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Kibble-Zurek Mechanism in the Open Quantum Rabi Model

Fuente: arXiv

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Auteurs principaux:	Pirozzi, T., Di Bello, G., Cataudella, V., Perroni, C. A., De Filippis, G.
Format:	Preprint
Publié:	2026
Sujets:	Quantum Physics Mesoscale and Nanoscale Physics
Accès en ligne:	Acceder al recurso
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author	Pirozzi, T. Di Bello, G. Cataudella, V. Perroni, C. A. De Filippis, G.
author_facet	Pirozzi, T. Di Bello, G. Cataudella, V. Perroni, C. A. De Filippis, G.
contents	The Kibble-Zurek mechanism provides a universal framework for predicting defect formation in non-equilibrium phase transitions. While Markovian dissipation typically degrades universal scaling, the impact of non-Markovian memory remains largely unexplored. We demonstrate that an Ohmic bath induces a Berezinskii-Kosterlitz-Thouless transition in the open quantum Rabi model. Using simulations based on Matrix Product States, we show that the excitation energy strictly follows universal Kibble-Zurek power-law scaling when evaluated at the freeze-out time. Crucially, we find that since the environment defines the universality class, dissipation does not inherently compete with adiabatic dynamics, in stark contrast to Markovian regimes. Our results establish the Kibble- Zurek mechanism as a robust witness of universality in open quantum systems, revealing that non-Markovian memory preserves the integrity of non-equilibrium scaling.
format	Preprint
id	arxiv_https___arxiv_org_abs_2603_16709
institution	arXiv
publishDate	2026
record_format	arxiv
spellingShingle	Kibble-Zurek Mechanism in the Open Quantum Rabi Model Pirozzi, T. Di Bello, G. Cataudella, V. Perroni, C. A. De Filippis, G. Quantum Physics Mesoscale and Nanoscale Physics The Kibble-Zurek mechanism provides a universal framework for predicting defect formation in non-equilibrium phase transitions. While Markovian dissipation typically degrades universal scaling, the impact of non-Markovian memory remains largely unexplored. We demonstrate that an Ohmic bath induces a Berezinskii-Kosterlitz-Thouless transition in the open quantum Rabi model. Using simulations based on Matrix Product States, we show that the excitation energy strictly follows universal Kibble-Zurek power-law scaling when evaluated at the freeze-out time. Crucially, we find that since the environment defines the universality class, dissipation does not inherently compete with adiabatic dynamics, in stark contrast to Markovian regimes. Our results establish the Kibble- Zurek mechanism as a robust witness of universality in open quantum systems, revealing that non-Markovian memory preserves the integrity of non-equilibrium scaling.
title	Kibble-Zurek Mechanism in the Open Quantum Rabi Model
topic	Quantum Physics Mesoscale and Nanoscale Physics
url	https://arxiv.org/abs/2603.16709