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We use the Quench Action approach to study the non-equilibrium dynamics after a quantum quench in the Hubbard model in the limit of infinite interaction. We identify a variety of low-entangled initial states for which we can directly…

统计力学 · 物理学 2017-11-03 Bruno Bertini , Elena Tartaglia , Pasquale Calabrese

We introduce an extension of the non-equilibrium dynamical mean field theory to incorporate the effects of static random disorder in the dynamics of a many-particle system by integrating out different disorder configurations resulting in an…

强关联电子 · 物理学 2025-04-28 Chakradhar Rangi , Herbert F Fotso , Hanna Terletska , Juana Moreno , Ka-Ming Tam

Thermalization in open systems coupled to macroscopic environments is usually analyzed from the perspective of relaxation of the reduced state of the system to the equilibrium state. Less emphasis is given to the change of the state of the…

统计力学 · 物理学 2022-07-19 Krzysztof Ptaszynski , Massimiliano Esposito

We investigate the equilibration dynamics of string order in one-dimensional quantum systems. After initializing a spin-1 chain in the Haldane phase, the time evolution of non-local correlations following a sudden quench is studied by means…

统计力学 · 物理学 2014-07-15 Leonardo Mazza , Davide Rossini , Manuel Endres , Rosario Fazio

In this PhD thesis we investigate some properties of one-dimensional quantum systems, focusing on two important aspects of integrable models: Their entanglement properties at equilibrium and their dynamical correlators after a quantum…

统计力学 · 物理学 2013-03-13 Stefano Evangelisti

Studying entanglement growth in quantum dynamics provides both insight into the underlying microscopic processes and information about the complexity of the quantum states, which is related to the efficiency of simulations on classical…

量子气体 · 物理学 2013-09-23 J. Schachenmayer , B. P. Lanyon , C. F. Roos , A. J. Daley

We theoretically study the dynamics of a transverse-field Ising chain with power-law decaying interactions characterized by an exponent $\alpha$, which can be experimentally realized in ion traps. We focus on two classes of emergent…

量子气体 · 物理学 2018-04-04 Bojan Zunkovic , Markus Heyl , Michael Knap , Alessandro Silva

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

We study a quantum quench in the Bose-Hubbard model where the tunneling rate $J$ is suddenly switched from zero to a finite value in the Mott regime. In order to solve the many-body quantum dynamics far from equlibrium, we consider the…

量子物理 · 物理学 2015-11-04 K. V. Krutitsky , P. Navez , F. Queisser , R. Schützhold

Quantum many body systems with long range interactions are known to display many fascinating phenomena experimentally observable in trapped ions, Rydberg atoms and polar molecules. Among these are dynamical phase transitions which occur…

统计力学 · 物理学 2019-11-11 Giulia Piccitto , Alessandro Silva

What happens when one of the parameters governing the dynamics of a long-range interacting system of particles in thermal equilibrium is abruptly changed (quenched) to a different value? While a short-range system, under the same…

统计力学 · 物理学 2016-11-23 Shamik Gupta , Lapo Casetti

The non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix…

统计力学 · 物理学 2009-11-13 Maurizio Fagotti , Pasquale Calabrese

We consider the steady state behavior of observables in the Su-Schrieffer-Heeger model and in the one dimensional transverse field quantum Ising model after a sudden quantum quench of the parameter controlling the gap. In the thermodynamic…

统计力学 · 物理学 2018-12-13 S. Porta , N. Traverso Ziani , D. M. Kennes , F. M. Gambetta , M. Sassetti , F. Cavaliere

We study quantum annealing in the quantum Ising model coupled to a thermal environment. When the speed of quantum annealing is sufficiently slow, the system evolves following the instantaneous thermal equilibrium. This quasistatic and…

量子物理 · 物理学 2022-05-09 Hiroki Oshiyama , Sei Suzuki , Naokazu Shibata

We consider a Glauber dynamics associated with the Ising model on a large two-dimensional box with with minus boundary conditions and in the limit of a vanishing positive external magnetic field. The volume of this box increases…

概率论 · 数学 2020-05-13 Alexandre Gaudillière , Paolo Milanesi , Maria Eulália Vares

We consider the time evolution of observables in the transverse field Ising chain (TFIC) after a sudden quench of the magnetic field. We provide exact analytical results for the asymptotic time and distance dependence of one- and two-point…

强关联电子 · 物理学 2011-06-03 Pasquale Calabrese , Fabian H. L. Essler , Maurizio Fagotti

We present the spin-wave theory of the excitation spectrum and quench dynamics of the non-Hermitian transverse-field Ising model. The complex excitation spectrum is obtained for a generic hypercubic lattice using the linear approximation of…

量子物理 · 物理学 2024-11-26 Julien Despres , Leonardo Mazza , Marco Schirò

We consider nonequilibrium critical dynamics of the two-dimensional Ising model for which the initial state is prepared by switching on random fields with zero mean and variance $H$. In the initial state there is no magnetic order but the…

统计力学 · 物理学 2015-06-25 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

The correlated non-equilibrium dynamics of few-boson systems in one-dimensional finite lattices is investigated. Starting from weak interactions we perform a sudden interaction quench and employ the numerically exact Multi-Layer…

量子气体 · 物理学 2017-10-31 S. I. Mistakidis , L. Cao , P. Schmelcher

We consider a quantum quench in a non-interacting fermionic one-dimensional field-theory. The system of size $L$ is initially prepared into two halves $\mathcal{L}$ ($[-L/2,0]$) and $\mathcal{R}$ ($[0,L/2]$), each of them thermalized at two…

统计力学 · 物理学 2014-10-23 Mario Collura , Dragi Karevski