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The dynamical quantum phase transition (DQPT) is an important concept in nonequilibrium critical phenomena; however, its relation to the equilibrium quantum phase transition (EQPT) remains obscure. Substantial evidence has suggested that…

Quantum Physics · Physics 2025-08-15 Yumeng Zeng , Shu Chen

Dynamical quantum phase transitions (DQPTs) occur at times when a quantum state exhibits a nonanalytic change in its return probability. This can be viewed as the probability of collapsing the evolved state to the initial state by quantum…

Quantum Physics · Physics 2026-05-18 Guan-Hua Chen , Guo-Yi Zhu

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

We use the quantum Fisher information (QFI) to diagnose a dynamical phase transition (DPT) in a closed quantum system, which is usually defined in terms of non-analytic behaviour of a time-averaged order parameter. Employing the…

Quantum Physics · Physics 2021-09-08 Qingze Guan , Robert J. Lewis-Swan

We show that dynamic quantum phase transitions (DQPT) in many situations involve renormalization group (RG) fixed points that are unphysical in the context of thermal phase transitions. In such cases, boundary conditions are shown to become…

Statistical Mechanics · Physics 2019-10-22 Amina Khatun , Somendra M. Bhattacharjee

A dynamical quantum phase transition can occur during time evolution of sudden quenched quantum systems across a phase transition. It corresponds to the nonanalytic behavior at a critical time of the rate function of the quantum state…

Quantum Physics · Physics 2019-05-14 Xue-Yi Guo , Chao Yang , Yu Zeng , Yi Peng , He-Kang Li , Hui Deng , Yi-Rong Jin , Shu Chen , Dongning Zheng , Heng Fan

We investigate quantum quenches and the Loschmidt echo in the two dimensional, three band $\alpha-T_3$ model, a close descendant of the dice lattice. By adding a chemical potential to the central site, the integral of the Berry curvature of…

Quantum Gases · Physics 2020-05-27 Balázs Gulácsi , Markus Heyl , Balázs Dóra

This work is concerned with the excited state quantum phase transitions (ESQPTs) defined in Ann.Phys. 323, 1106 (2008). In many-body models that exhibit such transitions, the ground state quantum phase transition (QPT) occurs in parallel…

Statistical Mechanics · Physics 2018-01-08 Francisco Pérez-Bernal , Lea F. Santos

Quantum phase transitions play an important role in many-body systems and have been a research focus in conventional condensed matter physics over the past few decades. Artificial atoms, such as superconducting qubits that can be…

Quantum Physics · Physics 2015-05-26 M. Feng , Y. P. Zhong , T. Liu , L. L. Yan , W. L. Yang , J. Twamley , H. Wang

Deconfined quantum critical points (DQCPs) have been proposed as a class of continuous quantum phase transitions occurring between two ordered phases with distinct symmetry-breaking patterns, beyond the conventional framework of…

Strongly Correlated Electrons · Physics 2025-04-23 Yi Cui , Rong Yu , Weiqiang Yu

Non-analyticities in the logarithm of the Loschmidt echo, known as dynamical quantum phase transitions [DQPTs], are a recently introduced attempt to classify the myriad of possible phenomena which can occur in far from equilibrium closed…

Quantum Gases · Physics 2022-12-15 Colin Rylands , Emil A. Yuzbashyan , Victor Gurarie , Aidan Zabalo , Victor Galitski

Non-equilibrium quantum many-body systems, which are difficult to study via classical computation, have attracted wide interest. Quantum simulation can provide insights into these problems. Here, using a programmable quantum simulator with…

We show that dynamical quantum phase transitions (DQPTs) in the quench dynamics of two-dimensional topological systems can be characterized by a dynamical topological invariant defined along an appropriately chosen closed contour in…

Quantum Gases · Physics 2018-08-29 Xingze Qiu , Tian-Shu Deng , Guang-Can Guo , Wei Yi

The nonequilibrium dynamics of a periodically driven extended XY model, in the presence of linear time dependent magnetic filed, is investigated using the notion of dynamical quantum phase transitions (DQPTs). Along the similar lines to the…

Statistical Mechanics · Physics 2024-05-27 Sara Zamani , J. Naji , R. Jafari , A. Langari

Deconfined quantum phase transition (DQPT) provides an extraordinary possibility of the quantum phase transition beyond the Ginzburg-Landau paradigm, which is interwoven with numerous exotic phenomena of the strongly correlated quantum…

Strongly Correlated Electrons · Physics 2024-04-18 Dong-Xu Liu , Zijian Xiong , Yining Xu , Xue-Feng Zhang

We investigate the nonequilibrium dynamics induced by a finite-time linear quench in the XY chain. Initially, we examine the dynamical quantum phase transition, characterized by the nonanalytic behavior of the Loschmidt amplitude. We find…

Statistical Mechanics · Physics 2024-11-19 Kaiyuan Cao , Peiqing Tong

We find that the first-order quantum phase transitions~(QPTs) are characterized by intrinsic jumps of relevant operators while the continuous ones are not. Based on such an observation, we propose a bond reversal method where a quantity…

Strongly Correlated Electrons · Physics 2019-10-02 Qiang Luo , Jize Zhao , Xiaoqun Wang

We consider sudden quenches across quantum phase transitions in the $S=1$ XXZ model starting from the Haldane phase. We demonstrate that dynamical phase transitions may occur during these quenches that are identified by nonanalyticities in…

Statistical Mechanics · Physics 2019-07-02 I. Hagymási , C. Hubig , Ö. Legeza , U. Schollwöck

We establish an intriguing connection between quantum phase transitions and bifurcations in the reduced fidelity between two different reduced density matrices for quantum lattice many-body systems with symmetry-breaking orders. Our finding…

Strongly Correlated Electrons · Physics 2009-05-20 Jin-Hua Liu , Qian-Qian Shi , Jian-Hui Zhao , Huan-Qiang Zhou

The notion of a dynamical quantum phase transition (DQPT) was recently introduced in [Heyl et al., Phys. Rev. Lett. 110, 135704 (2013)] as the non-analytic behavior of the Loschmidt echo at critical times in the thermodynamic limit. In this…

Statistical Mechanics · Physics 2015-09-04 Markus Schmitt , Stefan Kehrein