A method and device for controlling the center of mass motion of optically suspended particles

Abstract

The present invention discloses a method and device for manipulating the center-of-mass motion of optically suspended particles. Optical tweezers are used to simultaneously suspend a three-level atom and a nanoparticle in an optical cavity. The optical cavity is driven by an external laser to form a stable standing wave light field within the cavity. The cavity light field acts as a bridge to couple with both the atomic energy level transition and the particle center-of-mass motion. By regulating the atomic energy level transition, the nanoparticle center-of-mass motion can be switched between Fock states #imgabs0#, thereby achieving precise manipulation of the particle center-of-mass motion.

Description

Technical Field

[0001] The present invention relates to the field of controlling the center-of-mass motion of optically suspended particles, and in particular to a method and device for controlling the center-of-mass motion of optically suspended particles. Background Art

[0002] Since Arthur Ashkin first experimentally proposed optical tweezers, they have been widely used in many fields, including biology, quantum information, and cutting-edge physics research, as a powerful tool for flexibly manipulating micro- and nanoscale objects (including dielectric particles and neutral atoms). Arthur Ashkin, the inventor of optical tweezers, was also awarded the Nobel Prize in Physics in 2018. In particular, the use of optical tweezers to suspend micro- and nanoscale dielectric objects in a vacuum environment to form a suspended optical force system has become a research hotspot in the field of physics in recent years. It is used to measure precise physical quantities, including extremely weak forces, inertial acceleration, and extremely weak rotations, as well as to study cutting-edge physics problems, including non-Newtonian gravity, gravitational wave measurements, and the detection of dark matter and dark energy.

[0003] In a suspended optical force system, the optical levitation of mechanical oscillators avoids the loss and noise caused by mechanical support. At the same time, the high vacuum environment can greatly reduce the influence of the thermal noise of the surrounding gas molecules on the motion of the mechanical oscillators, which gives the suspended optical force system an ultra-high detection sensitivity. At the same time, optical tweezers have the ability to manipulate mechanical oscillators. That is, the suspended optical force system can manipulate the motion of micro- and nano-scale particles in different degrees of freedom with ultra-high precision, making it an ideal platform for studying mesoscopic / microscopic physics problems, such as non-equilibrium thermodynamics. In recent years, based on active feedback cooling and passive cavity cooling schemes, people have cooled the center of mass motion of mechanical oscillators to near the quantum ground state or the quantum ground state, forming a quantum suspended optical force system, which provides a feasible experimental platform for studying cutting-edge quantum object problems such as quantum interference phenomena and classical quantum boundaries at the macroscopic scale.

[0004] As we enter the quantum realm, manipulating the quantum state of mechanical oscillators has become crucial. This is because preparing a quantum system to the desired quantum state or manipulating the system to perform quantum state transitions (quantum gates) are essential fundamental operations, both in quantum communication and quantum computing, as well as in quantum measurement. Currently, in the field of suspended optomechanics, active feedback cooling or passive cavity cooling can be used to prepare the ground state of the center-of-mass motion of mechanical oscillators, but methods for effectively and precisely manipulating the motion of mechanical oscillators are still lacking. Summary of the Invention

[0005] In response to the lack of methods for precisely manipulating the quantum motion states of mechanical oscillators in suspended optical force systems, the present invention provides a method and apparatus for manipulating the center-of-mass motion of optically suspended nanoparticles. Optical tweezers are used to capture and suspend a three-level atom and a nanoparticle in an optical cavity. The cavity is driven by an external laser LC to form a stable standing wave cavity field. The standing wave field in the cavity acts as a bridge, coupling with both the atomic energy level transition and the center-of-mass motion of the particle, effectively achieving the coupling between the atomic energy level transition and the center-of-mass motion of the nanoparticle. Therefore, precise manipulation of the center-of-mass motion of the nanoparticle can be achieved by laser-controlled atomic energy level transitions.

