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Anomalous transport in low dimensional spin chains is an intriguing topic that can offer key insights into the interplay of integrability and symmetry in many-body dynamics. Recent studies have shown that spin-spin correlations in spin…

Statistical Mechanics · Physics 2023-06-14 Dipankar Roy , Abhishek Dhar , Herbert Spohn , Manas Kulkarni

We investigate the heat transport in a nonequilibrium spin-boson model, where a two level system bridging two harmonic reservoirs at different temperatures, by employing a unitary transformation along with a resolvent operator expansion…

Quantum Physics · Physics 2020-06-24 Wei Wu

Following the nonequilibrium Green's function formalism we study the thermal transport in a composite chain subject to a time-dependent perturbation. The system is formed by two finite linear asymmetric harmonic chains subject to an on-site…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 N. Beraha , A. Soba , M. F. Carusela

We study thermal conductivity for one-dimensional electronic fluid. The many-body Hilbert space is partitioned into bosonic and fermionic sectors that carry the thermal current in parallel. For times shorter than bosonic Umklapp time, the…

Strongly Correlated Electrons · Physics 2019-05-23 R. Samanta , I. V. Protopopov , A. D. Mirlin , D. B. Gutman

Explicit energy-transport equations for the spinorial carrier transport in ferromagnetic semiconductors are calculated from a general spin energy-transport system that was derived by Ben Abdallah and El Hajj from a spinorial Boltzmann…

Analysis of PDEs · Mathematics 2016-04-20 Ansgar Jüngel , Polina Shpartko , Nicola Zamponi

We study the transport of energy in a finite linear harmonic chain by solving the Heisenberg equation of motion, as well as by using nonequilibrium Green's functions to verify our results. The initial state of the system consists of two…

Statistical Mechanics · Physics 2012-10-02 Eduardo C. Cuansing , Huanan Li , Jian-Sheng Wang

This work is devoted to the investigation of nontrivial transport properties in many-body quantum systems. Precisely, we study transport in the steady state of spin-1/2 Heisenberg XXZ chains, driven out of equilibrium by two magnetic baths…

Statistical Mechanics · Physics 2020-03-20 Alberto L. de Paula , Emmanuel Pereira , Raphael C. Drumond , M. C. O. Aguiar

We discuss a quantum typicality approach to examine systems composed of two subsystems at different temperatures. While dynamical quantum typicality is usually used to simulate high-temperature dynamics, we also investigate low-temperature…

Statistical Mechanics · Physics 2026-02-12 Laurenz Beckemeyer , Markus Kraft , Mariel Kempa , Dirk Schuricht , Robin Steinigeweg

We outline a general approach to the computation of transport properties of interacting systems at low temperetures and frequencies. We show that if the fixed point and the irrelevant operators around it are known, then by studying the…

Strongly Correlated Electrons · Physics 2009-11-10 Natan Andrei , Efrat Shimshoni , Achim Rosch

A recent work [Mierzejewski et al., Phys. Rev. B 107, 045134 (2023)] observed "quasiballistic spin transport" - long-lived and transiently ballistic modes of the magnetization density - in numerical simulations of infinite-temperature XXZ…

Statistical Mechanics · Physics 2025-12-15 Jeffrey Z. Song , Hyunsoo Ha , Wen Wei Ho , Vir B. Bulchandani

We apply the hierarchical equations of motion technique to analyzing nonequilibrium heat transport in a spin-boson type model, whereby heat transfer through a central spin is mediated by an intermediate pair of coupled harmonic oscillators.…

Mesoscale and Nanoscale Physics · Physics 2024-07-29 Graeme Pleasance , Francesco Petruccione

In integrable one-dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. For cases like the spin current in the XXZ model at zero magnetic field or the charge…

Strongly Correlated Electrons · Physics 2011-01-31 J. Sirker , R. G. Pereira , I. Affleck

We investigate the energy transport in a one-dimensional lattice of oscillators with a harmonic nearest neighbor coupling and a harmonic plus quartic on-site potential. As numerically observed for particular coupling parameters before, and…

Statistical Mechanics · Physics 2007-05-23 Kenichiro Aoki , Jani Lukkarinen , Herbert Spohn

Bosonic thermal transport through a two-level system is analyzed at temperatures below and comparable to the two-level energy splitting. It is shown that in the low-temperature regime transport is dominated by correlated two-boson processes…

Mesoscale and Nanoscale Physics · Physics 2011-01-27 Tomi Ruokola , Teemu Ojanen

The studies of this paper on the spin-1/2 XXZ chain at finite temperatures T>0 have two complementary goals. The first is to identify the spin carriers of all its Sq>0 energy eigenstates and to show that their spin elementary currents fully…

Strongly Correlated Electrons · Physics 2025-02-18 Jose M. P. Carmelo , Pedro D. Sacramento

We investigate the thermodynamics of simple (non-interacting) transport models beyond the scope of weak coupling. For a single fermionic or bosonic level -- tunnel-coupled to two reservoirs -- exact expressions for the stationary matter and…

Statistical Mechanics · Physics 2015-07-20 Gabriel E. Topp , Tobias Brandes , Gernot Schaller

We study the low-temperature transport properties of out-of-equilibrium XXZ spin-$1/2$ chains. We consider the protocol where two semi-infinite chains are prepared in two thermal states at small but different temperatures and suddenly…

Statistical Mechanics · Physics 2018-03-29 Bruno Bertini , Lorenzo Piroli

We study magnetization transport in anisotropic spin-$1/2$ chains governed by the integrable XXZ model with and without integrability-breaking perturbations at high temperatures ($T\to \infty$) using a hybrid approach that combines exact…

Strongly Correlated Electrons · Physics 2018-08-17 Ramsés J. Sánchez , Vipin Kerala Varma , Vadim Oganesyan

We use the concept of typicality to study the real-time dynamics of spin and energy currents in spin-1/2 models in one dimension and at nonzero temperatures. These chains are the integrable XXZ chain and a nonintegrable modification due to…

Strongly Correlated Electrons · Physics 2015-03-10 Robin Steinigeweg , Jochen Gemmer , Wolfram Brenig

We study the spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures using a time-dependent density matrix renormalization group method. System sizes are chosen large enough to…

Strongly Correlated Electrons · Physics 2015-06-18 C. Karrasch , J. E. Moore , F. Heidrich-Meisner