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We study the mode dynamics of a generic quadratic fermionic Hamiltonian under a sudden quench protocol in momentum space. Modes with zero energy at any given time, $t$, are referred to as dynamical critical modes. Among all zero-energy…

Statistical Mechanics · Physics 2026-03-06 Akash Mitra , Shashi C. L. Srivastava

Dynamical quantum phase transitions (DQPTs) have been established as a rigorous framework for investigating far-from-equilibrium quantum many-body criticality. Although initially thought to be trivially connected to an order parameter…

Quantum Gases · Physics 2024-07-08 Jesse J. Osborne , Johannes Knaute , Ian P. McCulloch , Jad C. Halimeh

Measurement-induced phase transition (MIPT) describes the nonanalytical change of the entanglement entropy resulting from the interplay between measurement and unitary evolution. In this paper, we investigate the relaxation critical…

Quantum Physics · Physics 2026-01-27 Wantao Wang , Shuo Liu , Jiaqiang Li , Shi-Xin Zhang , Shuai Yin

In recent years, dynamical quantum phase transitions (DQPTs) have emerged as a useful theoretical concept to characterize nonequilibrium states of quantum matter. DQPTs are marked by singular behavior in an \textit{effective free energy}…

Quantum Gases · Physics 2021-09-17 Jad C. Halimeh , Daniele Trapin , Maarten Van Damme , Markus Heyl

Confinement is an intriguing phenomenon prevalent in condensed matter and high-energy physics. Exploring its effect on the far-from-equilibrium criticality of quantum many-body systems is of great interest both from a fundamental and…

Quantum Gases · Physics 2025-10-20 Jesse Osborne , Ian P. McCulloch , Jad C. Halimeh

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 consider the Rabi Hamiltonian which exhibits a quantum phase transition (QPT) despite consisting only of a single-mode cavity field and a two-level atom. We prove QPT by deriving an exact solution in the limit where the atomic transition…

Quantum Physics · Physics 2015-10-30 Myung-Joong Hwang , Ricardo Puebla , Martin B. Plenio

Unifying equilibrium criticality and dynamical quantum phase transitions (DQPTs) under complex driving fields remains a profound challenge. Here, we decode this connection in the 2D strongly interacting Wen-plaquette model. By mapping its…

Strongly Correlated Electrons · Physics 2026-04-08 Xiao-Ming Zhao , Cui-Xian Guo , Gaoyong Sun , Su-Peng Kou

Motivated by the advance of dynamical quantum phase transitions (DQPTs), we analyze the zeros of the complex-time survival (Loschmidt) amplitude in finite quantum systems and develop a general framework for their approximation based on the…

Quantum Physics · Physics 2026-05-11 Jakub Novotný , Jan Střeleček , Pavel Stránský , Pavel Cejnar

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…

Statistical Mechanics · Physics 2007-05-23 G. Korniss , P. A. Rikvold , M. A. Novotny

Two-mode quantized electromagnetic fields can be entangled and admit a large number of coherent states. In this paper, we consider a two-mode system that consists of a two-level atom interacting with a two-mode quantized electromagnetic…

Materials Science · Physics 2007-05-23 Rui-Hua Xie , Qin Rao

The past two decades have witnessed a surge of interest in borrowing tools from quantum information theory to investigate quantum phase transitions (QPTs). The best known examples are entanglement measures whose nonanalyticities at critical…

Quantum Physics · Physics 2021-07-22 Ming-Ming Du , Da-Jian Zhang , Zhao-Yi Zhou , D. M. Tong

We explore the possibility of dynamical quantum phase transitions (DQPTs) occurring during the temporal evolution of a quenched transverse field Ising chain coupled to a particle loss type of bath (local in Jordan-Wigner fermion space)…

Statistical Mechanics · Physics 2018-08-13 Souvik Bandyopadhyay , Sudarshana Laha , Utso Bhattacharya , Amit Dutta

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

The thermodynamics of quantum phase transitions has long been a rich area of research, providing numerous insights and enhancing our understanding of this important phenomenon. This theoretical framework has been well-developed specially…

Quantum Physics · Physics 2024-12-05 Andesson B. Nascimento , Lucas C. Céleri

Dynamical phase transitions (DPTs), characterized by non-analytic behaviors in time domain, extend the equilibrium phase transitions to far-from-equilibrium situations. It has been predicted that DPTs can be precisely identified by the…

Quantum Physics · Physics 2019-07-30 Tian Tian , Yongguan Ke , Liang Zhang , Shaochun Lin , Zhifu Shi , Pu Huang , Chaohong Lee , Jiangfeng Du

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

Quantisation with Gaussian type states offers certain advantages over other quantisation schemes, in particular, they can serve to regularise formally discontinuous classical functions leading to well defined quantum operators. In this work…

Quantum Physics · Physics 2022-05-25 Jean-Pierre Gazeau , Véronique Hussin , James Moran , Kevin Zelaya

Studying quantum properties in solid-state systems is a significant avenue for research. In this scenario, double quantum dots (DQDs) appear as a versatile platform for technological breakthroughs in quantum computation and nanotechnology.…

Quantum Physics · Physics 2023-02-07 Zakaria Dahbi , Maron F. Anka , Mostafa Mansour , Moises Rojas , Clebson Cruz

First order quantum phase transitions (1QPTs) are signaled, in the thermodynamic limit, by discontinuous changes in the ground state properties. These discontinuities affect expectation values of observables, including spatial correlations.…

Quantum Physics · Physics 2018-07-12 A. Yuste , C. Cartwright , G. De Chiara , A. Sanpera