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Conservation laws can constrain entanglement dynamics in isolated quantum systems, manifest in a slowdown of higher R\'enyi entropies. Here, we explore this phenomenon in a class of long-range random Clifford circuits with U$(1)$ symmetry…

Statistical Mechanics · Physics 2023-03-06 Jonas Richter , Oliver Lunt , Arijeet Pal

In systems with a conserved density, the additional conservation of the center of mass (dipole moment) has been shown to slow down the associated hydrodynamics. At the same time, long-range interactions generally lead to faster transport…

Statistical Mechanics · Physics 2023-07-27 Alan Morningstar , Nicholas O'Dea , Jonas Richter

This work investigates the out-of-equilibrium dynamics of dipole and higher-moment conserving systems with long-range interactions, drawing inspiration from trapped ion experiments in strongly tilted potentials. We introduce a hierarchical…

Statistical Mechanics · Physics 2023-11-14 Jacopo Gliozzi , Julian May-Mann , Taylor L. Hughes , Giuseppe De Tomasi

We investigate an explicit example of how spatial decoherence can lead to hydrodynamic behavior in the late-time, long-wavelength regime of open quantum systems. We focus on the case of a single non-relativistic quantum particle linearly…

Statistical Mechanics · Physics 2025-12-17 Zhi-Li Zhou , Mauricio Hippert , Nicki Mullins , Jorge Noronha

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

Using a numerically exact technique we study spin transport and the evolution of spin-density excitation profiles in a disordered spin-chain with long-range interactions, decaying as a power-law, $r^{-\alpha}$ with distance and $\alpha<2$.…

Disordered Systems and Neural Networks · Physics 2020-09-02 Benedikt Kloss , Yevgeny Bar Lev

We analyze an open many-body system that is strongly coupled at its boundaries to interacting quantum baths. We show that the two-body interactions inside the baths induce emergent phenomena in the spin transport. The system and baths are…

Quantum Physics · Physics 2017-10-24 Juris Reisons , Eduardo Mascarenhas , Vincenzo Savona

We calculate a nonequilibrium steady state of a quantum XX chain in the presence of dephasing and driving due to baths at chain ends. The obtained state is exact in the limit of weak driving while the expressions for one- and two-point…

Statistical Mechanics · Physics 2012-03-06 Marko Znidaric

Superdiffusive transport with dynamical exponent $z=3/2$ has been firmly established at finite temperature for a class of integrable systems with a non-abelian global symmetry $G$. On the inclusion of integrability-breaking perturbations,…

Statistical Mechanics · Physics 2025-09-25 Kevin Wang , Joel E. Moore

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 show that hydrodynamic diffusion is generically present in many-body interacting integrable models. We extend the recently developed generalised hydrodynamic (GHD) to include terms of Navier-Stokes type which lead to positive entropy…

Statistical Mechanics · Physics 2018-10-19 Jacopo De Nardis , Denis Bernard , Benjamin Doyon

We experimentally, numerically and analytically explore the diffusive transport of active colloidal particles with sensory delay, navigating motility landscapes in which the self-propulsion speed depends on space. We show how the transport…

Statistical Mechanics · Physics 2026-04-29 Adrià Garcés , Ueli Töpfer , Lucio Isa , Demian Levis , Ignacio Pagonabarraga

The common perception is that strong coupling to the environment will always render the evolution of the system density matrix quasi-classical (in fact, diffusive) in the long time limit. We present here a counter-example, in which a…

Other Condensed Matter · Physics 2007-05-23 Nikolay Prokof'ev , Philip Stamp

Harnessing spins as carriers for information has emerged as an elegant extension to the transport of electrical charges. The coherence of such spin transport in spintronic circuits is determined by the lifetime of spin excitations and by…

Quantum Gases · Physics 2014-07-24 Marco Koschorreck , Daniel Pertot , Enrico Vogt , Michael Köhl

We study the finite-temperature dynamical spin susceptibility of the one-dimensional (generalized) anisotropic Heisenberg model within the hydrodynamic regime of small wave vectors and frequencies. Numerical results are analyzed using the…

Strongly Correlated Electrons · Physics 2012-09-10 J. Herbrych , R. Steinigeweg , P. Prelovšek

We show that in classical spin systems the precise nature of the late-time hydrodynamic tails of the autocorrelation functions of a generic observable is determined by (i) the dynamical critical exponent and (ii) the equilibrium…

Statistical Mechanics · Physics 2025-09-05 Jiaozi Wang , Luca Capizzi , Dario Poletti , Leonardo Mazza

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 investigate entropy transport for universal scaling phenomena in closed quantum many-body systems far from equilibrium. From spatially resolved experimental data of a spinor Bose gas, we demonstrate that entropy decreases on…

Quantum Gases · Physics 2025-11-03 J. Marijan , H. Strobel , M. K. Oberthaler , J. Berges

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

The ratio between the shear viscosity and the entropy $\eta/s$ is considered a universal measure of the strength of interactions in quantum systems. This quantity was conjectured to have a universal lower bound $(1/4\pi)\hbar/k_{B}$, which…

Strongly Correlated Electrons · Physics 2021-07-07 Sang Wook Kim , Geo Jose , Bruno Uchoa