[0006] The purpose of the present invention is achieved through the following technical solutions:

[0007] A method for manipulating the center-of-mass motion of optically suspended particles, using optical tweezers to simultaneously suspend a three-level atom and a nanoparticle in an optical cavity; the optical cavity is driven by an external laser to excite a stable standing wave light field in the cavity; the cavity light field acts as a bridge to simultaneously couple the atomic energy level transition and the center-of-mass motion of the particle; the center-of-mass motion of the nanoparticle is achieved in the Fock state by regulating the atomic energy level transition. The conversion between them can achieve precise control of the motion state of the particle center of mass.

[0008] Furthermore, a three-level atom has an excited state |s> and two ground states |e> and |g>; among them, the energy level transition Driven by a beam of classical laser LA, the energy level transition It is coupled to the standing wave field in the cavity, and the center-of-mass motion of the nanoparticle is also coupled to the same cavity light field.

[0009] Furthermore, the cavity light field detuning amount is adjusted to form a JC form or anti-JC form of interaction Hamiltonian between the three-level atom and the center-of-mass motion of the nanoparticle, and the center-of-mass motion of the nanoparticle is realized in the Fock state by using these two forms of Hamiltonian. Mutual conversion between.

[0010] Furthermore, after cooling the center-of-mass motion of the nanoparticle to the quantum ground state, the JC and anti-JC forms of the interaction Hamiltonian are alternately used to drive the center-of-mass motion of the nanoparticle to an arbitrary Fock state |n>.

[0011] Furthermore, an active feedback cooling scheme or a passive cavity cooling scheme is used to cool the center-of-mass motion of the nanoparticle to a quantum ground state.

[0012] Furthermore, the alternate use of the JC and anti-JC forms of the interaction Hamiltonian to drive the center of mass motion of the nanoparticle to an arbitrary Fock state |n> is achieved through the following sub-steps:

[0013] (1) Calculate the action time series τ0, τ1, ...τ according to the target state |n> n-1 and the detuning sequence Δ0, Δ1, ... Δ n-1 ;

[0014] (2) Initialize the atoms and prepare them in the excited state |s>;

[0015] (3) Cooling the center of mass motion of the nanoparticle to the ground state |0>;

[0016] (4) Adjust the cavity mode detuning to Δ0 to form a JC Hamiltonian. Continue the action for τ0, and the nanoparticles are driven to the |1> state.

[0017] (5) Adjust the cavity mode detuning to Δ1 to form the anti-JC Hamiltonian. Continue the action for τ1 time, and the nanoparticles are driven to the |2> state.

[0018] (6) Similarly, the JC and anti-JC forms of the interaction Hamiltonian are used alternately, and the corresponding detuning amount and action time are adjusted each time according to the detuning amount and time series until the nanoparticle is driven to the target state |n>.

[0019] A device for manipulating the center-of-mass motion of optically suspended particles, the device being used to implement a method for manipulating the center-of-mass motion of optically suspended particles, the device comprising a laser, an optical cavity, optical tweezers, three-level atoms, and nanoparticles;

[0020] The optical axis of the laser coincides with the optical axis of the optical cavity, driving the optical cavity from one side to form a standing wave light field; the optical tweezers simultaneously suspend three-level atoms and nanoparticles in the optical cavity; the optical tweezers freely adjust the positions of the atoms and nanoparticles in the optical cavity.

[0021] Furthermore, the laser is a laser with a wavelength of 1064 nm.

[0022] Furthermore, the optical cavity is a high-fineness cavity with a finesse greater than 100,000 and a cavity mirror reflectivity greater than or equal to 99.998%.

[0023] Furthermore, the optical tweezers include a first optical tweezers and a second optical tweezers, wherein the first optical tweezers are used to suspend the three-level atoms in the optical cavity and adjust the position of the atoms in the cavity; the second optical tweezers are used to suspend the nanoparticles in the optical cavity and adjust the position of the nanoparticles in the optical cavity.

