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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

Driven particle transport in crowded and confining environments is fundamental to diverse phenomena across physics, chemistry, and biology. A main objective in studying such systems is to identify novel emergent states and phases of…

Statistical Mechanics · Physics 2026-02-23 Annika Vonhusen , Sören Schweers , Artem Ryabov , Philipp Maass

We find an exact nonequilibrium steady state of an open dissipatively driven XXZ spin-1/2 chain with source or sink spin bath at one end and an arbitrary boundary field at the other end.

Statistical Mechanics · Physics 2026-04-20 V. Popkov , T. Prosen

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

We consider thermal transport between two reservoirs coupled by a quantum Ising chain as a model for non-equilibrium physics induced in quantum-critical many-body systems. By deriving rate equations based on exact expressions for the…

Statistical Mechanics · Physics 2012-12-13 Malte Vogl , Gernot Schaller , Tobias Brandes

We investigate the transport of energy, magnetization, etc. in several finite one-dimensional (1D) quantum systems only by solving the corresponding time-dependent Schroedinger equation. We explicitly renounce on any other…

Statistical Mechanics · Physics 2007-05-23 Robin Steinigeweg , Jochen Gemmer , Mathias Michel

We propose and analyze an efficient high-dimensional quantum state transfer scheme through an $XXZ$-Heisenberg spin chain in an inhomogeneous magnetic field. By the use of a combination of coherent quantum coupling and free spin-wave…

Quantum Physics · Physics 2015-10-27 Zhe Yang , Ming Gao , Wei Qin

We investigate phase transitions in the nonequilibrium dynamics of power-law interacting spin-1/2 bilayer XXZ models, which have recently been shown to allow generation of entanglement in the form of two-mode squeezing. We find a transition…

Quantum Physics · Physics 2025-12-11 Arman Duha , S. E. Begg , Thomas Bilitewski

We review recent advances in experimental and theoretical understanding of spin transport in strongly interacting Fermi gases. The central new phenomenon is the observation of a lower bound on the (bare) spin diffusivity in the strongly…

Quantum Gases · Physics 2019-03-13 Tilman Enss , Joseph H. Thywissen

We study spin transport in the one-dimensional anisotropic S = 1 Heisenberg model. Particular emphasis is given to dynamics at infinite temperature, where current autocorrelations and spatio-temporal correlation functions are obtained by…

Statistical Mechanics · Physics 2019-10-16 Jonas Richter , Niklas Casper , Wolfram Brenig , Robin Steinigeweg

The quantum XXZ spin model with alternating bond strengths under magnetic field has a rich equilibrium phase diagram which includes Haldane, Luttinger liquid, singlet, and paramagnetic phases. We show that the nearest neighbor bipartite and…

Quantum Physics · Physics 2021-12-23 Keshav Das Agarwal , Leela Ganesh Chandra Lakkaraju , Aditi Sen De

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 study the protocol known as quantum state transfer for a strongly coupled antiferromagnetic spin chain or ring (acting as a spin bus), with weakly coupled external qubits. By treating the weak coupling as a perturbation, we find that…

Quantum Physics · Physics 2013-04-25 Sangchul Oh , Lian-Ao Wu , Yun-Pil Shim , Mark Friesen , Xuedong Hu

The laws of thermodynamics require any initial macroscopic inhomogeneity in extended many-body systems to be smoothed out by the time evolution through the activation of transport processes. In generic, non-integrable quantum systems,…

Statistical Mechanics · Physics 2019-06-24 Paolo Pietro Mazza , Gabriele Perfetto , Alessio Lerose , Mario Collura , Andrea Gambassi

We address spin transport in the easy-axis Heisenberg spin chain subject to integrability-breaking perturbations. We find that spin transport is subdiffusive with dynamical exponent $z=4$ up to a timescale that is parametrically long in the…

Statistical Mechanics · Physics 2022-08-23 Jacopo De Nardis , Sarang Gopalakrishnan , Romain Vasseur , Brayden Ware

We study the anisotropic Heisenberg (XYZ) spin-1/2 chain placed in a magnetic field pointing along the x-axis. We use bosonization and a renormalization group analysis to show that the model has a non-trivial fixed point at a certain value…

Strongly Correlated Electrons · Physics 2009-11-10 Amit Dutta , Diptiman Sen

We pioneerly investigate the non-equilibrium transport near a quantum phase transition in a generic and relatively simple case model, the dissipative resonant level model, that has many ramifications in nanosystems. We formulate a rigorous…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Chung-Hou Chung , Karyn Le Hur , Matthias Vojta , Peter Wölfle

We investigate the nonequilibrium steady state (NESS) in an open quantum XXZ chain with strong $XY$ plane boundary polarization gradient. Using the general theory developed in [1], we show that in the critical $XXZ$ $|\Delta|<1$ easy plane…

Quantum Physics · Physics 2017-09-27 Vladislav Popkov , Johannes Schmidt , Carlo Presilla

We study the dynamics of a two-level quantum system interacting with an external environment that takes the form of an XY spin chain in the presence of an external magnetic field. While the presence of the bath itself can enhance the…

Quantum Physics · Physics 2012-11-22 Gian Luca Giorgi , Thomas Busch

Quasiperiodic behaviour is known to occur in systems with enforced quasiperiodicity or randomness, in either the lattice structure or the potential, as well as in periodically driven systems. Here, we present instead a setting where…

Mesoscale and Nanoscale Physics · Physics 2023-02-10 Cecilie Glittum , Antonio Štrkalj , Claudio Castelnovo