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We establish a unified framework for dynamical quantum phase transitions (DQPTs) in non-Hermitian systems that encompasses both biorthogonal and self-norm non-biorthogonal formulations for pure and mixed states under quantum quench…

Quantum Physics · Physics 2025-10-27 Yongxu Fu , Gao Xianlong

It is shown that dynamical quantum phase transitions observed as singularities in the Loschmidt rate singularities bear close resemblance to standard Rabi oscillations known from dynamics of two-level systems. For some many-body systems…

Quantum Physics · Physics 2023-06-14 Jakub Zakrzewski

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 study quenching dynamics of a one-dimensional transverse Ising chain with nearest neighbor antiferromagentic interactions in the presence of a longitudinal field which renders the model non-integrable. The dynamics of the spin chain is…

Statistical Mechanics · Physics 2015-10-07 Shraddha Sharma , Sei Suzuki , Amit Dutta

We study exact zeros of Loschmidt echo and quantum speed limit time for dynamical quantum phase transition in finite size systems. Our results illustrate that exact zeros of Loschmidt echo exist even in finite size quantum systems when the…

Quantum Physics · Physics 2021-09-30 Bozhen Zhou , Yumeng Zeng , Shu Chen

Dynamical phase transitions can occur in isolated quantum systems that are brought out of equilibrium by sudden parameter changes. We discuss the characterization of such dynamical phase transitions based on the statistics of produced…

Statistical Mechanics · Physics 2015-06-03 Pietro Smacchia , Michael Knap , Eugene Demler , Alessandro Silva

Discrete time crystals are related to non-equilibrium dynamics of periodically driven quantum many-body systems where the discrete time translation symmetry of the Hamiltonian is spontaneously broken into another discrete symmetry.…

Quantum Gases · Physics 2018-05-31 Arkadiusz Kosior , Krzysztof Sacha

The Loschmidt echo, defined as the overlap between quantum wave function evolved with different Hamiltonians, quantifies the sensitivity of quantum dynamics to perturbations and is often used as a probe of quantum chaos. In this work we…

Disordered Systems and Neural Networks · Physics 2017-07-14 Maksym Serbyn , Dmitry A. Abanin

In this article we demonstrate that dynamical quantum phase transitions occur for an exemplary higher order topological insulator, the Benalcazar-Bernevig-Hughes model, following quenches across a topological phase boundary. A dynamical…

Mesoscale and Nanoscale Physics · Physics 2024-02-05 Tomasz Masłowski , Nicholas Sedlmayr

We study the dynamical quantum phase transition(DQPT) of the Bose-Hubbard model utilizing recently developed Loschmidt cumulants method. We determine the complex Loschmidt zeros of the Loschmidt amplitude analogous to the Lee-Yang zeros of…

Quantum Gases · Physics 2023-08-04 Pengju Zhao , Jingxin Sun , Shengjie Jin , Zhongshu Hu , Dingping Li , Xiong-Jun Liu , Xuzong Chen

We study equilibrium as well as dynamical properties of the finite-size fully connected Ising model with a transverse field at the zero temperature. In relation to the equilibrium, we present approximate ground and first excited states that…

Statistical Mechanics · Physics 2021-08-06 Arun Sehrawat , Chirag Srivastava , Ujjwal Sen

The coherent quantum evolution of a one-dimensional many-particle system after sweeping the Hamiltonian through a critical point is studied using a generalized quantum Ising model containing both integrable and non-integrable regimes. It is…

Strongly Correlated Electrons · Physics 2015-05-13 Frank Pollmann , Subroto Mukerjee , Andrew G. Green , Joel E. Moore

We uncover a novel dynamical quantum phase transition, using random matrix theory and its associated notion of planar limit. We study it for the isotropic XY Heisenberg spin chain. For this, we probe its real-time dynamics through the…

Quantum Physics · Physics 2024-03-04 David Pérez-García , Leonardo Santilli , Miguel Tierz

We study the nonequilibrium dynamics of the extended toric code model (both ordered and disordered) to probe the existence of the dynamical quantum phase transitions (DQPTs). We show that in the case of the ordered toric code model, the…

Statistical Mechanics · Physics 2019-10-30 Vatshal Srivastav , Utso Bhattacharya , Amit Dutta

Relaxation of quantum systems is a central problem in nonequilibrium physics. In contrast to classical systems, the underlying quantum dynamics results not only from atomic interactions but also from the long-range coherence of the…

Quantum Gases · Physics 2022-01-06 Benjamin Nagler , Sian Barbosa , Jennifer Koch , Giuliano Orso , Artur Widera

The nonequilibrium ultracold bosonic quantum dynamics in finite optical lattices of unit filling following a linear interaction quench from a superfluid to a Mott insulator state and vice versa is investigated. The resulting dynamical…

Quantum Physics · Physics 2018-06-05 S. I. Mistakidis , G. M. Koutentakis , P. Schmelcher

A sudden quantum quench of a Bloch band from one topological phase toward another has been shown to exhibit an intimate connection with the notion of a dynamical quantum phase transition (DQPT), where the returning probability of the…

Statistical Mechanics · Physics 2016-08-17 Zhoushen Huang , Alexander V. Balatsky

We investigate time evolution of prepared vibrational state (system) coupled to a reservoir with dense spectrum of its vibrational states. We assume that the reservoir has an equidistant spectrum, and the system - reservoir coupling matrix…

Statistical Mechanics · Physics 2009-11-13 V. A. Benderskii , L. A. Falkovsky , E. I. Kats

Extending notions of phase transitions to nonequilibrium realm is a fundamental problem for statistical mechanics. While it was discovered that critical transitions occur even for transient states before relaxation as the singularity of a…

Statistical Mechanics · Physics 2021-09-02 Ryusuke Hamazaki

We study the off-equilibrium dynamics of the infinite dimensional Bose Hubbard Model after a quantum quench. The dynamics can be analyzed exactly by mapping it to an effective Newtonian evolution. For integer filling, we find a dynamical…

Quantum Gases · Physics 2010-12-17 Bruno Sciolla , Giulio Biroli
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