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Quantum-optical techniques allow for generating controllable spin-spin interactions between ions, making trapped ions an ideal quantum simulator of Heisenberg chains. A single parameter, the detuning of the Raman coupling, allows to switch…

Quantum Gases · Physics 2014-06-04 Tobias Graß , Maciej Lewenstein

One-dimensional systems exhibiting a continuous symmetry can host quantum phases of matter with true long-range order only in the presence of sufficiently long-range interactions. In most physical systems, however, the interactions are…

We consider a model for thermal contact through a diathermal interface between two macroscopic bodies at different temperatures: an Ising spin chain with nearest neighbor interactions is endowed with a Glauber dynamics with different…

Statistical Mechanics · Physics 2018-05-09 M. Bauer , F. Cornu

Eigenstate thermalization is widely accepted as the mechanism behind thermalization in generic isolated quantum systems. Using the example of a single magnetic defect embedded in the integrable spin-1/2 $XXZ$ chain, we show that locally…

Statistical Mechanics · Physics 2020-08-14 Marlon Brenes , Tyler LeBlond , John Goold , Marcos Rigol

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

Strongly Correlated Electrons · Physics 2017-08-23 Subir Sachdev

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

Statistical Mechanics · Physics 2025-04-24 Varazdat Stepanyan , Andreas F. Tzortzakakis , David Petrosyan , Armen E. Allahverdyan

We show that a chain of trapped ions embedded in microtraps generated by an optical lattice can be used to study oscillator models related to dry friction and energy transport. Numerical calculations with realistic experimental parameters…

Quantum Physics · Physics 2011-08-17 Thaned Pruttivarasin , Michael Ramm , Ishan Talukdar , Axel Kreuter , Hartmut Haeffner

We analyze a new class of time-periodic nonreciprocal dynamics in interacting chaotic classical spin systems, whose equations of motion are conservative (phase-space-volume-preserving) yet possess no symplectic structure. As a result, the…

Statistical Mechanics · Physics 2023-11-09 Adam J. McRoberts , Hongzheng Zhao , Roderich Moessner , Marin Bukov

We present a cryogenic ion trapping system designed for large scale quantum simulation of spin models. Our apparatus is based on a segmented-blade ion trap enclosed in a 4 K cryostat, which enables us to routinely trap over 100…

A well-isolated system often shows relaxation to a quasi-stationary state before reaching thermal equilibrium. Such a prethermalization has attracted considerable interest recently in association with closely related fundamental problems of…

Quantum Gases · Physics 2015-12-08 Eriko Kaminishi , Takashi Mori , Tatsuhiko N. Ikeda , Masahito Ueda

We study the response of a thermal state of an Ising chain to a nonlocal non-Hermitian perturbation, which coalesces the topological Kramer-like degeneracy in the ferromagnetic phase. The dynamic responses for initial thermal states in…

Strongly Correlated Electrons · Physics 2021-03-24 K. L. Zhang , Z. Song

We discuss the origin of an enigmatic low-temperature behavior of one-dimensional decorated spin systems which was coined the pseudo-transition. Tracing out the decorated parts results in the standard Ising-chain model with…

Statistical Mechanics · Physics 2021-05-07 Taras Krokhmalskii , Taras Hutak , Onofre Rojas , Sergio Martins de Souza , Oleg Derzhko

The evolution of the entanglement between two oscillators coupled to a common thermal environment is non-trivial. The long time limit has three qualitatively different behaviors (phases) depending on parameters such as the temperature of…

Quantum Physics · Physics 2015-05-14 Cecilia Cormick , Juan Pablo Paz

Prethermalization refers to the transient phenomenon where a system thermalizes according to a Hamiltonian that is not the generator of its evolution. We provide here a rigorous framework for quantum spin systems where prethermalization is…

Mathematical Physics · Physics 2017-07-11 Dmitry Abanin , Wojciech De Roeck , Wen Wei Ho , Francois Huveneers

We consider the common spin-1/2 XX-model in one dimension with open boundary conditions and a large but finite number of spins. The system is in thermal equilibrium at times t<0, and is subject to a weak local perturbation (quantum quench)…

Statistical Mechanics · Physics 2025-02-27 Peter Reimann , Christian Eidecker-Dunkel

An adiabatic transition between two equilibrium states corresponding to different stiffnesses in an infinite chain of particles is studied. Initially, the chain particles have random displacements and random velocities corresponding to a…

Statistical Mechanics · Physics 2020-11-04 Anton M. Krivtsov , Andrey S. Murachev

he thermal entanglement is generated by weakly interacting atoms with an isotropic spin-1 chain. The decoherence of the entanglement is mainly investigated. The effective Hamiltonian is analytically obtained by the approximation method of…

Quantum Physics · Physics 2015-05-14 Xiang Hao

Systems subject to a high-frequency drive can spend an exponentially long time in a prethermal regime, in which novel phases of matter with no equilibrium counterpart can be realized. Due to the notorious computational challenges of quantum…

Quantum Physics · Physics 2021-09-29 Andrea Pizzi , Andreas Nunnenkamp , Johannes Knolle

The thermodynamics of the lattice model of intercalation of ions in crystals is considered in the mean field approximation. Pseudospin formalism is used for the description of interaction of electrons with ions and the possibility of…

Strongly Correlated Electrons · Physics 2009-07-08 T. S. Mysakovych , V. O. Krasnov , I. V. Stasyuk

For a transverse-field Ising chain with weak long-range interactions we develop a perturbative scheme, based on quantum kinetic equations, around the integrable nearest-neighbour model. We introduce, discuss, and benchmark several…

Quantum Physics · Physics 2019-03-14 Clément Duval , Michael Kastner