[0024] The beneficial effects of the present invention are as follows:

[0025] The method and device for controlling the center-of-mass motion of optically suspended particles proposed in the present invention can form a JC or anti-JC Hamiltonian between the atoms and the center-of-mass motion of the nanoparticles by adjusting the cavity light field detuning amount; using them, the center-of-mass motion of the nanoparticles can be controlled in the Fock state. The mutual conversion between them can achieve precise control of the center of mass motion of the mechanical oscillator. BRIEF DESCRIPTION OF THE DRAWINGS

[0026] Exemplary embodiments will be described in detail herein, with examples illustrated in the accompanying drawings. When the following description refers to the drawings, identical numerals in different figures represent identical or similar elements unless otherwise indicated. The embodiments described in the following exemplary embodiments are not intended to represent all embodiments consistent with the present application. Rather, they are merely examples of apparatus and methods consistent with certain aspects of the present application, as detailed in the appended claims.

[0027] The block diagrams shown in the accompanying drawings are merely functional entities and do not necessarily correspond to physically separate entities. That is, these functional entities may be implemented in software, in one or more hardware modules or integrated circuits, or in different networks and / or processor devices and / or microcontroller devices.

[0028] The flowcharts shown in the accompanying drawings are for illustrative purposes only and do not necessarily include all contents and operations / steps, nor must they be executed in the order described. For example, some operations / steps may be decomposed, while others may be combined or partially combined. Therefore, the actual execution order may vary depending on the actual situation.

[0029] Figure 1 Schematic diagram of a device of the present invention according to an exemplary embodiment, wherein the device includes a laser 1 , an optical cavity 2 , first optical tweezers 3 , second optical tweezers 4 , three-level atoms 5 , and nanoparticles 6 .

[0030] Figure 2 FIG1 is a schematic diagram showing the principle of controlling the center-of-mass motion of optically suspended particles according to an exemplary embodiment of the present invention.

[0031] Figure 3 The flowchart of controlling the center-of-mass motion of optically suspended particles according to an exemplary embodiment of the present invention is shown.

[0032] Figure 4 Time evolution curves of the population of the quantum states |e, 0>, |g, 1>, |e, 2> under the original Hamiltonian and (a) the equivalent JC interaction Hamiltonian and (b) the equivalent anti-JC interaction Hamiltonian.

[0033] Figure 5The numerical results of driving a nanoparticle from its ground state to the Fock state |2> by alternating the JC and anti-JC interaction Hamiltonians are presented. Specifically, the time evolution curve of the average phonon number of the nanoparticle center of mass motion is given. DETAILED DESCRIPTION

[0034] Exemplary embodiments will be described in detail herein, with examples illustrated in the accompanying drawings. In the following description, when referring to the drawings, identical numerals in different figures represent identical or similar elements, unless otherwise indicated. The embodiments described in the following exemplary embodiments are not intended to represent all embodiments consistent with the present application. Rather, they are merely examples of apparatus and methods consistent with certain aspects of the present application, as detailed in the appended claims.

[0035] The terms used in this application are for the purpose of describing specific embodiments only and are not intended to limit this application. As used in this application and the appended claims, the singular forms "a," "an," "the," and "the" are intended to include the plural forms, unless the context clearly indicates otherwise. It should also be understood that the term "and / or" as used herein refers to and encompasses any and all possible combinations of one or more of the associated listed items.

[0036] It should be understood that although the terms first, second, third, etc. may be used in this application to describe various information, such information should not be limited to these terms. These terms are only used to distinguish information of the same type from each other. For example, without departing from the scope of this application, first information may also be referred to as second information, and similarly, second information may also be referred to as first information. Depending on the context, the word "if" as used herein may be interpreted as "at the time of" or "when" or "in response to determining".

