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Driven quantum systems coupled to an environment typically exhibit effectively thermal behavior with relaxational dynamics near criticality. However, a different qualitative behavior might be expected in the weakly dissipative limit due to…

Quantum Gases · Physics 2021-01-15 Daniel A. Paz , Mohammad F. Maghrebi

We investigate the dynamical quantum phase transition (DQPT) in the multi-band Bloch Hamiltonian of the one-dimensional periodic Kitaev model, focusing on quenches from a Bloch band. By analyzing the dynamical free energy and Pancharatnam…

Statistical Mechanics · Physics 2024-11-19 Kaiyuan Cao , Hao Guo , Guangwen Yang

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…

Strongly Correlated Electrons · Physics 2021-08-11 Wing Chi Yu , P. D. Sacramento , Yan Chao Li , Hai-Qing Lin

We propose and analyze two distinct routes toward realizing interacting symmetry-protected topological (SPT) phases via periodic driving. First, we demonstrate that a driven transverse-field Ising model can be used to engineer complex…

We study an integrable spin chain with three spin interactions and the staggered field ($\lambda$) while the latter is quenched either slowly (in a linear fashion in time ($t$) as $t/\tau$ where $t$ goes from a large negative value to a…

Statistical Mechanics · Physics 2016-06-22 Uma Divakaran , Shraddha Sharma , Amit Dutta

In periodically driven (Floquet) systems, evolution typically results in an infinite-temperature thermal state due to continuous energy absorption over time. However, before reaching thermal equilibrium, such systems may transiently pass…

Quantum Physics · Physics 2026-03-13 Kazuya Shinjo , Kazuhiro Seki , Tomonori Shirakawa , Rong-Yang Sun , Seiji Yunoki

A quantum phase transition is a dramatic event marked by large spatial and temporal fluctuations, where one phase of matter with its ground state and tower of excitations reorganizes into a completely different phase. We provide new insight…

Superconductivity · Physics 2014-04-11 Mason Swanson , Yen Lee Loh , Mohit Randeria , Nandini Trivedi

Open driven quantum systems have defined a powerful paradigm of nonequilibrium phases and phase transitions; however, quantum phase transitions are generically not expected in this setting due to the decohering effect of dissipation. In…

Quantum Gases · Physics 2026-02-18 Mostafa Ali , Naushad A. Kamar , Alireza Seif , Mohammad Maghrebi

In this paper, we have studied the one-dimensional commensurate quantum Frenkel-Kontorova model by a density-matrix renormalization group (DMRG) algorithm. The focus has been on its properties of the entanglement, the coordinate…

Statistical Mechanics · Physics 2015-06-19 Yongjun Ma , Jiaxiang Wang , Xinye Xu , Qi Wei , Sabre Kais

We investigate the effects of uncorrelated noise on dynamical quantum phase transitions (DQPTs) in fermionic two-band models following a quantum ramp across critical points. We consider a generalized Loschmidt echo for the noise-averaged…

Statistical Mechanics · Physics 2025-08-06 R. Jafari , Alireza Akbari , Mehdi Biderang , Jesko Sirker

By deriving a general framework and analyzing concrete examples, we demonstrate a class of dynamical quantum phase transitions (DQPTs) in one-dimensional two-band systems going through double-quench processes. When this type of DQPT occurs,…

Quantum Physics · Physics 2022-07-05 Xu-Yang Hou , Qu-Cheng Gao , Hao Guo , Chih-Chun Chien

Dynamical phase transitions (DPTs) characterize critical changes in system behavior occurring at finite times, providing a lens to study nonequilibrium phenomena beyond conventional equilibrium physics. While extensively studied in quantum…

Physics and Society · Physics 2024-12-10 Jiazhen Liu , Nathaniel M. Aden , Debasish Sarker , Chaoming Song

Quantum phase transitions occur at zero temperature when some non-thermal control-parameter like pressure or chemical composition is changed. They are driven by quantum rather than thermal fluctuations. In this review we first give a…

Statistical Mechanics · Physics 2017-09-27 Thomas Vojta

We study the real-time dynamics of a quantum Ising chain driven periodically by instantaneous quenches of the transverse field (the transverse field varying as rectangular wave symmetric about zero). Two interesting phenomena are reported…

Quantum Physics · Physics 2012-08-13 Sirshendu Bhattacharyya , Arnab Das , Subinay Dasgupta

A quantum critical system described at low energy by a conformal field theory (CFT) and subjected to a time-periodic boundary drive displays multiple dynamical regimes depending on the drive frequency. We compute the behavior of quantities…

Strongly Correlated Electrons · Physics 2017-07-03 William Berdanier , Michael Kolodrubetz , Romain Vasseur , Joel E. Moore

We study the time-dependent circuit complexity of the periodically driven transverse field Ising model using Nielsen's geometric approach. In the high-frequency driving limit the system is known to exhibit non-equilibrium phase transitions…

Quantum Physics · Physics 2020-11-18 Giancarlo Camilo , Daniel Teixeira

Global quenches of quantum many-body models can give rise to periodic dynamical quantum phase transitions (DQPTs) directly connected to the zeros of a Landau order parameter (OP). The associated dynamics has been argued to bear close…

Quantum Physics · Physics 2023-08-15 Maarten Van Damme , Jean-Yves Desaules , Zlatko Papić , Jad C. Halimeh

Dynamical phase transitions (DPTs) in the space of trajectories are one of the most intriguing phenomena of nonequilibrium physics, but their nature in realistic high-dimensional systems remains puzzling. Here we observe for the first time…

Statistical Mechanics · Physics 2017-09-07 N. Tizón-Escamilla , C. Pérez-Espigares , P. L. Garrido , P. I. Hurtado

We study a 1D-Quantum Ising Model in transverse field driven out of equilibrium by performing a composite quantum quench to deduce the asymptotic properties of the transverse magnetization stationary state via the analysis of the spectral…

Statistical Mechanics · Physics 2019-11-06 Giulia Piccitto , Alessandro Silva

Dynamical quantum phase transitions can occur following quenches in quantum systems when the rate function, a dynamical analogue of the free energy, becomes non-analytic at critical times. Here we exhaustively investigate in an exemplary…

Statistical Mechanics · Physics 2023-10-20 Hadi Cheraghi , Nicholas Sedlmayr
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