Guided Matter-Wave Sagnac Interferometer for High Precision Rotation
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Solution Overview
Problem
State-of-the-art matter-wave Sagnac interferometers are limited by their area, number of atoms, and momentum bandwidth, resulting in reduced sensitivity for detecting rotation frequencies compared to optical Sagnac interferometers.
Innovation Solution
A Sagnac interferometer employing guided matter waves with a loop guide that allows particles to propagate in opposite directions, enabling a high flux of particles with wide bandwidth and increasing the effective area without enlarging the physical loop size, thereby enhancing rotational sensitivity.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If state-of-the-art matter-wave Sagnac interferometers use free-space atom beams, then the interferometer can operate with matter waves, but the area, number of atoms, and momentum bandwidth are limited, reducing rotational sensitivity
Solution Approach 1:
The patent replaces free-space mechanical atom beam propagation with guided matter wave propagation through a quantum guide structure. This substitution enables confinement and control of matter waves, allowing for larger effective areas and higher atom numbers while maintaining coherence, thereby resolving the limitation on rotational sensitivity caused by restricted quantity of substance in free-space configurations
Solution Approach 2:
The patent transitions from one-dimensional free-space beam propagation to two-dimensional guided propagation within a confined quantum guide structure. This dimensional change enables the matter waves to traverse larger effective areas through multiple passes while remaining confined, simultaneously increasing the number of atoms that can be guided and maintaining momentum bandwidth, thus improving rotational sensitivity
2Measurement precision
If the physical loop size is enlarged to increase the area, then the Sagnac phase sensitivity improves, but the device size and complexity increase
Solution Approach 1:
The patent implements a nested configuration where matter waves make multiple passes through the same physical loop area by reflecting back and forth within the quantum guide. This nesting effect allows the effective area to be much larger than the physical footprint, achieving high Sagnac phase sensitivity without proportionally increasing the device's physical size and complexity
Solution Approach 2:
The patent introduces dynamic multiple-pass propagation where matter waves traverse the loop repeatedly in both directions. This dynamic approach effectively multiplies the sensing area without requiring a proportionally larger physical structure, as the same physical space is utilized multiple times through controlled reflections and recirculation of the matter wave
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The solution provides significantly improved rotational sensitivity by allowing particles to make multiple passes through the loop, resulting in a clear signal over noise and enabling the detection of small changes in rotation frequency with high precision.
Implementation Method 1
Sagnac effect is a phase shift induced in a wave propagating in a loop by rotation of the loop. Two waves propagating in opposite directions along a rotating closed loop may interfere in a point of exit, wherein the rotation may cause a phase shift between them.
Implementation Method 2
For matter waves of massive particles with mass m, the induced phase shift may be represented by Φmatter=(2mA/ħ)Ω, which is larger than the phase shift in an optical SI having the same area A by mc2/ħω
Data Source
AI summary
The present invention provides an interferometer apparatus comprising a matter-wave guide enclosing an area, wherein a flux of particles may be guided in the matter-wave guide in at least two opposite paths, the matter-wave guide is rotatable relative to an inertial frame of reference; a first beam splitter to split the first beam to at least second and third beams, each of the second and third beams is to be guided in another path of the two opposite paths; and a second beam splitter allowing particles of the second and third beams to exit the matter-wave guide in a first probability and to stay in the matter-wave guide in a second probability.