[0037] like Figure 1 As shown in FIG. 1 , as one embodiment, the device for manipulating the center-of-mass motion of optically suspended particles of the present invention includes a laser 1 , an optical cavity 2 , a first optical tweezer 3 , a second optical tweezer 4 , a three-level atom 5 , and a nanoparticle 6 .

[0038] The optical axis of laser 1 coincides with that of optical cavity 2, driving optical cavity 2 from the left to form a stable standing wave optical field. A first optical tweezer 3 suspends a three-level atom in optical cavity 2, while a second optical tweezer 4 suspends a nanoparticle 6 in optical cavity 2. The first and second optical tweezers 3 and 4 can adjust the positions of the atoms and nanoparticles in optical cavity 2, respectively, to change the coupling strength between the atoms and cavity modes, and between the nanoparticles and cavity modes. A single holographic optical tweezer can also be used to simultaneously suspend three-level atoms and nanoparticles. The laser preferably has a wavelength of 1064 nm.

[0039] The principle of controlling the center of mass motion of optical levitated particles proposed in this invention is shown in Figure 2 , as follows:

[0040] The three-level atoms and nanoparticles are coupled to the cavity light field at the same time. The cavity light field acts as a bridge to couple the atomic energy level transition and the center-of-mass motion of the nanoparticles. Therefore, regulating the atomic energy level transition can realize the center-of-mass motion of the nanoparticles in the Fock state. Furthermore, after cooling the center-of-mass motion of the nanoparticle to its quantum ground state, the JC and anti-JC interaction Hamiltonians are used alternately to drive the center-of-mass motion of the particle from the ground state to an arbitrary Fock state |n>, thereby achieving precise control of the center-of-mass motion of the nanoparticle.

[0041] Figure 3 A flowchart for manipulating the center-of-mass motion of optically suspended particles is given, i.e., the specific steps for driving the center-of-mass motion of nanoparticles from the ground state to an arbitrary Fock state |n>:

[0042] (1) Calculate the action time series τ0, τ1, ..., τ according to the target state |n> n-1 and the detuning sequence Δ0, Δ1, ... Δ n-1 ;

[0043] (2) Initialize the atoms and prepare them in the excited state |s>;

[0044] (3) Cooling the center of mass motion of the nanoparticle to the ground state |0>;

[0045] (4) Adjust the cavity mode detuning to Δ0 to form a JC Hamiltonian. Continue the action for τ0, and the nanoparticles are driven to the |1> state.

[0046] (5) Adjust the cavity mode detuning to Δ1 to form the anti-JC Hamiltonian. Continue the action for τ1 time, and the nanoparticles are driven to the |2> state.

[0047] (6) Similarly, the JC and anti-JC forms of the interaction Hamiltonian are used alternately, and the corresponding detuning amount and action time are adjusted each time according to the detuning amount and time series until the nanoparticle is driven to the target state |n>.

[0048] The following are given: (1) the specific derivation process from the system's original Hamiltonian to the equivalent JC and anti-JC Hamiltonians; (2) the principle of manipulating the center-of-mass motion of nanoparticles based on the JC and anti-JC Hamiltonians; and (3) the numerical simulation results of manipulating the center-of-mass motion of optically suspended particles.

[0049] 1. Equivalent JC and anti-JC interaction Hamiltonians

[0050] like Figure 1Consider a hybrid levitation optomechanical system, where a three-level atom and a nanoparticle are simultaneously suspended in an optical cavity by two optical tweezers; an external laser LC drives the optical cavity, forming a stable standing wave field in the cavity; the three-level atom has an excited state |s> and two ground states |e> and |g>. Among them, the atomic energy level transition Driven by a beam of classical laser LA, the energy level transition is coupled to the standing wave field in the cavity; at the same time, the center-of-mass motion of the nanoparticle is also coupled to the light field in the same cavity; the Hamiltonian of the entire hybrid levitation optomechanical system is

[0051]

[0052] in, and Represent the annihilation operators of cavity mode and nanoparticle (mechanical oscillator) respectively; ω c ,ω m ,ω i = s,e，g They are the frequencies of cavity mode, mechanical oscillator, and atomic energy level respectively.

