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We present an exact and fully analytical treatment of the entanglement dynamics for an isolated system of $N$ coupled oscillators following a sudden quench of the system parameters. The system is analyzed using the solutions of the time…

量子物理 · 物理学 2018-02-28 Supriyo Ghosh , Kumar S. Gupta , Shashi C. L. Srivastava

We review the dynamics after quantum quenches in integrable quantum spin chains. We give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the description of the steady state by (gen- eralized) Gibbs…

量子气体 · 物理学 2016-07-06 Fabian H. L. Essler , Maurizio Fagotti

We provide an overview of our numerical and analytical studies of isolated interacting quantum systems that are quenched out of equilibrium instantaneously. We describe the relaxation process to a new equilibrium and obtain lower bounds for…

统计力学 · 物理学 2016-04-04 E. J. Torres-Herrera , Davida Kollmar , Lea F. Santos

The entanglement evolution after a quantum quench became one of the tools to distinguish integrable versus chaotic (non-integrable) quantum many-body dynamics. Following this line of thoughts, here we propose that the revivals in the…

统计力学 · 物理学 2020-09-01 Ranjan Modak , Vincenzo Alba , Pasquale Calabrese

The study of the entanglement dynamics plays a fundamental role in understanding the behaviour of many-body quantum systems out of equilibrium. In the presence of a globally conserved charge, further insights are provided by the knowledge…

统计力学 · 物理学 2023-03-31 Gilles Parez , Riccarda Bonsignori , Pasquale Calabrese

Understanding various phenomena in non-equilibrium dynamics of closed quantum many-body systems, such as quantum thermalization, information scrambling, and nonergodic dynamics, is a crucial for modern physics. Using a ladder-type…

We study numerically and analytically the quench dynamics of isolated many-body quantum systems. Using full random matrices from the Gaussian orthogonal ensemble, we obtain analytical expressions for the evolution of the survival…

统计力学 · 物理学 2018-03-07 E. J. Torres-Herrera , Antonio M. García-García , Lea F. Santos

Understanding how macroscopic systems exhibit irreversible thermal behavior has been a long-standing challenge, first brought to prominence by Boltzmann. Recent advances have established rigorous conditions for isolated quantum systems to…

量子物理 · 物理学 2025-04-10 M. R. Passos , Thiago R. de Oliveira

We study the entanglement dynamics of multi-qubit systems coupled to a common dissipative environment, focusing on systems with one or two initially excited qubits. Using the Lindblad master equation, we derive the time evolution of the…

量子物理 · 物理学 2025-04-15 Z. Bakhshi , E. Morsheddoost , A. Zeynali

Quench dynamics is an active area of study encompassing condensed matter physics and quantum information, with applications to cold-atomic gases and pump-probe spectroscopy of materials. Recent theoretical progress in studying quantum…

量子气体 · 物理学 2018-05-23 Aditi Mitra

Exactly solvable models provide an opportunity to study different aspects of reduced quantum dynamics in detail. We consider the reduced dynamics of a single spin in finite XX and XY spin 1/2 chains. First we introduce a general expression…

量子物理 · 物理学 2015-03-17 Oleg Lychkovskiy

We numerically study the dynamics of entanglement entropy, induced by an oscillating time periodic driving of the transverse field, h(t), of a one-dimensional quantum Ising chain. We consider several realizations of h(t), and we find a…

统计力学 · 物理学 2016-10-14 Tony J. G. Apollaro , G. Massimo Palma , Jamir Marino

We study quench dynamics of the Bose-Hubbard model by exact diagonalization. Initially the system is at thermal equilibrium and of a finite temperature. The system is then quenched by changing the on-site interaction strength $U$ suddenly.…

统计力学 · 物理学 2011-06-21 J. M. Zhang , C. Shen , W. M. Liu

The breakdown of Lieb-Robinson bounds in local, non-Hermitian quantum systems opens up the possibility for a rich landscape of quantum many-body phenomenology. We elucidate this by studying information scrambling and quantum chaos in…

量子物理 · 物理学 2023-10-18 Brian Barch , Namit Anand , Jeffrey Marshall , Eleanor Rieffel , Paolo Zanardi

We study a system of few fermions in a one-dimensional harmonic trap, and focus on the case of dipolar majority particles in contact with a single impurity. The impurity is used both for quenching the system, and for tracking the system…

量子气体 · 物理学 2015-09-01 Tobias Graß

We explore the dynamics of the entanglement entropy near equilibrium in highly-entangled pure states of two quantum-chaotic spin chains undergoing unitary time evolution. We examine the relaxation to equilibrium from initial states with…

统计力学 · 物理学 2015-06-26 Liangsheng Zhang , Hyungwon Kim , David A. Huse

This colloquium gives an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems. We particularly focus on quantum quenches: the temporal evolution following a sudden or…

How quantum information is scrambled in the global degrees of freedom of non-equilibrium many-body systems is a key question to understand local thermalization. Here we propose that the scaling of the mutual information between two…

统计力学 · 物理学 2019-10-01 Vincenzo Alba , Pasquale Calabrese

The linear growth of entanglement after a quench from a state with short-range correlations is a universal feature of many body dynamics. It has been shown to occur in integrable and chaotic systems undergoing either Hamiltonian, Floquet or…

统计力学 · 物理学 2024-12-13 Konstantinos Chalas , Pasquale Calabrese , Colin Rylands

Dynamics of large complex systems, such as relaxation towards equilibrium in classical statistical mechanics, often obeys a master equation. The equation significantly simplifies the complexities but describes essential information of…

量子物理 · 物理学 2018-05-09 Hyosub Kim , Yeje Park , Kyungtae Kim , H. -S. Sim , Jaewook Ahn
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