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The interplay of topology with nonequilibrium driving and dissipation in open quantum systems has recently attracted significant interest in condensed matter physics. In this work, we investigate a driven, dissipative Haldane model using…

Disordered Systems and Neural Networks · Physics 2026-01-15 Konrad Koenigsmann , Sankha Subhra Bakshi , Peter Schauss , Gia-Wei Chern

Small thermodynamic systems exhibit peculiar behavior different from that observed in long-scale systems. Non-equilibrium processes taking place in those systems are strongly influenced by the presence of fluctuations which can be large.…

Statistical Mechanics · Physics 2007-05-23 J. M. Rubi

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

Characterizing the nature of hydrodynamical transport properties in quantum dynamics provides valuable insights into the fundamental understanding of exotic non-equilibrium phases of matter. Experimentally simulating infinite-temperature…

We study a recently discussed XX spin chain with non-local dephasing [arXiv:2310.03069] in a steady-state boundary-driven setting, confirming superdiffusive magnetization transport in the thermodynamic limit. The emergence of superdiffusion…

Strongly Correlated Electrons · Physics 2024-02-07 Marko Znidaric

In this work, we explore the possibility of enhancing a spin current under a thermal switch, i.e., connecting the central transport region to two leads in individual thermal equilibrium abruptly. Using the nonequilibrium Green's function…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Xiaobin Chen , Jiangtao Yuan , Gaomin Tang , Jian Wang , Zhaohui Zhang , Can-Ming Hu , Hong Guo

We connect two recent advances in the stochastic analysis of nonequilibrium systems: the (loose) uncertainty principle for the currents, which states that statistical errors are bounded by thermodynamic dissipation; and the analysis of…

Statistical Mechanics · Physics 2016-11-04 M. Polettini , A. Lazarescu , M. Esposito

We study the driven Brownian motion of hard rods in a one-dimensional cosine potential with an amplitude large compared to the thermal energy. In a closed system, we find surprising features of the steady-state current in dependence of the…

Statistical Mechanics · Physics 2018-10-24 Dominik Lips , Artem Ryabov , Philipp Maass

We consider heat transport across a harmonic chain of charged particles, with transverse degrees of freedom, in the presence of a uniform magnetic field. For an open chain connected to heat baths at the two ends we obtain the nonequilibrium…

Statistical Mechanics · Physics 2021-12-22 Junaid Bhat , Gaëtan Cane , Cédric Bernardin , Abhishek Dhar

We study a chain of non-linear, interacting spins driven by a static and a time-dependent magnetic field. The aim is to identify the conditions for the locally and temporally controlled spin switching. Analytical and full numerical…

Chaotic Dynamics · Physics 2015-05-13 L. Chotorlishvili , Z. Toklikishvili , J. Berakdar

The free energy and correlation lengths of the spin-1/2 $XYZ$ chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented…

Condensed Matter · Physics 2009-10-22 Andreas Klümper

We study a periodically driven macrospin system with anisotropic long-range interactions and collective dissipation, described by a Lindblad master equation. In the thermodynamic limit ($N\to\infty$), a mean-field treatment yields classical…

Quantum Physics · Physics 2026-01-05 Haowei Fan , Vladimir Fal'ko , Xiao Li

In this paper we employ non equilibrium thermodynamics of fluxes and forces to describe magnetization and heat transport. By the theory we are able to identify the thermodynamic driving force of the magnetization current as the gradient of…

Large deviation results are given for a class of perturbed nonhomogeneous Markov chains on finite state space which formally includes some stochastic optimization algorithms. Specifically, let {P_n} be a sequence of transition matrices on a…

Probability · Mathematics 2007-05-23 Zach Dietz , Sunder Sethuraman

A diffusive system coupled to unequal boundary reservoirs reaches a non-equilibrium steady state. While the full-counting-statistics of current fluctuations in these states are well understood for generic systems, results for steady-state…

Statistical Mechanics · Physics 2026-01-29 Soumyabrata Saha , Tridib Sadhu

A new theoretical approach to non-equilibrium statistical systems has recently been proposed by the author, a co-author and others. It is based on a variational principle which is associated with the discrepancy of a path through…

Statistical Mechanics · Physics 2019-08-06 Richard Kleeman

We study the dynamics of a system of N classical spins with infinite-range interaction. We show that, when the thermodynamic limit is taken before the infinite-time limit, the system does not relax to the Boltzmann-Gibbs equilibrium, but…

Condensed Matter · Physics 2009-11-07 V. Latora , A. Rapisarda , C. Tsallis

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 construct exact steady states of unitary non-equilibrium time evolution in the gapless XXZ spin-1/2 chain where integrability preserves ballistic spin transport at long-times. We characterize the quasi-local conserved quantities…

Strongly Correlated Electrons · Physics 2017-08-23 Andrea De Luca , Mario Collura , Jacopo De Nardis

We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

Statistical Mechanics · Physics 2009-10-31 Alexander Patashinski