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Quantum simulator with the ability to harness the dynamics of complex quantum systems has emerged as a promising platform for probing exotic topological phases. Since the flexibility offered by various controllable quantum systems has…

Quantum Physics · Physics 2020-12-11 Bing Chen , Shuo Li , Xianfei Hou , Feifei Zhou , Peng Qian , Feng Mei , Suotang Jia , Nanyang Xu , Heng Shen

Dynamical quantum phase transitions (DQPTs) feature singular temporal behavior in transient quantum states during nonequilibrium real-time evolution. In this work we show that DQPTs in random Ising chains exhibit critical behavior with…

Statistical Mechanics · Physics 2021-10-04 Daniele Trapin , Jad C. Halimeh , Markus Heyl

We study transitions between distinct phases of one-dimensional periodically driven (Floquet) systems. We argue that these are generically controlled by infinite-randomness fixed points of a strong-disorder renormalization group procedure.…

Disordered Systems and Neural Networks · Physics 2018-09-25 William Berdanier , Michael Kolodrubetz , S. A. Parameswaran , Romain Vasseur

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

A driven quantum system has been recently studied in the context of nonequilibrium phase transitions and their responses. In particular, for a periodically driven system, its dynamics are described in terms of the multi-dimensional Floquet…

Strongly Correlated Electrons · Physics 2023-03-08 HaRu K. Park , Junmo Jeon , Gil Young Cho , SungBin Lee

Topological characteristics of quantum systems are typically determined by the closing of a gap, while the dynamical quantum phase transition (DQPT) during quantum real-time evolution has emerged as a nonequilibrium analog to the quantum…

Strongly Correlated Electrons · Physics 2024-11-26 Y. B. Shi , X. Z. Zhang , Z. Song

Clean and interacting periodically driven quantum systems are believed to exhibit a single, trivial "infinite-temperature" Floquet-ergodic phase. In contrast, here we show that their disordered Floquet many-body localized counterparts can…

Disordered Systems and Neural Networks · Physics 2016-08-23 Vedika Khemani , Achilleas Lazarides , Roderich Moessner , S. L. Sondhi

We study the dynamical quantum phase transitions (DQPTs) manifested in the subsequent unitary dynamics of an extended Ising model with additional three spin interactions following a sudden quench. Revisiting the equilibrium phase diagram of…

Statistical Mechanics · Physics 2018-04-24 Sourav Bhattacharjee , Amit Dutta

Much recent experimental effort has focused on the realization of exotic quantum states and dynamics predicted to occur in periodically driven systems. But how robust are the sought-after features, such as Floquet topological surface…

Quantum Gases · Physics 2019-01-16 Lukas M. Sieberer , Maria-Theresa Rieder , Mark H. Fischer , Ion C. Fulga

Non-Hermitian topological phases in static and periodically driven systems have attracted great attention in recent years. Finding dynamical probes for these exotic phases would be of great importance in the detection and application of…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Longwen Zhou

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

Periodically driven systems provide a powerful platform for quantum multiparameter estimation. Constructing a static effective Hamiltonian in a proper rotating frame is commonly employed to assess the attainable precision. However, such an…

Quantum Physics · Physics 2026-05-28 Yu Yang , Yuyang Tang , Pei Zhang , Fuli Li

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

We study operator dynamics in many-body quantum systems, focusing on generic features of systems that are ergodic, spatially extended, and lack conserved densities. Quantum circuits of various types provide simple models for such systems.…

Statistical Mechanics · Physics 2025-04-15 Takato Yoshimura , Samuel J. Garratt , J. T. Chalker

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

We study a periodically driven qubit coupled to a quantized cavity mode. Despite its apparent simplicity, this system supports a rich variety of exotic phenomena, such as topological frequency conversion as recently discovered in [Martin et…

Mesoscale and Nanoscale Physics · Physics 2021-01-07 Frederik Nathan , Gil Refael , Mark S. Rudner , Ivar Martin

Periodically driven quantum systems, known as Floquet systems, provide a versatile platform for engineering novel topological phases absent in static settings. However, dynamically characterizing these non-equilibrium topological invariants…

Quantum Physics · Physics 2026-05-08 Xin Shen , Bing Lu , Yan-Qing Zhu

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…

Quantum Physics · Physics 2025-06-18 Jie Chen , Ricardo Costa de Almeida , Hendrik Weimer

Dynamical quantum phase transitions (DQPTs) are topologically characterized in quantum quench dynamics in topological systems. In this paper, we study Loschmidt amplitudes and DQPTs in quantum quenches in mirror-symmetric topological…

Mesoscale and Nanoscale Physics · Physics 2021-10-26 Ryo Okugawa , Hiroki Oshiyama , Masayuki Ohzeki

Nonequilibrium dynamics is a paramount scenario for studying quantum systems. The emergence of new features with no equilibrium counterpart, such as dynamical quantum phase transition (DQPT), has attracted wide attention. In this work, we…

Quantum Physics · Physics 2022-08-17 Francisco J. González , Ariel Norambuena , Raúl Coto