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We study the energy transport between two interacting spin chains which are initially separated, held at different temperatures and subsequently put in contact. We consider the spin-1/2 XXZ model in the gapless regime and exploit its…

Statistical Mechanics · Physics 2014-10-15 Andrea De Luca , Jacopo Viti , Leonardo Mazza , Davide Rossini

We study energy transport in XXZ spin chains driven to nonequilibrium configurations by thermal reservoirs of different temperatures at the boundaries. We discuss the transition between diffusive and subdiffusive transport regimes in…

Disordered Systems and Neural Networks · Physics 2019-03-25 Juan Jose Mendoza-Arenas , Marko Znidaric , Vipin Kerala Varma , John Goold , Stephen R. Clark , Antonello Scardicchio

We study energy transport in the integrable $\mathbb Z_3$ parafermionic chain using the partitioning protocol. By exploiting the Bethe-ansatz solution for the thermodynamics of the system, we develop a generalized hydrodynamic description…

Strongly Correlated Electrons · Physics 2018-08-29 Leonardo Mazza , Jacopo Viti , Matteo Carrega , Davide Rossini , Andrea De Luca

In this work we analyze the simultaneous emergence of diffusive energy transport and local thermalization in a nonequilibrium one-dimensional quantum system, as a result of integrability breaking. Specifically, we discuss the local…

Statistical Mechanics · Physics 2016-11-21 J. J. Mendoza-Arenas , S. R. Clark , D. Jaksch

This work studies heat transport of bond-disordered spin-1/2 chains. As an example, the XX case is analyzed, which corresponds to a model of noninteracting spinless fermions. Within the fermion representation, the single-particle…

Strongly Correlated Electrons · Physics 2007-05-23 Fabian Heidrich-Meisner

Using the micro-canonical picture of transport -- a framework ideally suited to describe the dynamics of closed quantum systems such as ultra-cold atom experiments -- we show that the exact dynamics of non-interacting fermions and bosons…

Quantum Gases · Physics 2012-04-11 Chih-Chun Chien , Michael Zwolak , Massimiliano Di Ventra

We present numerical results for the spin and thermal conductivity of one-dimensional (1D) quantum spin systems. We contrast the properties of integrable models such as the spin-1/2 XXZ chain against nonintegrable ones such as frustrated…

Strongly Correlated Electrons · Physics 2008-01-09 F. Heidrich-Meisner , A. Honecker , W. Brenig

Many low-dimensional materials are well described by integrable one-dimensional models such as the Hubbard model of electrons or the Heisenberg model of spins. However, the small perturbations to these models required to describe real…

Strongly Correlated Electrons · Physics 2013-10-02 Y. Huang , C. Karrasch , J. E. Moore

We consider bosonic transport through one-dimensional spin systems. Transport is induced by coupling the spin systems to bosonic reservoirs kept at different temperatures. In the limit of weak-coupling between spins and bosons we apply the…

Statistical Mechanics · Physics 2014-05-26 Gernot Schaller , Malte Vogl , Tobias Brandes

We study heat transport in a one-dimensional inhomogeneous quantum spin 1/2 system. It consists of a finite-size XX spin chain coupled at its ends to semi-infinite XX and XY chains at different temperatures, which play the role of heat and…

Strongly Correlated Electrons · Physics 2015-05-13 Liliana Arrachea , Gustavo S. Lozano , A. A. Aligia

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

Transport phenomena are central to physics, and transport in the many-body and fully-quantum regime is attracting an increasing amount of attention. It has been recently revealed that some quantum spin chains support ballistic transport of…

Statistical Mechanics · Physics 2019-10-25 Alberto Biella , Mario Collura , Davide Rossini , Andrea De Luca , Leonardo Mazza

We expand iterative numerically-exact influence functional path-integral tools and present a method capable of following the nonequilibrium time evolution of subsystems coupled to multiple bosonic and fermionic reservoirs simultaneously.…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Lena Simine , Dvira Segal

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

We study spin transport in a boundary driven XXZ spin chain. Driving at the chain boundaries is modeled by two additional spin chains prepared in oppositely polarized states. Emergent behavior, both in the transient dynamics and in the…

Quantum Physics · Physics 2017-12-21 Eduardo Mascarenhas , Giacomo Giudice , Vincenzo Savona

We study transport of local magnetization in a Heisenberg spin-1/2 chain at zero temperature. The system is initially prepared in a highly excited pure state far from equilibrium and its evolution is analyzed via exact diagonalization.…

Statistical Mechanics · Physics 2015-05-13 L. F. Santos

In this Chapter, we present recent theoretical developments on the finite temperature transport of one dimensional electronic and magnetic quantum systems as described by a variety of prototype models. In particular, we discuss the…

Strongly Correlated Electrons · Physics 2007-05-23 X. Zotos , P. Prelovsek

We consider the non-equilibrium time evolution of piecewise homogeneous states in the XXZ spin-1/2 chain, a paradigmatic example of an interacting integrable model. The initial state can be thought as the result of joining chains with…

Statistical Mechanics · Physics 2016-11-28 Bruno Bertini , Mario Collura , Jacopo De Nardis , Maurizio Fagotti

We investigate transport in several translationally invariant spin-1/2 chains in the limit of high temperatures. We concretely consider spin transport in the anisotropic Heisenberg chain, the pure Heisenberg chain within an alternating…

Statistical Mechanics · Physics 2009-11-03 Robin Steinigeweg , Jochen Gemmer

Quantum energy transfer in a chain of two-level (spin) units, connected at its ends to two thermal reservoirs, is analyzed in two limits: (i) In the off-resonance regime, when the characteristic subsystem excitation energy gaps are larger…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Claire X. Yu , Lian-Ao Wu , Dvira Segal
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