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The Loschmidt amplitude of the purified states of mixed-state density matrices is shown to have zeros when the system undergoes a quasistatic, quench, or Uhlmann process. While the Loschmidt-amplitude zero of a quench process corresponds to…

量子物理 · 物理学 2020-09-24 Xu-Yang Hou , Qu-Cheng Gao , Hao Guo , Yan He , Tong Liu , Chih-Chun Chien

Dynamic quantum phase transitions (DQPT) following quantum quenches exhibit singular behavior of the overlap between the initial and evolved states. Here we present a formalism to incorporate a geometric phase into quench dynamics of mixed…

量子物理 · 物理学 2025-03-12 Jia-Chen Tang , Xu-Yang Hou , Zheng Zhou , Hao Guo , Chih-Chun Chien

Dynamical quantum phase transitions (DQPTs), which refer to the criticality in time of a quantum many-body system, have attracted much theoretical and experimental research interest recently. Despite DQPTs are defined and signalled by the…

强关联电子 · 物理学 2021-08-11 Wing Chi Yu , P. D. Sacramento , Yan Chao Li , Hai-Qing Lin

Dynamical phase transitions (DPT) occur after quenching some global parameters in quantum systems and are signalled by the non-analytical time evolution of the dynamical free energy, which is calculated from the Loschmidt overlap between…

强关联电子 · 物理学 2014-04-23 Szabolcs Vajna , Balázs Dóra

As recently manifested , the quench dynamics of isolated quantum systems consisting of a finite number of particles, is characterized by an exponential spreading of wave packets in the many-body Hilbert space. This happens when the…

混沌动力学 · 物理学 2020-03-23 Samy Mailoud , Fausto Borgonovi , Felix Izrailev

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…

统计力学 · 物理学 2019-10-30 Vatshal Srivastav , Utso Bhattacharya , Amit Dutta

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

统计力学 · 物理学 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

We investigate the nonequilibrium quench dynamics of the one-dimensional transverse-field Ising model in both integrable and nonintegrable regimes. In particular, we report on a novel type of dynamical quantum phase transition (DQPT) that…

量子物理 · 物理学 2025-06-18 Jie Chen , Ricardo Costa de Almeida , Hendrik Weimer

Dynamical quantum phase transitions (DQPTs) extend the concept of phase transitions and thus universality to the non-equilibrium regime. In this letter, we investigate DQPTs in a string of ions simulating interacting transverse-field Ising…

量子物理 · 物理学 2017-08-30 P. Jurcevic , H. Shen , P. Hauke , C. Maier , T. Brydges , C. Hempel , B. P. Lanyon , M. Heyl , R. Blatt , C. F. Roos

The dynamical quantum phase transitions (DQPTs) in quantum spin chains with gapless phases after a sudden quench are studied. We mainly consider the general systems with asymmetrical quasiparticle excitation spectra and obtain the general…

统计力学 · 物理学 2021-06-02 Kaiyuan Cao , Zhong Ming , Peiqing Tong

We propose a new computational method of the Loschmidt amplitude in a generic spin system on the basis of the complex semiclassical analysis on the spin-coherent state path integral. We demonstrate how the dynamical transitions emerge in…

统计力学 · 物理学 2017-06-01 Tomoyuki Obuchi , Sei Suzuki , Kazutaka Takahashi

We investigate the dynamics following sudden quenches across quantum critical points belonging to different universality classes. Specifically, we use matrix product state methods to study the quantum Ising chain in the presence of two…

强关联电子 · 物理学 2013-05-07 C. Karrasch , D. Schuricht

We study the slow quenching dynamics (characterized by an inverse rate, $\tau^{-1}$) of a one-dimensional transverse Ising chain with nearest neighbor ferromagentic interactions across the quantum critical point (QCP) and analyze the…

统计力学 · 物理学 2016-06-08 Shraddha Sharma , Uma Divakaran , Anatoli Polkovnikov , Amit Dutta

Quantum critical states exhibit strong quantum fluctuations and are therefore highly susceptible to perturbations. In this work we study the dynamical stability against a sudden coupling to these strong fluctuations by quenching the order…

统计力学 · 物理学 2017-02-21 Markus Heyl

We introduce a class of intrinsic symmetry-protected topological mixed-state(mSPT) in open quantum systems that feature modulated symmetries, such as dipole and subsystem symmetries. Intriguingly, these mSPT phases cannot be realized as the…

量子物理 · 物理学 2024-07-15 Yizhi You , Masaki Oshikawa

We investigate the Lipkin-Meshkov-Glick model coupled to a thermal bath. Since the isolated model itself exhibits a quantum phase transition, we explore the critical signatures of the open system. Starting from a system-reservoir…

量子物理 · 物理学 2020-01-22 Wassilij Kopylov , Gernot Schaller

The thermodynamical properties of a generalized Dicke model are calculated and related with the critical properties of its energy spectrum, namely the quantum phase transitions (QPT) and excited state quantum phase transitions (ESQPT). The…

We investigate the monitored dynamics of many-body quantum systems in which projective measurements of extensive operators are alternated with unitary evolution. Focusing on mean-field models characterized by all-to-all interactions, we…

统计力学 · 物理学 2025-12-05 Luca Capizzi , Riccardo Travaglino

The analogy between an equilibrium partition function and the return probability in many-body unitary dynamics has led to the concept of dynamical quantum phase transition (DQPT). DQPTs are defined by non-analyticities in the return…

量子物理 · 物理学 2021-02-02 Stefano De Nicola , Alexios A. Michailidis , Maksym Serbyn

We introduce the notion of a dynamical topological order parameter (DTOP) that characterises dynamical quantum phase transitions (DQPTs) occurring in the subsequent temporal evolution of "two dimensional" closed quantum systems, following a…

统计力学 · 物理学 2017-07-19 Utso Bhattacharya , Amit Dutta