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Hauptverfasser: Kruglikov, Leo, Ferrari, Filippo, Savona, Vincenzo
Format: Preprint
Veröffentlicht: 2025
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Online-Zugang:https://arxiv.org/abs/2508.13398
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author Kruglikov, Leo
Ferrari, Filippo
Savona, Vincenzo
author_facet Kruglikov, Leo
Ferrari, Filippo
Savona, Vincenzo
contents We investigate the steady-state dynamical regimes of boundary-driven, dissipative bosonic chains subjected to $n$-photon drives. Using the truncated Wigner approximation, we explore how multi-photon drives shape the interplay between quantum fluctuations, nonlinear interactions, and dissipative processes in such quantum systems. We identify two main regimes: a chaotic hydrodynamic regime characterized by the restoration of a local $\mathbb{U}(1)$ symmetry, photon saturation due to Kerr nonlinearity, and spatial prethermalization effects; and a non-chaotic resonant nonlinear wave (RNW) regime exhibiting sub-Poissonian photon statistics, persistent $\mathbb{Z}_n$ symmetry, and quantum-driven phase decoherence. Our findings reveal the universal nature of the hydrodynamic regime and highlight the RNW regime's sensitivity to boundary driving conditions, suggesting novel routes for quantum state engineering in driven-dissipative quantum devices. These results are experimentally relevant for state-of-the-art circuit quantum electrodynamics platforms.
format Preprint
id arxiv_https___arxiv_org_abs_2508_13398
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Chaos and quantum regimes in $n$-photon driven, dissipative bosonic chains
Kruglikov, Leo
Ferrari, Filippo
Savona, Vincenzo
Quantum Physics
We investigate the steady-state dynamical regimes of boundary-driven, dissipative bosonic chains subjected to $n$-photon drives. Using the truncated Wigner approximation, we explore how multi-photon drives shape the interplay between quantum fluctuations, nonlinear interactions, and dissipative processes in such quantum systems. We identify two main regimes: a chaotic hydrodynamic regime characterized by the restoration of a local $\mathbb{U}(1)$ symmetry, photon saturation due to Kerr nonlinearity, and spatial prethermalization effects; and a non-chaotic resonant nonlinear wave (RNW) regime exhibiting sub-Poissonian photon statistics, persistent $\mathbb{Z}_n$ symmetry, and quantum-driven phase decoherence. Our findings reveal the universal nature of the hydrodynamic regime and highlight the RNW regime's sensitivity to boundary driving conditions, suggesting novel routes for quantum state engineering in driven-dissipative quantum devices. These results are experimentally relevant for state-of-the-art circuit quantum electrodynamics platforms.
title Chaos and quantum regimes in $n$-photon driven, dissipative bosonic chains
topic Quantum Physics
url https://arxiv.org/abs/2508.13398