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We investigate the mixed-state entanglement between two spins embedded in the XXZ Heisenberg chain under thermal equilibrium. By deriving an analytical expression for the entanglement of two-spin thermal states and extending this analysis…

Quantum Physics · Physics 2025-02-28 Dihang Sun , Zhigang Hu , Biao Wu

A system of two coupled oscillators, each of them coupled to an independent reservoir, is analysed. The analytical solution of the non-rotating wave master equation is obtained in the high-temperature and weak coupling limits. No thermal…

Quantum Physics · Physics 2014-02-07 A. Ghesquière , I. Sinayskiy , F. Petruccione

We investigate a simplified model of two fully connected magnetic systems maintained at different temperatures by virtue of being connected to two independent thermal baths while simultaneously being inter-connected with each other. Using…

Statistical Mechanics · Physics 2015-06-15 Roberto C. Alamino , Amit Chattopadhyay , David Saad

Non-equilibrium spin-chain systems have been attracting increasing interest in energy transport. This work studies a one-dimensional non-equilibrium Ising chain immersed in a tilted magnetic field, every spin contacts a Boson reservoir with…

Quantum Physics · Physics 2025-05-21 Yi-jia Yang , Yu-qiang Liu , Zheng Liu , Chang-shui Yu

We consider the buildup and decay of two-spin entanglement through phase interactions in a finite environment of surrounding spins, as realized in quantum computing platforms based on arrays of atoms, molecules, or nitrogen vacancy centers.…

Quantum Physics · Physics 2023-08-22 Mei Yu , Otfried Gühne , Stefan Nimmrichter

This thesis is devoted to the study of physical systems embedded within the field of non-equilibrium statistical mechanics. Specifically, the state of the systems of interest constitutes a stochastic process that can be externally driven by…

Statistical Mechanics · Physics 2025-11-13 Antonio Patrón Castro

The time evolution of a spin-1/2 particle under the influence of a locally applied external magnetic field, and interacting with anisotropic spin environment in thermal equilibrium at temperature $T$ is studied. The exact analytical form of…

Quantum Physics · Physics 2011-10-19 Y. Hamdouni , F. Petruccione

Understanding quantum thermalization through entanglement build-up in isolated quantum systems addresses fundamental questions on how unitary dynamics connects to statistical physics. Here, we study the spin dynamics and approach towards…

We study the stationary nonequilibrium regime which settles in when two single-spin paramagnets each in contact with its own thermal bath are coupled. The response vs. correlation plot exhibits some features of aging systems, in particular…

Statistical Mechanics · Physics 2009-10-31 Raphael Exartier , Luca Peliti

We investigate entanglement of spin pairs in alternating open spin chains in the equilibrium state in an external magnetic field. We calculate the reduced density matrix of spin pairs and estimate the concurrence with Wootter's criteria.…

Quantum Physics · Physics 2009-11-13 S. I. Doronin , E. B. Fel'dman , A. N. Pyrkov

The concurrence between first and the last sites of a fermionic spin chain containing a single boson is rigorously investigated at finite low temperature in the vicinity of a weak homogeneous magnetic field. We consider the boson as a…

Statistical Mechanics · Physics 2018-06-13 Hamid Arian Zad , Majid Moradi

We study the magnetic phases of a non-equilibrium spin chain, where coherent interactions between neighboring lattice sites compete with alternating gain and loss processes. This competition between coherent and incoherent dynamics induces…

Quantum Physics · Physics 2020-07-29 Julian Huber , Peter Kirton , Peter Rabl

We present the exact solution for the full dynamics of a nonequilibrium spin chain and its dual reaction-diffusion model, for arbitrary initial conditions. The spin chain is driven out of equilibrium by coupling alternating spins to two…

Statistical Mechanics · Physics 2007-05-23 M. Mobilia , B. Schmittmann , R. K. P. Zia

We investigate the dissipative dynamics of a quantum critical system in contact with a thermal bath. In analogy with the standard protocol employed to analyze aging, we study the response of a system to a sudden change of the bath…

Statistical Mechanics · Physics 2015-05-13 Dario Patanè , Alessandro Silva , Fernando Sols , Luigi Amico

In this review, we discuss the decoherence and thermalization of a quantum spin system interacting with a spin bath environment, by numerically solving the time-dependent Schr\"{o}dinger equation of the whole system. The effects of the…

Quantum Physics · Physics 2010-05-27 Shengjun Yuan

In most cases, a small system weakly interacting with a thermal bath will finally reach the thermal state with the temperature of the bath. We show that this intuitive picture is not always true by a spin star model where non-Markov effect…

Quantum Physics · Physics 2015-03-20 Zhihai Wang , Yu Guo , D. L. Zhou

We study the decoherence of two coupled spins that interact with a spin-bath environment. It is shown that the connectivity and the coupling strength between the spins in the environment are of crucial importance for the decoherence of the…

Quantum Physics · Physics 2008-10-22 Shengjun Yuan , Mikhail I. Katsnelson , Hans De Raedt

We study the exact physical quantities of a competing spin chain which contains many interesting and meaningful couplings including the nearest neighbor, next nearest neighbor, chiral three spins, Dzyloshinsky-Moriya interactions and…

Mathematical Physics · Physics 2023-08-29 Pengcheng Lu , Yi Qiao , Junpeng Cao , Wen-Li Yang

We consider integrable quantum spin chains with competing interactions. We apply the quantum transfer matrix approach to these spin chains. This allowed us to derive a set of non-linear integral equations for the thermodynamics of these…

Statistical Mechanics · Physics 2014-09-05 T. S. Tavares , G. A. P. Ribeiro

We study nonequilibrium steady states (NESSs) in quantum spin-1/2 chains in contact with two heat baths at different temperatures. We consider the weak-coupling limit both for spin-spin coupling in the system and for system-bath coupling.…

Statistical Mechanics · Physics 2017-04-07 Toyohiko Ishida , Ayumu Sugita