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Finite-temperature spin transport in the quantum Heisenberg spin chain is known to be superdiffusive, and has been conjectured to lie in the Kardar-Parisi-Zhang (KPZ) universality class. Using a kinetic theory of transport, we compute the…

Statistical Mechanics · Physics 2020-08-13 Jacopo De Nardis , Sarang Gopalakrishnan , Enej Ilievski , Romain Vasseur

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 conduct a comprehensive study of anomalous charge transport in the quantum sine--Gordon model. Employing the framework of Generalized Hydrodynamics, we compute Drude weights and Onsager matrices across a wide range of coupling strengths…

Statistical Mechanics · Physics 2026-01-23 Frederik Møller , Botond C. Nagy , Márton Kormos , Gábor Takács

We consider charge and spin transport in the one-dimensional Hubbard model at infinite temperature, half-filling and zero magnetization. Implementing matrix-product-operator simulations of the non-equilibrium steady states of…

Strongly Correlated Electrons · Physics 2013-04-09 Tomaz Prosen , Marko Znidaric

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

In this contribution we review the theory of integrability of quantum systems in one spatial dimension. We introduce the basic concepts such as the Yang-Baxter equation, commuting currents, and the algebraic Bethe ansatz. Quite extensively…

Strongly Correlated Electrons · Physics 2009-11-11 Andreas Klümper

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 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

Harnessing power-law interactions ($1/r^\alpha$) in a large variety of physical systems are increasing. We study the dynamics of chiral spin chains as a possible multi-directional quantum channel. This arises from the nonlinear character of…

Strongly Correlated Electrons · Physics 2022-06-13 Javad Vahedi

Symmetries strongly influence transport properties of quantum many-body systems, and can lead to deviations from the generic case of diffusion. In this work, we study the impact of time-reversal symmetry breaking on the transport and its…

Statistical Mechanics · Physics 2025-11-03 Cristiano Muzzi , Devendra Singh Bhakuni , Marcello Dalmonte , Lenart Zadnik , Hernan B. Xavier

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

We study spin transport of the XXZ model with next-nearest neighbor $\Delta_2$ terms. We compute numerically dependence of spin conductivity $\sigma(\omega)$ on the anisotropy $\Delta$ and the ratio $r= \Delta_2/\Delta$, in the large…

Strongly Correlated Electrons · Physics 2025-04-29 Zhi-Hua Li

We study a chaotic particle-conserving kinetically constrained model, with a single parameter which allows us to break reflection symmetry. Through extensive numerical simulations we find that the domain wall state shows a variety of…

Quantum Physics · Physics 2026-02-03 Pietro Brighi , Marko Ljubotina

We study the finite-momentum spin dynamics in the one-dimensional XXZ spin chain within the Ising-type regime at high temperatures using density autocorrelations within linear response theory and real-time propagation of nonequilibrium…

Strongly Correlated Electrons · Physics 2012-06-12 R. Steinigeweg , J. Herbrych , P. Prelovšek , M. Mierzejewski

We consider the ballistic transport of quasiparticles with exclusion statistics through a 1D wire within the Landauer-Buttiker approach. We demonstrate that quasiparticle transport coefficients (electrical and heat conductance, as well as…

Condensed Matter · Physics 2009-10-31 I. V. Krive , E. R. Mucciolo

Generic short-range interacting quantum systems with a conserved quantity exhibit universal diffusive transport at late times. We employ non-equilibrium quantum field theory and semi-classical phase-space simulations to show how this…

Quantum Gases · Physics 2020-12-15 Alexander Schuckert , Izabella Lovas , Michael Knap

In the spin energy excitation mode of normal metals and superconductors, spin up and down electrons (or quasiparticles) carry different heat currents. This mode occurs only when spin up and down energy distribution functions are…

Mesoscale and Nanoscale Physics · Physics 2020-01-14 M. Kuzmanović , B. Y. Wu , M. Weideneder , C. H. L. Quay , M. Aprili

Semi-Dirac semimetals have received enthusiastic research both theoretically and experimentally in the recent years. Due to the anisotropic dispersion, its physical properties are highly direction-dependent. In this work we employ the…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Shihao Bi , Yiting Deng , Yan He , Peng Li

We show that in a nonintegrable spin ladder system with the XX type of coupling along the legs and the XXZ type along the rungs there are invariant subspaces that support ballistic magnetization transport. In the complementary subspace the…

Strongly Correlated Electrons · Physics 2013-02-26 Marko Znidaric

We introduce a class of interacting fermionic quantum models in $d$ dimensions with nodal interactions that exhibit superdiffusive transport. We establish non-perturbatively that the nodal structure of the interactions gives rise to…

Statistical Mechanics · Physics 2025-10-27 Yu-Peng Wang , Jie Ren , Sarang Gopalakrishnan , Romain Vasseur