[0053] The Hamiltonian of the interaction between atoms and cavity modes after the spin wave approximation is:

[0054]

[0055] in, is the interaction strength between atoms and cavity mode; ω Ω and Ω are the driving frequency and driving intensity of the classical driving laser LA, respectively.

[0056] The Hamiltonian of the interaction between the mechanical oscillator and the cavity mode based on the dipole-dipole interaction is:

[0057]

[0058] Among them, g m is the coupling strength, and its size can be adjusted by changing the position of the mechanical oscillator in the cavity through optical tweezers.

[0059] The driving Hamiltonian of the external laser LC is

[0060]

[0061] Among them, ω L and η are the driving frequency and driving intensity of the external driving laser LC, respectively.

[0062] After rotating the Hamiltonian of the entire system to the driving frequency of the laser LC, the time-independent Hamiltonian can be obtained as follows:

[0063]

[0064] The relevant detuning amount is defined as follows: Δ c =ω c -ω L , Δ g =ω g +ω L , Δ e =ω e +ω Ω .

[0065] In the case of strong driving, the cavity mode and mechanical oscillator operators can be rewritten as the sum of classical averages and quantum fluctuation operators, i.e., and Using the standard linearization procedure, we obtain the linear atom-oscillator-cavity (AOC) interaction Hamiltonian

[0066]

[0067] Among them, Δ′ c is the equivalent detuning amount, g a and G m are the equivalent coupling strengths between atoms and cavity modes and between mechanical oscillators and cavity modes, respectively.

[0068] Under large detuning conditions, after adiabatically eliminating the atomic excited state |s>, the equivalent two-level atom-mechanical oscillator-cavity Hamiltonian can be obtained as

[0069]

[0070] Among them, the equivalent detuning Equivalent coupling strength In the above formula, the interaction term between the mechanical oscillator and the cavity mode is Contains vortex terms and anti-rotational wave term We can adjust the detuning value Δ′ appropriately c , choose to keep the gyro terms or to remove the gyro terms.

[0071] When the detuning amount Δ′ c ~ω m When , only the gyro-wave term is retained in the Hamiltonian. After adiabatically eliminating the cavity mode, the equivalent Hamiltonian of the atom-mechanical oscillator is obtained as

[0072]

[0073] Among them, the equivalent detuning Equivalent coupling strength The above formula is the interaction Hamiltonian in standard JC form.

[0074] Similarly, when the detuning amount Δ′ c ~-ω m , only the anti-rotational wave term is retained in the Hamiltonian, and the anti-JC Hamiltonian is obtained as follows:

[0075]

[0076] in,

[0077] 2. Principle of Mechanical Oscillator Center-of-Mass Motion Control Based on JC and Anti-JC Hamiltonians

[0078] In the Hilbert subspace {|e, n〉, |g, n+1〉}, consider the resonance condition ω′ m -(Δ″ e -Δ g )=0, the JC interaction Hamiltonian in the interaction picture is

[0079]

[0080] Assume that the initial state of the atomic-mechanical oscillator is |ψ i >=|e,n>, by solving the Schrödinger equation The wave function of the system at any time is

[0081]

[0082] in, is the Rabi frequency, and the population evolution of quantum states |e, n〉 and |g, n+1〉 with time is

[0083]

[0084]

[0085] It can be seen from the above formula that under the action of the JC form of the interaction Hamiltonian, |e, n> and |g, n+1> undergo Rabi oscillations, that is, the center of mass motion of the mechanical oscillator is in the Fock state. Time period τ n =τ / Ω n Similarly, under the action of the anti-JC interaction Hamiltonian, |g, n> and |e, n+1> also undergo periodic Rabi oscillations. Therefore, by alternately using the JC and anti-JC forms of the interaction Hamiltonian, the center-of-mass motion of the mechanical oscillator can be converted between arbitrary Fock states |m> and |n>.

