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We study the dynamics of edge states of the two dimensional BHZ Hamiltonian in a ribbon geometry following a sudden quench to the quantum critical point separating the topological insulator phase from the trivial insulator phase. The…

Mesoscale and Nanoscale Physics · Physics 2013-09-05 Aavishkar A. Patel , Shraddha Sharma , Amit Dutta

We study the structure of the eigenstates and the dynamics of a system that undergoes an excited state quantum phase transition (ESQPT). The analysis is performed for two-level pairing models characterized by a U(n+1) algebraic structure.…

Statistical Mechanics · Physics 2015-12-02 Lea F. Santos , Francisco Pérez-Bernal

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

Dynamical quantum phase transitions are closely related to equilibrium quantum phase transitions for ground states. Here, we report an experimental observation of a dynamical quantum phase transition in a spinor condensate with…

Quantum Gases · Physics 2020-02-20 T. Tian , H. -X. Yang , L. -Y. Qiu , H. -Y. Liang , Y. -B. Yang , Y. Xu , L. -M. Duan

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…

Quantum Physics · Physics 2020-09-24 Xu-Yang Hou , Qu-Cheng Gao , Hao Guo , Yan He , Tong Liu , Chih-Chun Chien

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

We unveil the role of the long time average of Loschmidt echo in the characterization of nonequilibrium quantum phase transitions by studying sudden quench processes across quantum phase transitions in various quantum systems. While the…

Quantum Physics · Physics 2022-11-08 Bozhen Zhou , Chao Yang , Shu Chen

We study the quench dynamics in a $Z_3$ symmetric chiral clock model (CCM). The results reveal that chiral phases can lead to the emergence of dynamical quantum phase transition (DQPT). By analyzing Lee-Yang-Fisher zeros' distribution in…

Statistical Mechanics · Physics 2026-04-15 Ling-Feng Yu , Wei-Lin Li , Xue-Jia Yu , Zhi Li

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

We investigate the interplay of superradiant phase transition (SPT) and energy band physics in an extended Dicke-Hubbard lattice whose unit cell consists of a Dicke model coupled to an atomless cavity. We found in such a periodic lattice…

Quantum Physics · Physics 2020-09-30 Gui-Lei Zhu , Hamidreza Ramezani , Clive Emary , Jin-Hua Gao , Ying Wu , Xin-You Lü

We study the quench dynamics of a one-dimensional ultracold Fermi gas in an optical lattice potential with synthetic spin-orbit coupling. At equilibrium, the ground state of the system can undergo a topological phase transition and become a…

Quantum Gases · Physics 2015-01-20 Pei Wang , Wei Yi , Gao Xianlong

Quantum phase transitions encompass a variety of phenomena that occur in quantum systems exhibiting several possible symmetries. Traditionally, these transitions are explored by continuously varying a control parameter that connects two…

Quantum Physics · Physics 2024-06-12 Á. Sáiz , J. Khalouf-Rivera , J. M. Arias , P. Pérez-Fernández , J. Casado-Pascual

Discontinuous quantum phase transitions and the associated metastability play central roles in diverse areas of physics ranging from ferromagnetism to false vacuum decay in the early universe. Using strongly-interacting ultracold atoms in…

Quantum Gases · Physics 2022-04-26 Bo Song , Shovan Dutta , Shaurya Bhave , Jr-Chiun Yu , Edward Carter , Nigel Cooper , Ulrich Schneider

We unveil the stable $(d+1)$-dimensional topological structures underlying the quench dynamics for all the Altland-Zirnbauer classes in $d=1$ dimension, and propose to detect such dynamical topology from the time evolution of entanglement…

Statistical Mechanics · Physics 2018-12-20 Zongping Gong , Masahito Ueda

The topology of a single-particle band structure plays a fundamental role in understanding a multitude of physical phenomena. Motivated by the connection between quantum walks and such topological band structures, we demonstrate that a…

Quantum Physics · Physics 2017-04-05 Vinay V. Ramasesh , Emmanuel Flurin , Mark S. Rudner , Irfan Siddiqi , Norman Y. Yao

Dynamical quantum phase transitions (DQPTs) at critical times appear as non-analyticities during nonequilibrium quantum real-time evolution. Although there is evidence for a close relationship between DQPTs and equilibrium phase…

Statistical Mechanics · Physics 2015-10-06 Markus Heyl

Quantum coherence will undoubtedly play a fundamental role in understanding the dynamics of quantum many-body systems, thereby to reveal its genuine contribution is of great importance. In this paper, we specialize our discussions on the…

Quantum Physics · Physics 2024-10-29 Bao-Ming Xu

Dynamical quantum phase transitions (DQPTs) have been studied in the extended XY model under both noiseless and noisy linear driven staggered field cases. In the time-independent staggered field case, the model exhibits a single critical…

Statistical Mechanics · Physics 2025-09-29 Saeid Ansari , R. Jafari , Alireza Akbari , Mehdi Abdi

We study the dynamics arising from a double quantum quench where the parameters of a given Hamiltonian are abruptly changed from being in an equilibrium phase A to a different phase B and back (A$\to$B$\to$A). As prototype models, we…

Statistical Mechanics · Physics 2018-05-17 D. M. Kennes , D. Schuricht , C. Karrasch

We study the properties of the quantum states in the one-dimensional system with a shifted periodic potential in both the discrete model and the continuous model. With open boundary conditions, the edge states appear in the energy gaps…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Yi Zheng , Shi-Jie Yang