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We illustrate how dynamical transitions in nonlinear semiclassical models can be recognized as phase transitions in the corresponding -- inherently linear -- quantum model, where, in a Statistical Mechanics framework, the thermodynamic…

Statistical Mechanics · Physics 2011-12-05 Pierfrancesco Buonsante , Vittorio Penna , Alessandro Vezzani

By utilizing biorthogonal bases, we develop a comprehensive framework for studying biorthogonal dynamical quantum phase transitions in non-Hermitian systems. With the help of the previously overlooked associated state, we define the…

Quantum Physics · Physics 2024-06-03 Yecheng Jing , Jian-Jun Dong , Yu-Yu Zhang , Zi-Xiang Hu

Understanding phase transitions in quantum matters constitutes a significant part of present day condensed matter physics. Quantum phase transitions concern ground state properties of many-body systems, and hence their signatures are…

Statistical Mechanics · Physics 2015-12-15 Sirshendu Bhattacharyya , Subinay Dasgupta , Arnab Das

In this work, we establish a general theory of phase transitions and quantum entanglement in the equilibrium state at arbitrary temperatures. First, we derived a set of universal functional relations between the matrix elements of two-body…

Quantum Physics · Physics 2018-05-07 Bo-Bo Wei

The existence and search for thermodynamic phase transitions is of unfading interest. In this paper, we present numerical evidence of dynamical phase transitions occurring in boundary driven systems with a constrained integrated current. It…

Statistical Mechanics · Physics 2017-03-29 Ohad Shpielberg , Yaroslav Don , Eric Akkermans

Classical and quantum phase transitions involve observables which are non-analytic as functions of a controlled thermodynamical variable. As occurs with the self-consistent Fermi Golden Rule, one condition to obtain the discontinuous…

Other Condensed Matter · Physics 2009-11-13 Horacio M. Pastawski

The out-of-time-ordered correlators (OTOC) have been established as a fundamental concept for quantifying quantum information scrambling and diagnosing quantum chaotic behavior. Recently, it was theoretically proposed that the OTOC can be…

Quantum Physics · Physics 2020-07-01 Xinfang Nie , Bo-Bo Wei , Xi Chen , Ze Zhang , Xiuzhu Zhao , Chudan Qiu , Yu Tian , Yunlan Ji , Tao Xin , Dawei Lu , Jun Li

Dynamical quantum phase transitions (DQPTs) are temporal singularities marked by zeros of the Loschmidt echo, yet their underlying quantum-information structure remains elusive. Here, we introduce a momentum-resolved entanglement entropy as…

Quantum Physics · Physics 2026-01-21 Kaiyuan Cao , Mingzhi Li , Xiang-Ping Jiang , Shu Chen , Jian Wang

We present a comprehensive phase-space analysis of a quadratic dark energy model where the pressure includes a nonlinear term proportional to the square of the energy density. This minimal extension beyond the $\Lambda$CDM framework…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-19 Sahar Mohammadi , Ebrahim Yusofi , Kosar Asadi

We systematically analyze the various phase transitions of the anisotropic Dicke model that is endowed with both rotating and counter-rotating light-matter couplings. In addition to the ground state quantum phase transition (QPT) from the…

Quantum Physics · Physics 2023-04-25 Pragna Das , Devendra Singh Bhakuni , Auditya Sharma

We study the dynamical phase transitions (DPTs) appearing for a single Brownian particle without drift. We first explore how first-order DPTs in large deviations can be found even for a single Brownian particle without any force upon…

Statistical Mechanics · Physics 2024-07-22 Takahiro Kanazawa , Kyogo Kawaguchi , Kyosuke Adachi

We discuss dynamical response theory of driven-dissipative quantum systems described by Markovian Master Equations generating semi-groups of maps. In this setting thermal equilibrium states are replaced by non-equilibrium steady states and…

Quantum Physics · Physics 2016-03-09 Lorenzo Campos Venuti , Paolo Zanardi

For all of the interest in dynamical phase transitions (DPT), it is still not clear the meaning or prevalence of these features in higher dimensional models. In this paper, we consider DPTs for stabilizer code models and quantum quenches…

Statistical Mechanics · Physics 2020-04-14 Albert T. Schmitz

We investigate dynamical quantum phase transitions (DQPTs) in both pure and mixed states within the extended SSH model framework, focusing on the SSH-3 and SSH-4 variants, which differ in symmetry properties. The SSH-3 model, characterized…

Quantum Physics · Physics 2025-10-21 Kaiyuan Cao , Tianren Zhang , Xiangping Jiang , Jian Wang

We inspect signatures of dynamical quantum phase transitions driven by two types of quenches acting on a correlated quantum dot embedded between superconducting and metallic reservoirs. Under stationary conditions the proximity induced…

Mesoscale and Nanoscale Physics · Physics 2022-03-29 Kacper Wrześniewski , Ireneusz Weymann , Nicholas Sedlmayr , Tadeusz Domański

We consider dynamics of Dicke models, with and without counterrotating terms, under slow variations of parameters which drive the system through a quantum phase transition. The model without counterrotating terms and sweeped detuning is…

Statistical Mechanics · Physics 2010-09-10 A. P. Itin , P. Törmä

The main objective of this article are two-fold. First, we introduce some general principles on phase transition dynamics, including a new dynamic transition classification scheme, and a Ginzburg-Landau theory for modeling equilibrium phase…

Mathematical Physics · Physics 2009-03-12 Tian Ma , Shouhong Wang

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…

Statistical Mechanics · Physics 2017-09-07 N. Tizón-Escamilla , C. Pérez-Espigares , P. L. Garrido , P. I. Hurtado

We report a kind of quantum phase transition which takes place in isolated quantum systems with non-thermal equilibrium states and an extra symmetry that commutes with the Hamiltonian for any values of the system parameters. A critical…

Quantum Physics · Physics 2022-02-08 Ricardo Puebla , Armando Relaño

Diffusion limited reaction of the Lotka-Volterra type is analyzed taking into account the discrete nature of the reactants. In the continuum approximation, the dynamics is dominated by an elliptic fixed-point. This fixed-point becomes…

Condensed Matter · Physics 2016-08-31 Eldad Bettelheim , Oded Agam , Nadav M. Shnerb
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