[0086] Currently, mechanical oscillators can be cooled to the quantum ground state through active feedback cooling or passive cavity cooling. Therefore, the center-of-mass motion manipulation method proposed in this invention can achieve precise control of the center-of-mass motion of mechanical oscillators.

[0087] 3. Numerical simulation results of manipulating the center of mass motion of optically levitated particles

[0088] This embodiment numerically simulates the process of manipulating the center-of-mass motion of optically levitated particles. Figure 4 The time evolution of the populations of the quantum states |e,0>, |g,1>, and |e,2> is given in the original Hamiltonian, (a) the equivalent JC Hamiltonian, and (b) the equivalent anti-JC Hamiltonian. The relevant parameters are set as follows:

[0089] For the JC interaction Hamiltonian, ω b =1,Δ′ c =1.1,ω s =0,Δ e =-11.4688, Δ g =-12.5,Ω=0.598111,g a =0.2, G m =0.01;

[0090] For the anti-JC interaction Hamiltonian, ω b =1,Δ′ c =-0.9,ω s =0,Δ e =-10.2748, Δ g =-9.3,Ω=0.488156,g a =0.2, G m =0.01.

[0091] As can be seen from the figure, by changing the cavity detuning amount, Rabi oscillations between quantum states |e,0> and |g,1> and quantum states |g,1> and |e,2> can be realized, and after a fixed time interval τ n =τ / Ω n The evolution of mechanical oscillators can be completed Bidirectional conversion. At the same time, Figure 4 The results show that the evolution of the population of each quantum state under the equivalent Hamiltonian is consistent with their evolution under the original Hamiltonian. Figure 4From the numerical results, it can be seen that by adjusting the detuning of the cavity light field, the JC and anti-JC forms of interaction Hamiltonians can be formed between the atoms and the mechanical oscillator. Then, alternating between the JC and anti-JC forms of Hamiltonians can drive the center-of-mass motion of the mechanical oscillator from the ground state |0> to an arbitrary Fock state |n>.

[0092] Figure 5 Numerical results are given for driving a mechanical oscillator from the ground state to the |2> state by alternating between the JC and anti-JC Hamiltonians. Specifically, the time evolution of the average phonon number of the mechanical oscillator is given. The relevant parameters are set as follows:

[0093] For the JC interaction Hamiltonian, ω b =1,Δ′ c =1.1,ω s =0,Δ e =-11.4688, Δ g =-12.5,Ω=0.59811,g a =0.2, G m =0.01,τ0=3141;

[0094] For the anti-JC interaction Hamiltonian, ω b =1,Δ′ c =-0.9,ω s =0,Δ e =-10.2848, Δ g =-9.3,Ω=0.488156,g a =0.2, G m =0.01,τ1=2198.

[0095] from Figure 5 It can be seen that the average phonon number of the mechanical oscillator gradually increases from 0 to 2, indicating that the mechanical oscillator is driven from the ground state to the Fock state |2>. This numerical result shows that by continuously alternating the JC and anti-JC Hamiltonians (changing the detuning amount), the mechanical oscillator can be driven from the ground state to the |2> state; further, a similar method can be used to drive the center of mass motion of the mechanical oscillator from the ground state to any Fock state |n>.

[0096] Those skilled in the art will understand that the foregoing descriptions are merely preferred embodiments of the invention and are not intended to limit the invention. Although the invention has been described in detail with reference to the foregoing examples, those skilled in the art will still be able to modify the technical solutions described in the foregoing examples or substitute equivalents for some of the technical features therein. Any modifications, equivalent substitutions, etc. made within the spirit and principles of the invention shall be included within the scope of protection of the invention.

