Decoherence-free many-body Hamiltonians in nonlinear waveguide quantum electrodynamics

Fuente: arXiv
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Main Authors: Karnieli, Aviv, Tziperman, Offek, Roques-Carmes, Charles, Fan, Shanhui
Format: Preprint
Published: 2024
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author Karnieli, Aviv
Tziperman, Offek
Roques-Carmes, Charles
Fan, Shanhui
author_facet Karnieli, Aviv
Tziperman, Offek
Roques-Carmes, Charles
Fan, Shanhui
contents Enhancing interactions in many-body quantum systems, while protecting them from environmental decoherence, is at the heart of many quantum technologies. Waveguide quantum electrodynamics is a promising platform for achieving this, as it hosts infinite-range interactions and decoherence-free subspaces of quantum emitters. However, as coherent interactions between emitters are typically washed out in the wavelength-spacing regime hosting decoherence-free states, coherent control over the latter becomes limited, and many-body Hamiltonians in this important regime remain out of reach. Here we show that by incorporating emitter arrays with nonlinear waveguides hosting parametric gain, we obtain a unique class of many-body interaction Hamiltonians with coupling strengths that increase with emitter spacing, and persist even for wavelength-spaced arrays. We then propose to use these Hamiltonians to coherently generate decoherence-free states directly from the ground state, using only global squeezing drives, without the need for local addressing of individual emitters. Interestingly, we find that the dynamics approaches a unitary evolution in the limit of weak intra-waveguide squeezing, and discuss potential experimental realizations of this effect. Our results pave the way towards coherent control protocols in waveguide quantum electrodynamics, with applications including quantum computing, simulation, memory and nonclassical light generation.
format Preprint
id arxiv_https___arxiv_org_abs_2405_20241
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Decoherence-free many-body Hamiltonians in nonlinear waveguide quantum electrodynamics
Karnieli, Aviv
Tziperman, Offek
Roques-Carmes, Charles
Fan, Shanhui
Quantum Physics
Enhancing interactions in many-body quantum systems, while protecting them from environmental decoherence, is at the heart of many quantum technologies. Waveguide quantum electrodynamics is a promising platform for achieving this, as it hosts infinite-range interactions and decoherence-free subspaces of quantum emitters. However, as coherent interactions between emitters are typically washed out in the wavelength-spacing regime hosting decoherence-free states, coherent control over the latter becomes limited, and many-body Hamiltonians in this important regime remain out of reach. Here we show that by incorporating emitter arrays with nonlinear waveguides hosting parametric gain, we obtain a unique class of many-body interaction Hamiltonians with coupling strengths that increase with emitter spacing, and persist even for wavelength-spaced arrays. We then propose to use these Hamiltonians to coherently generate decoherence-free states directly from the ground state, using only global squeezing drives, without the need for local addressing of individual emitters. Interestingly, we find that the dynamics approaches a unitary evolution in the limit of weak intra-waveguide squeezing, and discuss potential experimental realizations of this effect. Our results pave the way towards coherent control protocols in waveguide quantum electrodynamics, with applications including quantum computing, simulation, memory and nonclassical light generation.
title Decoherence-free many-body Hamiltonians in nonlinear waveguide quantum electrodynamics
topic Quantum Physics
url https://arxiv.org/abs/2405.20241