Logarithmic entanglement growth from disorder-free localisation in the two-leg compass ladder

ORAL

Abstract

We explore the finite-temperature dynamics of the quasi-1D orbital compass and plaquette Ising models. We map these systems onto a model of free fermions coupled to strictly localized spin-1/2 degrees of freedom. At finite temperature the localized degrees of freedom act as emergent disorder and localize the fermions. Although the model can be analyzed using free-fermion techniques, it has dynamical signatures in common with typical many-body localized systems: Starting from generic initial states, entanglement grows logarithmically; in addition, equilibrium dynamical correlation functions decay with an exponent that varies continuously with temperature and model parameters. These quasi-1D models offer an experimentally realizable setting in which natural dynamical probes show signatures of disorder-free localization.

*This work was supported in part by the Engineering and Physical Sciences Research Council (EPSRC) Grants No. EP/K028960/1, No. EP/M007065/1 and No. EP/P034616/1 (CC and OH).

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Presenters

  • Oliver Hart

    • T.C.M. Group, Cavendish Laboratory, JJ Thomson Avenue, Cambridge CB3 0HE, United Kingdom

Authors

  • Oliver Hart

    • T.C.M. Group, Cavendish Laboratory, JJ Thomson Avenue, Cambridge CB3 0HE, United Kingdom

  • Sarang Gopalakrishnan

    • Dept. of Physics and Astronomy, College of Staten Island, City University of New York
    • CUNY College of Staten Island
    • Physics, CUNY College of Staten Island
    • The Graduate Center, CUNY
    • Department of Physics and Astronomy, CUNY College of Staten Island
    • CUNY College of Staten Island, CUNY Graduate Center
    • Physics and Astronomy, CUNY-CSI
    • Graduate Center, CUNY, New York, NY 10016, USA; Physics and Astronomy, College of Staten Island, Staten Island, NY 10314, USA

  • Claudio Castelnovo

    • Univ of Cambridge
    • TCM, University of Cambridge
    • University of Cambridge
    • T.C.M. Group, Cavendish Laboratory, JJ Thomson Avenue, Cambridge CB3 0HE, United Kingdom