Claims

1. A method for controlling the center of mass motion of optically suspended particles, characterized in that: Optical tweezers are used to suspend a three-level atom and a nanoparticle simultaneously in an optical cavity. The optical cavity is driven by an external laser to excite a stable standing wave light field in the cavity. The cavity light field acts as a bridge to couple the atomic energy level transition and the center-of-mass motion of the nanoparticle simultaneously. By adjusting the atomic energy level transition, the center-of-mass motion of the nanoparticle is realized in the Fock state. The conversion between the three-level atoms and the center of mass motion of the nanoparticles is realized, thereby realizing the precise control of the center of mass motion of the particle, specifically: adjusting the cavity light field detuning amount so that the JC form or anti-JC form of interaction Hamiltonian is formed between the three-level atoms and the center of mass motion of the nanoparticles, and using these two forms of Hamiltonian to realize the center of mass motion of the nanoparticles in the Fock state Mutual conversion between.

2. The method for controlling the center of mass motion of optically levitated particles according to claim 1, wherein: A three-level atom has an excited state and two ground states and ; Among them, energy level transition Driven by a beam of classical laser LA, the energy level transition It is coupled to the standing wave field in the cavity, and the center-of-mass motion of the nanoparticle is also coupled to the same cavity light field.

3. The method for controlling the center of mass motion of optical levitated particles according to claim 1, wherein: After cooling the center-of-mass motion of the nanoparticle to the quantum ground state, the JC and anti-JC forms of the interaction Hamiltonian are used alternately to drive the center-of-mass motion of the nanoparticle to an arbitrary Fock state. superior.

4. The method for controlling the center-of-mass motion of optically levitated particles according to claim 3, wherein: An active feedback cooling scheme or a passive cavity cooling scheme is used to cool the center-of-mass motion of the nanoparticle to the quantum ground state.

5. The method for controlling the center-of-mass motion of optically levitated particles according to claim 3, wherein: The alternating use of JC and anti-JC forms of the interaction Hamiltonian drives the center of mass motion of the nanoparticle to an arbitrary Fock state. , which is achieved through the following sub-steps: (1) According to the target state Calculate action time series and detuning sequence ; (2) Initialize the atoms and prepare them in an excited state superior; (3) Cooling the center of mass motion of nanoparticles to the ground state ; (4) Adjust the cavity mode detuning amount to , forming a JC form Hamiltonian, continuous action time, the nanoparticles are driven to state; (5) Adjust the cavity mode detuning amount to , forming an anti-JC Hamiltonian, which acts continuously time, the nanoparticles are driven to state; (6) Similarly, the JC and anti-JC forms of the interaction Hamiltonian are used alternately, and the detuning amount and action time are adjusted each time according to the detuning amount and time series until the nanoparticles are driven to the target state. .

6. A device for manipulating the center of mass motion of optically suspended particles, characterized in that: The device is used to implement the method for manipulating the center-of-mass motion of optically suspended particles as described in claim 1, and the device comprises a laser, an optical cavity, optical tweezers, three-level atoms, and nanoparticles; The optical axis of the laser coincides with the optical axis of the optical cavity, driving the optical cavity from one side to form a standing wave light field; the optical tweezers simultaneously suspend three-level atoms and nanoparticles in the optical cavity; the optical tweezers freely adjust the positions of the atoms and nanoparticles in the optical cavity.

7. The device for controlling the center-of-mass motion of optically levitated particles according to claim 6, wherein: The laser is a laser with a wavelength of 1064 nm.

8. The device for controlling the center of mass motion of optically levitated particles according to claim 6, wherein: The optical cavity uses a high-fineness cavity with a fineness greater than 100,000 and a cavity mirror reflectivity greater than or equal to 99.998%.

9. The device for controlling the center-of-mass motion of optically levitated particles according to claim 6, wherein: The optical tweezers include a first optical tweezer and a second optical tweezer. The first optical tweezers are used to suspend the three-level atoms in the optical cavity and adjust the position of the atoms in the cavity; the second optical tweezers are used to suspend the nanoparticles in the optical cavity and adjust the position of the nanoparticles in the optical cavity.

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