Quantum simulation of interacting bosons with propagating waveguide photons

Fuente: arXiv
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Autores principales: Zheng, Xinyuan, Mehrabad, Mahmoud Jalali, Dutt, Avik, Schine, Nathan, Waks, Edo
Formato: Preprint
Publicado: 2025
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author Zheng, Xinyuan
Mehrabad, Mahmoud Jalali
Dutt, Avik
Schine, Nathan
Waks, Edo
author_facet Zheng, Xinyuan
Mehrabad, Mahmoud Jalali
Dutt, Avik
Schine, Nathan
Waks, Edo
contents Optical networks composed of interconnected waveguides are a versatile platform to simulate bosonic physical phenomena. Significant work in the non-interacting regime has demonstrated the capabilities of this platform to simulate many exotic effects such as photon transport in the presence of gauge fields, dynamics of quantum walks, and topological transition and dissipation phenomena. However, the extension of these concepts to simulating interacting quantum many-body phenomena such as the Bose-Hubbard and the fractional quantum Hall (FQH) physics has remained elusive. In this work, we address this problem and demonstrate a framework for quantum many-body simulation as well as drive and dissipation in photonic waveguides. Specifically, we show that for waveguide photons, a tunable on-site interaction can be simulated using a photon-number-selective phase gate. We propose an implementation of such a phase gate based on a three-level-atom-mediated photon subtraction and addition. We apply this approach to bosonic lattice models and propose circuits that can accurately simulate the Bose-Hubbard and FQH Hamiltonian as benchmarking examples. Moreover, we show how to simulate the Lindbladian evolution with engineered dissipators such that the steady state of the Lindbadlian corresponds to the ground state of desired Hamiltonians. Our scheme extends the waveguide photonic simulation platform to the strongly interacting quantum many-body regime while retaining all of its crucial advantages, such as single-site addressability, Hamiltonian parameter controllability, and hardware efficiency.
format Preprint
id arxiv_https___arxiv_org_abs_2504_15441
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum simulation of interacting bosons with propagating waveguide photons
Zheng, Xinyuan
Mehrabad, Mahmoud Jalali
Dutt, Avik
Schine, Nathan
Waks, Edo
Quantum Physics
Atomic Physics
Optical networks composed of interconnected waveguides are a versatile platform to simulate bosonic physical phenomena. Significant work in the non-interacting regime has demonstrated the capabilities of this platform to simulate many exotic effects such as photon transport in the presence of gauge fields, dynamics of quantum walks, and topological transition and dissipation phenomena. However, the extension of these concepts to simulating interacting quantum many-body phenomena such as the Bose-Hubbard and the fractional quantum Hall (FQH) physics has remained elusive. In this work, we address this problem and demonstrate a framework for quantum many-body simulation as well as drive and dissipation in photonic waveguides. Specifically, we show that for waveguide photons, a tunable on-site interaction can be simulated using a photon-number-selective phase gate. We propose an implementation of such a phase gate based on a three-level-atom-mediated photon subtraction and addition. We apply this approach to bosonic lattice models and propose circuits that can accurately simulate the Bose-Hubbard and FQH Hamiltonian as benchmarking examples. Moreover, we show how to simulate the Lindbladian evolution with engineered dissipators such that the steady state of the Lindbadlian corresponds to the ground state of desired Hamiltonians. Our scheme extends the waveguide photonic simulation platform to the strongly interacting quantum many-body regime while retaining all of its crucial advantages, such as single-site addressability, Hamiltonian parameter controllability, and hardware efficiency.
title Quantum simulation of interacting bosons with propagating waveguide photons
topic Quantum Physics
Atomic Physics
url https://arxiv.org/abs/2504.15441