Dissipative Phase Transition in the Two-Photon Dicke Model

Fuente: arXiv
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Autori principali: Shah, Aanal Jayesh, Kirton, Peter, Felicetti, Simone, Alaeian, Hadiseh
Natura: Preprint
Pubblicazione: 2024
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author Shah, Aanal Jayesh
Kirton, Peter
Felicetti, Simone
Alaeian, Hadiseh
author_facet Shah, Aanal Jayesh
Kirton, Peter
Felicetti, Simone
Alaeian, Hadiseh
contents We explore the dissipative phase transition of the two-photon Dicke model, a topic that has garnered significant attention recently. Our analysis reveals that while single-photon loss does not stabilize the intrinsic instability in the model, the inclusion of two-photon loss restores stability, leading to the emergence of superradiant states which coexist with the normal vacuum states. Using a second-order cumulant expansion for the photons, we derive an analytical description of the system in the thermodynamic limit which agrees well with the exact calculation results. Additionally, we present the Wigner function for the system, shedding light on the breaking of the Z4-symmetry inherent in the model. These findings offer valuable insights into stabilization mechanisms in open quantum systems and pave the way for exploring complex nonlinear dynamics in two-photon Dicke models.
format Preprint
id arxiv_https___arxiv_org_abs_2412_14271
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dissipative Phase Transition in the Two-Photon Dicke Model
Shah, Aanal Jayesh
Kirton, Peter
Felicetti, Simone
Alaeian, Hadiseh
Quantum Physics
Quantum Gases
Atomic Physics
We explore the dissipative phase transition of the two-photon Dicke model, a topic that has garnered significant attention recently. Our analysis reveals that while single-photon loss does not stabilize the intrinsic instability in the model, the inclusion of two-photon loss restores stability, leading to the emergence of superradiant states which coexist with the normal vacuum states. Using a second-order cumulant expansion for the photons, we derive an analytical description of the system in the thermodynamic limit which agrees well with the exact calculation results. Additionally, we present the Wigner function for the system, shedding light on the breaking of the Z4-symmetry inherent in the model. These findings offer valuable insights into stabilization mechanisms in open quantum systems and pave the way for exploring complex nonlinear dynamics in two-photon Dicke models.
title Dissipative Phase Transition in the Two-Photon Dicke Model
topic Quantum Physics
Quantum Gases
Atomic Physics
url https://arxiv.org/abs/2412.14271