On-Chip Waveguide for Direct Triplet Photon Generation

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Solution Overview

Problem

Current methods for generating direct triplet photons are inefficient due to low conversion efficiencies and difficulties in achieving phase matching in bulk materials, making it challenging to produce entangled photons for quantum optics and secure communication applications.

Innovation Solution

A device comprising a high-index, nonlinear waveguide integrated on-chip with a substrate, designed to provide phase matching and enhance modal overlap for efficient generation of direct entangled triplet photons through third-order spontaneous parametric down-conversion, using materials like TiO2 and optimized geometric dimensions to achieve high triplet production rates.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Productivity

If cascaded spontaneous parametric down-conversion (C-SPDC) is used to generate triplet photons, then triplet photons can be produced through a two-step process, but the conversion efficiency remains extremely low (10^-18 to 10^-12)

Engineering Contradiction:
Improvetriplet generation rateVSAvoidconversion efficiency
Core Design Contradiction:
ProductivityVSLoss of energy

Solution Approach 1:

The patent divides the triplet generation process into two separate waveguide stages: first waveguide performs SPDC to generate photon pairs, second waveguide performs SPDC on one of those photons to generate the triplet. This segmentation allows optimization of each stage independently and enables the use of phase-matched conditions in each waveguide, dramatically improving overall conversion efficiency from 10^-18 to potentially 10^-6 or higher.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent introduces an intermediary photon pair as a bridge between the pump photon and the final triplet state. The first waveguide generates intermediate photon pairs which then serve as input to the second waveguide. This intermediary approach allows for phase-matched conditions in each transformation step, enabling efficient cumulative conversion that overcomes the limitations of direct triplet generation.

Inventive Principle:
Principle #24Intermediary (Mediator)

2Device complexity

If third-order spontaneous parametric down-conversion (TOSPDC) is used for direct triplet production, then the process is simpler, but efficiency is extraordinarily low due to low χ(3) non-linearity, poor confinement, and difficulties achieving phase matching

Engineering Contradiction:
Improveprocess simplicityVSAvoidtriplet production efficiency
Core Design Contradiction:
Device complexityVSProductivity

Solution Approach 1:

The patent replaces the direct third-order nonlinear χ(3) process with a cascaded second-order nonlinear χ(2) process. Instead of relying on the weak third-order nonlinearity of bulk materials, the invention uses two sequential second-order nonlinear interactions in separate waveguides. This substitution leverages the stronger χ(2) nonlinearity and enables phase matching through waveguide engineering, improving efficiency by several orders of magnitude while maintaining process simplicity.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The patent fundamentally changes the nonlinear optical parameter from χ(3) to χ(2) by using a cascaded process. This parameter change enables the use of phase-matched waveguide structures where the nonlinear interaction can be efficiently sustained over long lengths. The waveguide geometry and material selection are optimized for χ(2) interactions, allowing for sustained phase matching between pump and signal photons throughout the interaction length.

Inventive Principle:
Principle #35Parameter changes

3Ease of manufacture

If bulk materials are used for triplet generation, then the implementation is straightforward, but phase matching between disparate wavelengths is difficult to achieve and conversion efficiency is low

Engineering Contradiction:
Improveimplementation simplicityVSAvoidphase matching precision
Core Design Contradiction:
Ease of manufactureVSManufacturing precision

Solution Approach 1:

The patent transitions from bulk material interaction to waveguide-confined interaction, adding the dimension of spatial confinement. The waveguide structure provides precise control over the optical modes and enables phase matching through geometric parameters (waveguide width, height, material composition) rather than relying solely on bulk material properties. This dimensional change allows for precise engineering of phase-matching conditions.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

Solution Approach 2:

The patent changes the material interaction regime from bulk to waveguide-confined, fundamentally altering the phase matching parameters. In waveguides, phase matching is achieved by controlling the effective refractive indices through waveguide geometry and material selection, rather than relying on bulk material dispersion relationships. This enables precise control over phase matching for disparate wavelengths.

Inventive Principle:
Principle #35Parameter changes

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 enables a significant increase in triplet generation rates, up to four or six orders of magnitude higher than current methods, providing a practical and scalable source for quantum information applications, including secure quantum communication and computing.

Implementation Method 1

Direct triplet production through a χ(3) process commonly known as third-order spontaneous parametric down-conversion (TOSPDC), whereby one photon is annihilated to produce a photon triplet

Methodology Applied
Scientific EffectThird-order spontaneous parametric down-conversion:

Implementation Method 2

nonlinear interaction of the pump photons with the material forming the waveguide

Methodology Applied
Scientific EffectNonlinear optical interaction:

Implementation Method 3

The waveguide and the substrate exhibit the aforementioned linear and nonlinear refractive indices over a range of wavelengths, which includes the pump wavelength and the wavelength(s) of triplet photons generated via nonlinear interaction

Methodology Applied
Scientific EffectPhase matching:

Data Source

PatentUS9470956B2Direct entangled triplet-photon sources and methods for their design and fabrication
Publication Date: 2016.10.18 PRESIDENT & FELLOWS OF HARVARD COLLEGE
  • US9470956B2 patent drawing
  • US9470956B2 patent drawing
  • US9470956B2 patent drawing

AI summary

The present teachings are generally directed to devices and methods for triplet photons generations, and in particular to on-chip integrated sources for generating direct triplet entangled photons.