Domain wall melting in the spin-
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 XXZ spin chain: Emergent Luttinger liquid with a fractal quasiparticle charge

Collura, Mario; Luca, Andrea De; Calabrese, Pasquale; Dubail, Jérôme

doi:10.1103/physrevb.102.180409

Cited by 40 publications

(40 citation statements)

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“…31 for a pictorial illustration of the setting. Relevant examples, extensively studied in the literature, include the sudden junction of two half chains prepared at different temperatures [see, e.g., (Aschbacher and Barbaroux, 2006;Aschbacher and Pillet, 2003;Bertini and Piroli, 2018;Bertini et al, 2019;Bhaseen et al, 2015;Biella et al, 2016;Castro-Alvaredo et al, 2014, 2016Collura and Karevski, 2014;Collura and Martelloni, 2014;De Luca et al, 2015, 2014Doyon et al, 2015;Eisler and Zimborás, 2014;Karevski and Schütz, 2019;Karrasch et al, 2013c;Kormos, 2017;Mazza et al, 2018;Mestyán et al, 2019;Nozawa and Tsunetsugu, 2020;Ogata, 2002;] or at different averaged magnetizations (or filling) [see, e.g., (Alba and Heidrich-Meisner, 2014;Antal et al, 2008Antal et al, , 1998Antal et al, , 1999Calabrese et al, 2008;Collura et al, 2018Collura et al, , 2020De Luca et al, 2017;Eisler et al, 2016;Eisler and Rácz, 2013;Gobert et al, 2005;Hauschild et al, 2015;Ljubotina et al, 2017;Misguich et al, 2017;Piroli et al, 2017;…”

Section: B Bipartitioning Protocolsmentioning

confidence: 99%

Finite-temperature transport in one-dimensional quantum lattice models

et al. 2021

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Section: B Bipartitioning Protocolsmentioning

confidence: 99%

Finite-temperature transport in one-dimensional quantum lattice models

et al. 2021

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“…While we have focused on one particular protocol, more general settings can be analyzed using the same approach, including non-zero magnetic fields, trapping potentials or geometric quenches [79]. As a follow up, it would also important to quantify the effect of quantum fluctuations on top of the GHD solution, adapting recent approaches for Bose gases and spin-chains [80][81][82][83][84]. Overall, our work shows how GHD is capable of predicting SCS effects in interacting multicomponent quantum gases in versatile experimentally-relevant situations.…”

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confidence: 99%

Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics

2021

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We revisit early suggestions to observe spin-charge separation in cold-atom settings in the time domain by studying one-dimensional repulsive Fermi gases in a harmonic potential, where pulse perturbations are initially created at the center of the trap. We analyze the subsequent evolution using Generalized Hydrodynamics (GHD), which provides an exact description, at large space-time scales, for arbitrary temperature T , particle density, and interactions. At T = 0 and vanishing magnetic field, we find that, after a non-trivial transient regime, spin and charge dynamically decouple up to perturbatively small corrections which we quantify. In this limit, our results can be understood based on a simple phase-space hydrodynamic picture. At finite temperature, we solve numerically the GHD equations, showing that for low T > 0 effects of spin-charge separation survive, and characterize explicitly the value of T for which the two distinguishable excitations melt.

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“…There CFT methods were exploited in Ref. [260] to analytically characterise the leading behaviour of the entanglement entropy. Moreover, in some cases, K has been observed to vary very slowly [261] and therefore it is still possible to rely on conformal symmetry to get analytic results.…”

Section: Inhomogeneous Luttinger Liquid For Generic Interaction Strengthmentioning

confidence: 99%

Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects

Alba,

Bertini,

Fagotti

et al. 2021

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We give a pedagogical introduction to the Generalized Hydrodynamic approach to inhomogeneous quenches in integrable many-body quantum systems. We review recent applications of the theory, focusing in particular on two classes of problems: bipartitioning protocols and trap quenches, which represent two prototypical examples of broken translational symmetry in either the system initial state or post-quench Hamiltonian. We report on exact results that have been obtained for generic time-dependent correlation functions and entanglement evolution, and discuss in detail the range of applicability of the theory. Finally, we present some open questions and suggest perspectives on possible future directions.

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Domain wall melting in the spin- 12 XXZ spin chain: Emergent Luttinger liquid with a fractal quasiparticle charge

Cited by 40 publications

References 103 publications

Finite-temperature transport in one-dimensional quantum lattice models

Finite-temperature transport in one-dimensional quantum lattice models

Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics

Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects

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