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The non-equilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of time scales. We explore these features…

统计力学 · 物理学 2015-11-04 Anna Maraga , Alessio Chiocchetta , Aditi Mitra , Andrea Gambassi

By analyzing spin-spin correlation functions at relatively short distances, we show that equilibrium near-critical properties can be extracted at short times after quenches into the vicinity of a quantum critical point. The time scales…

The emerging field of quantum thermodynamics is contributing important results and insights into archetypal many-body problems, including quantum phase transitions. Still, the question whether out-of-equilibrium quantities, such as…

We study the time evolution of classical spin systems with purely relaxational dynamics, quenched from T >> T_c to the critical point, in the semi-infinite geometry. Shortly after the quench, like in the bulk, a nonequilibrium regime…

凝聚态物理 · 物理学 2009-10-28 U. Ritschel , P. Czerner

Out of equilibrium quantum systems, on top of quantum fluctuations, display complex temporal patterns. Such time fluctuations are generically exponentially small in the system volume and can be therefore safely ignored in most of the cases.…

量子物理 · 物理学 2014-02-12 Lorenzo Campos Venuti , Paolo Zanardi

We study the universal real-time relaxation behaviors of a long-range quantum XY chain following a quench. Our research includes both the noncritical and critical quench. In the case of noncritical quench, i.e., neither the initial state…

统计力学 · 物理学 2023-12-05 Yu-Huang Huang , Yin-Tao Zou , Chengxiang Ding

We investigate quantum quenches starting from a critical point and experimentally probe the associated defect statistics using a trapped-ion quantum simulator of the transverse-field Ising model. The cumulants of the defect number…

In recent times it has been observed that signatures of equilibrium quantum criticality surprisingly show up in many-body systems which are manifestly far from equilibrium. We explore such scenarios in interacting spin systems subject to a…

统计力学 · 物理学 2023-03-02 Souvik Bandyopadhyay , Anatoli Polkovnikov , Amit Dutta

The coherent quantum evolution of a one-dimensional many-particle system after sweeping the Hamiltonian through a critical point is studied using a generalized quantum Ising model containing both integrable and non-integrable regimes. It is…

强关联电子 · 物理学 2015-05-13 Frank Pollmann , Subroto Mukerjee , Andrew G. Green , Joel E. Moore

We study the universal dynamical relaxation behaviors of a quantum XY chain following a quench, paying special attention to the case that the prequenched Hamiltonian, or the postquenched Hamiltonian, or both of them are at critical points…

统计力学 · 物理学 2023-08-02 Yin-Tao Zou , Chengxiang Ding

Uncovering and understanding universal dynamics in matter far from equilibrium remains a key challenge. In this work, we identify a so far unrecognized form of universal behavior that emerges after a sudden symmetry-breaking quench at…

量子物理 · 物理学 2026-05-11 Tobias Wiener , Laurin Brunner , Markus Heyl

Universal scaling laws form one of the central issues in physics. A non-standard scaling law or a breakdown of a standard scaling law, on the other hand, can often lead to the finding of a new universality class in physical systems.…

统计力学 · 物理学 2015-06-15 Isao Nishikawa , Gouhei Tanaka , Kazuyuki Aihara

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…

统计力学 · 物理学 2015-10-06 Markus Heyl

We investigate the emergence of universal dynamical scaling in quantum critical spin systems adiabatically driven out of equilibrium, with emphasis on quench dynamics which involves non-isolated critical points (i.e., critical regions) and…

统计力学 · 物理学 2009-11-13 Shusa Deng , Gerardo Ortiz , Lorenza Viola

We present a general dynamic finite-size scaling theory for the quantum dynamics after an abrupt quench, at both continuous and first-order quantum transitions. For continuous transitions, the scaling laws are naturally ruled by the…

统计力学 · 物理学 2018-06-01 Andrea Pelissetto , Davide Rossini , Ettore Vicari

In this work we investigate the equilibration dynamics after a sudden Hamiltonian quench of a quantum spin system initially prepared in a thermal state. To characterize the equilibration we evaluate the Loschmidt echo, a global measure for…

量子物理 · 物理学 2011-09-13 N. Tobias Jacobson , Lorenzo Campos Venuti , Paolo Zanardi

Taking the quantum Kitaev chain as an example, we have studied the universal dynamical behaviors resulting from quantum criticality under the condition of environmental temperature quench. Our findings reveal that when the quantum parameter…

量子物理 · 物理学 2026-01-21 Chengxiang Ding , Long Zhang

We introduce a variational implementation of cluster perturbation theory (CPT) to address the dynamics of spin systems driven out of equilibrium. We benchmark the method with the quantum Ising model subject to a sudden quench of the…

强关联电子 · 物理学 2016-12-07 Mohammad Zhian Asadzadeh , Michele Fabrizio , Enrico Arrigoni

Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation…

We propose a method to study dynamical response of a quantum system by evolving it with an imaginary-time dependent Hamiltonian. The leading non-adiabatic response of the system driven to a quantum-critical point is universal and…

其他凝聚态物理 · 物理学 2015-05-28 C. De Grandi , A. Polkovnikov , A. W. Sandvik
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