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The Lindblad master equation is one of the main approaches to open quantum systems. While it has been widely applied in the context of condensed matter systems to study properties of steady states in the limit of long times, the actual…

Statistical Mechanics · Physics 2023-08-07 Tjark Heitmann , Jonas Richter , Jacek Herbrych , Jochen Gemmer , Robin Steinigeweg

The transport of excitation probabilities amongst weakly coupled subunits is investigated for a class of finite quantum systems. It is demonstrated that the dynamical behavior of the transported quantity depends on the considered length…

Statistical Mechanics · Physics 2007-10-09 Robin Steinigeweg , Heinz-Peter Breuer , Jochen Gemmer

We investigate heat transport in a spin-1/2 Heisenberg chain, coupled locally to independent thermal baths of different temperature. The analysis is carried out within the framework of the theory of open systems by means of appropriate…

Quantum Physics · Physics 2009-11-13 Hannu Wichterich , Markus J. Henrich , Heinz-Peter Breuer , Jochen Gemmer , Mathias Michel

A general theoretical approach to study the quantum kinetics in a system coupled to a bath is proposed. Starting with the microscopic interaction, a Lindblad master equation is established, which goes beyond the common secular…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 Gediminas Kiršanskas , Martin Franckié , Andreas Wacker

Analyzing routes of transport for open quantum systems with non-equilibrium initial conditions is extremely challenging. The state-to-state approach [A. Bose, and P.L. Walters, J. Chem. Theory Comput. 2023, 19, 15, 4828-4836] has proven to…

Quantum Physics · Physics 2026-04-14 Devansh Sharma , Amartya Bose

The transport coefficients of a granular binary mixture driven by a stochastic bath with friction are determined from the inelastic Boltzmann kinetic equation. A normal solution is obtained via the Chapman-Enskog method for states near…

Statistical Mechanics · Physics 2013-11-20 Nagi Khalil , Vicente Garzó

State-of-the-art approaches to extract transport coefficients of many-body quantum systems broadly fall into two categories: (i) they target the linear-response regime in terms of equilibrium correlation functions of the closed system; or…

We study the transport properties of passive inertial particles in a $2-d$ incompressible flows. Here the particle dynamics is represented by the $4-d$ dissipative embedding map of $2-d$ area-preserving standard map which models the…

Chaotic Dynamics · Physics 2009-07-23 N. Nirmal Thyagu , Neelima Gupte

A common wisdom posits that transports of conserved quantities across clean nonintegrable quantum systems at high temperatures are diffusive when probed from the emergent hydrodynamic regime. We show that this empirical paradigm may alter…

Strongly Correlated Electrons · Physics 2024-09-20 Chun Chen , Yan Chen , Xiaoqun Wang

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

In this work we study the heat transport in an XXZ spin-1/2 Heisenberg chain with homogeneous magnetic field, incoherently driven out of equilibrium by reservoirs at the boundaries. We focus on the effect of bulk dephasing…

Strongly Correlated Electrons · Physics 2013-07-17 J. J. Mendoza-Arenas , S. Al-Assam , S. R. Clark , D. Jaksch

We investigate energy transport in several two-level atom or spin-1/2 models by a direct coupling to heat baths of different temperatures. The analysis is carried out on the basis of a recently derived quantum master equation which…

Quantum Physics · Physics 2009-11-13 Mathias Michel , Ortwin Hess , Hannu Wichterich , Jochen Gemmer

In gravel-bed rivers, bedload transport exhibits considerable variability in time and space. Recently, stochastic bedload transport theories have been developed to address the mechanisms and effects of bedload transport fluctuations.…

Fluid Dynamics · Physics 2016-12-21 J. Heyman , P. Bohorquez , C. Ancey

We study the transport property of diffusion in a finite translationally invariant quantum subsystem described by a tight-binding Hamiltonian with a single energy band and interacting with its environment by a coupling in terms of…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Pierre Gaspard

We discuss recent findings about properties of quantum nonequilibrium steady states. In particular we focus on transport properties. It is shown that the time dependent density matrix renormalization method can be used successfully to find…

Quantum Physics · Physics 2011-11-15 Marko Znidaric

We calculate a nonequilibrium steady state of a quantum XX chain in the presence of dephasing and driving due to baths at chain ends. The obtained state is exact in the limit of weak driving while the expressions for one- and two-point…

Statistical Mechanics · Physics 2012-03-06 Marko Znidaric

We study the transport and equilibration properties of a classical Heisenberg chain, whose couplings are random variables drawn from a one-parameter family of power-law distributions. The absence of a scale in the couplings makes the system…

Statistical Mechanics · Physics 2023-10-09 Adam J. McRoberts , Federico Balducci , Roderich Moessner , Antonello Scardicchio

The transport coefficients of a granular fluid driven by a stochastic bath with friction are obtained by solving the inelastic Enskog kinetic equation from the Chapman-Enskog method. The heat and momentum fluxes as well as the cooling rate…

Statistical Mechanics · Physics 2017-01-05 V. Garzó , M. G. Chamorro , F. Vega Reyes

We consider a one-dimensional Brownian motion with diffusion coefficient $D$ in the presence of $n$ partially absorbing traps with intensity $\beta$, separated by a distance $L$ and evenly spaced around the initial position of the particle.…

Statistical Mechanics · Physics 2022-11-28 Gaia Pozzoli , Benjamin De Bruyne

The temperature-dependence of dynamical properties (e.g., the asymptotic diffusion coefficient and the sub-diffusive exponent) are calculated for charges and excitons in one-dimensional systems subject to static and dynamic disorder. These…

Chemical Physics · Physics 2025-12-02 William Barford
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