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Universal nonequilibrium properties of isolated quantum systems are typically probed by studying transport of conserved quantities, such as charge or spin, while transport of energy has received considerably less attention. Here, we study…

Statistical Mechanics · Physics 2023-03-09 Marko Ljubotina , Jean-Yves Desaules , Maksym Serbyn , Zlatko Papić

We use tools from integrability and generalized hydrodynamics to study finite-temperature dynamics in the one-dimensional Hubbard model. First, we examine charge, spin, and energy transport away from half-filling and zero magnetization,…

Statistical Mechanics · Physics 2020-09-17 Michele Fava , Brayden Ware , Sarang Gopalakrishnan , Romain Vasseur , S. A. Parameswaran

We investigate finite temperature spin transport in one spatial dimension by considering the spin-spin correlation function of the Hubbard model in the limiting case of infinitely strong repulsion. We find that in the absence of bias the…

Strongly Correlated Electrons · Physics 2023-08-30 Oleksandr Gamayun , Arthur Hutsalyuk , Balázs Pozsgay , Mikhail B. Zvonarev

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

A microscopic analysis of the superconducting quantum critical point realized via a pair-breaking quantum phase transition is presented. Finite temperature crossovers are derived for the electrical conductivity, which is a key probe of…

Superconductivity · Physics 2007-09-19 N. Shah , A. V. Lopatin

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 investigate a one-dimensional water-like lattice model with Van der Waals and hydrogen-bond interactions, allowing for particle number fluctuations through a chemical potential. The model, defined on a chain with periodic boundary…

Statistical Mechanics · Physics 2025-11-25 F. F. Braz , S. M. de Souza , M. L. Lyra , Onofre Rojas

We study a recently discussed XX spin chain with non-local dephasing [arXiv:2310.03069] in a steady-state boundary-driven setting, confirming superdiffusive magnetization transport in the thermodynamic limit. The emergence of superdiffusion…

Strongly Correlated Electrons · Physics 2024-02-07 Marko Znidaric

The conventional wisdom suggests that transports of conserved quantities in non-integrable quantum many-body systems at high temperatures are diffusive. However, we discover a counterexample of this paradigm by uncovering anomalous…

Quantum Physics · Physics 2024-03-27 Ang Yang , Jinlou Ma , Lei Ying

Studies relying on hydrodynamic theory and Kardar-Parisi-Zhang (KPZ) scaling have found that in the one-dimensional Hubbard model spin and charge transport are for all temperatures T > 0 anomalous superdiffusive at zero magnetic field, h =…

Strongly Correlated Electrons · Physics 2025-07-04 J. M. P. Carmelo , P. D. Sacramento

The large-scale dynamics of quantum integrable systems is often dominated by ballistic modes due to the existence of stable quasi-particles. We here consider as an archetypical example for such a system the spin-$\frac{1}{2}$ XXX Heisenberg…

Statistical Mechanics · Physics 2020-01-15 Felix Weiner , Peter Schmitteckert , Soumya Bera , Ferdinand Evers

The stranglehold of low temperatures on fascinating quantum phenomena in one-dimensional quantum magnets has been challenged recently by the discovery of anomalous spin transport at high temperatures. Whereas both regimes have been…

Strongly Correlated Electrons · Physics 2021-09-01 Maxime Dupont , Nicholas E. Sherman , Joel E. Moore

Using quantum gas microscopy we study the late-time effective hydrodynamics of an isolated cold-atom Fermi-Hubbard system subject to an external linear potential (a "tilt"). The tilt is along one of the principal directions of the…

We study finite-temperature magnetization transport in a one-dimensional anisotropic Heisenberg model, focusing in particular on the gapped phase. Using numerical simulations by two different methods, a propagation of localized wavepackets…

Strongly Correlated Electrons · Physics 2011-11-30 Simon Jesenko , Marko Znidaric

We present a combined theory-experiment study to quantify spin diffusion in the square lattice quantum spin-1/2 XY model at finite temperature. On the theory side, we leverage a recently developed dynamical high-temperature expansion method…

The use of hydrodynamic transport theory seems to indicate that the charge diffusion constant D of the one-dimensional (1D) half-filled Hubbard model, whose Drude weight vanishes, diverges for temperature T>0, which would imply anomalous…

Strongly Correlated Electrons · Physics 2024-11-19 J. M. P. Carmelo , P. D. Sacramento

We provide molecular dynamics simulation of heat transport and thermal energy diffusion in one-dimensional molecular chains with different interparticle pair potentials at zero and non-zero temperature. We model the thermal conductivity…

Mesoscale and Nanoscale Physics · Physics 2015-09-11 Yuriy A. Kosevich , Alexander V. Savin

Using a general representation that accounts for the effects on finite-temperature spin and charge transport of the global [SU (2) X SU(2) X U(1)]/(Z2 X Z2) symmetry of the one-dimensional (1D) Hubbard model, we show that important…

Strongly Correlated Electrons · Physics 2025-03-28 J. M. P. Carmelo , J. E. C. Carmelo

We study the transport dynamics of an interacting tilted (Stark) chain. We show that the crossover between diffusive and subdiffusive dynamics is governed by $F\sqrt{L}$, where $F$ is the strength of the field, and $L$ is the wave-length of…

Strongly Correlated Electrons · Physics 2025-01-09 S. Nandy , J. Herbrych , Z. Lenarčič , A. Głódkowski , P. Prelovšek , M. Mierzejewski

We study heat conduction in a one-dimensional {finite}, unpinned chain of atoms perturbed by stochastic momentum exchange and coupled to Langevin heat baths at {possibly} distinct temperatures placed at the endpoints of the chain. While…

Mathematical Physics · Physics 2025-12-05 Tomasz Komorowski , Stefano Olla
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