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We investigate and characterize the emergence of finite-component dissipative phase transitions (DPTs) in nonlinear photon resonators subject to $n$-photon driving and dissipation. Exploiting a semiclassical approach, we derive general…

量子物理 · 物理学 2023-11-08 Fabrizio Minganti , Vincenzo Savona , Alberto Biella

Dissipative phase transitions (DPT) are defined by sudden changes in the physical properties of nonequilibrium open quantum systems and they present characteristics that have no analog in closed and thermal systems. Several methods to…

量子物理 · 物理学 2025-08-08 Masataka Matsumoto , Zi Cai , Matteo Baggioli

We study a dissipative Kerr-resonator subject to both single- and two-photon detuned drives. Beyond a critical detuning threshold, the Kerr resonator exhibits a semiclassical first-order dissipative phase transition between two different…

量子物理 · 物理学 2019-10-30 Toni L. Heugel , Matteo Biondi , Oded Zilberberg , R. Chitra

It has been well established that spatially extended, bistable systems that are driven by an oscillating field exhibit a nonequilibrium dynamic phase transition (DPT). The DPT occurs when the field frequency is on the order of the inverse…

统计力学 · 物理学 2007-05-23 G. Korniss , P. A. Rikvold , M. A. Novotny

Dissipative phase transitions (DPTs) are traditionally characterized through the spectral properties of a time-independent Liouvillian superoperator. However, this definition cannot be applied to time-periodic (Floquet) systems that cannot…

量子物理 · 物理学 2026-03-16 Alberto Mercurio , Vincenzo Macrì , Filippo Ferrari , Lorenzo Fioroni , Vincenzo Savona

Dynamical phase transitions (DPTs) in the space of trajectories are one of the most intriguing phenomena of nonequilibrium physics, but their nature in realistic high-dimensional systems remains puzzling. Here we observe for the first time…

统计力学 · 物理学 2017-09-07 N. Tizón-Escamilla , C. Pérez-Espigares , P. L. Garrido , P. I. Hurtado

A state of an open quantum system is described by a density matrix, whose dynamics is governed by a Liouvillian superoperator. Within a general framework, we explore fundamental properties of both first-order dissipative phase transitions…

量子物理 · 物理学 2018-10-19 Fabrizio Minganti , Alberto Biella , Nicola Bartolo , Cristiano Ciuti

We present a theory for the two kinds of dynamical quantum phase transitions, termed DPT-I and DPT-II, based on a minimal set of symmetry assumptions. In the special case of collective systems with infinite-range interactions, both are…

统计力学 · 物理学 2023-03-10 Ángel L. Corps , Armando Relaño

Non-equilibrium phase transitions exist in damped-driven open quantum systems, when the continuous tuning of an external parameter leads to a transition between two robust steady states. In second-order transitions this change is abrupt at…

量子物理 · 物理学 2017-02-02 J. M. Fink , A. Dombi , A. Vukics , A. Wallraff , P. Domokos

The Dicke model is a paradigmatic quantum-optical model describing the interaction of a collection of two-level systems with a single bosonic mode. Effective implementations of this model made it possible to observe the emergence of…

We consider two different collective spin systems subjected to strong dissipation -- on the same scale as interaction strengths and external fields -- and show that either continuous or discontinuous dissipative quantum phase transitions…

量子物理 · 物理学 2008-09-23 S. Morrison , A. S. Parkins

By example of the nonlinear Kerr-mode driven by a laser, we show that hysteresis phenomena in systems featuring a driven-dissipative phase transition (DPT) can be accurately described in terms of just two collective, dissipative Liouvillian…

量子物理 · 物理学 2019-09-17 Dmitry O. Krimer , Mikhail Pletyukhov

We theoretically investigate the superradiant phase transition (SPT) in the two-photon Dicke-Stark model, which incorporates both Rabi and Stark coupling. By introducing a Stark coupling term, we significantly reduce the critical Rabi…

量子物理 · 物理学 2025-08-12 Cui-Lu Zhai , Wei Wu , Chun-Wang Wu , Ping-Xing Chen

Dynamical phase transitions (DPTs) are signaled by the non-analytical time evolution of the dynamical free energy after quenching some global parameters in quantum systems. The dynamical free energy is calculated from the overlap between…

统计力学 · 物理学 2019-03-04 R. Jafari

We study a minimal model that has a driven-dissipative quantum phase transition, namely a Kerr non-linear oscillator subject to driving and dissipation. Using mean-field theory, exact diagonalization, and the Keldysh formalism, we analyze…

量子物理 · 物理学 2021-03-26 Xin H. H. Zhang , Harold U. Baranger

We theoretically investigate the critical properties of a single driven-dissipative nonlinear photon mode. In a well-defined thermodynamical limit of large excitation numbers, the exact quantum solution describes a first-order phase…

量子物理 · 物理学 2017-01-24 Wim Casteels , Rosario Fazio , Cristiano Ciuti

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…

量子物理 · 物理学 2024-12-20 Aanal Jayesh Shah , Peter Kirton , Simone Felicetti , Hadiseh Alaeian

We analytically investigate the switching rate in a two-photon driven Kerr oscillator with finite detuning and two-photon dissipation. This system exhibits quantum bistability and supports a logical manifold for a bosonic qubit. Using…

量子物理 · 物理学 2025-11-18 V. Yu. Mylnikov , S. O. Potashin , M. S. Ukhtary , G. S. Sokolovskii

Dissipative solitons are self-localised structures that can persist indefinitely in "open" systems characterised by continual exchange of energy and/or matter with the environment. They play a key role in photonics, underpinning…

Percolation is a paradigmatic model in disordered systems and has been applied to various natural phenomena. The percolation transition is known as one of the most robust continuous transitions. However, recent extensive studies have…

统计力学 · 物理学 2015-07-13 Y. S. Cho , B. Kahng
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