Transport and entanglement growth in long-range random Clifford circuits

verfasst von

Jonas Richter, Oliver Lunt, Arijeet Pal

Abstract

Conservation laws can constrain entanglement dynamics in isolated quantum systems, manifest in a slowdown of higher Rényi entropies. Here, we explore this phenomenon in a class of long-range random Clifford circuits with U(1) symmetry where transport can be tuned from diffusive to superdiffusive. We unveil that the different hydrodynamic regimes reflect themselves in the asymptotic entanglement growth according to S(t)∝ t1/z where the dynamical transport exponent z depends on the probability ∝ r-α of gates spanning a distance r. For sufficiently small α, we show that the presence of hydrodynamic modes becomes irrelevant such that S(t) behaves similarly in circuits with and without conservation law. We explain our findings in terms of the inhibited operator spreading in U(1)-symmetric Clifford circuits where the emerging light cones can be understood in the context of classical Lévy flights. Our Letter sheds light on the connections between Clifford circuits and more generic many-body quantum dynamics.

Organisationseinheit(en)

Institut für Theoretische Physik

Externe Organisation(en)

University College London (UCL)
Stanford University
King's College London
University of Birmingham

Typ

Artikel

Journal

Physical Review Research

Band

5

Anzahl der Seiten

8

ISSN

2643-1564

Publikationsdatum

03.03.2023

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Allgemeine Physik und Astronomie

Elektronische Version(en)

https://doi.org/10.48550/arXiv.2205.06309 (Zugang: Offen)
https://doi.org/10.1103/PhysRevResearch.5.L012031 (Zugang: Offen)