TY - JOUR
T1 - Logarithmic Entanglement Growth from Disorder-Free Localization in the Two-Leg Compass Ladder
AU - Hart, Oliver
AU - Gopalakrishnan, Sarang
AU - Castelnovo, Claudio
N1 - Funding Information:
We would like to thank Pasquale Calabrese, Maurizio Fagotti, Max McGinley, Vadim Oganesyan, and Giuseppe De Tomasi for useful discussions. 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 (C. C. and O. H.). S. G. was supported in part by NSF Grant No. DMR-1653271. The simulations were performed using resources provided by the Cambridge Service for Data Driven Discovery (CSD3) operated by the University of Cambridge Research Computing Service (www.csd3.cam.ac.uk), provided by Dell EMC and Intel using Tier-2 funding from the Engineering and Physical Sciences Research Council (Capital Grant No. EP/P020259/1), and DiRAC funding from the Science and Technology Facilities Council (www.dirac.ac.uk).
Publisher Copyright:
© 2021 American Physical Society.
PY - 2021/6/4
Y1 - 2021/6/4
N2 - 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 many-body localization.
AB - 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 many-body localization.
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U2 - 10.1103/PhysRevLett.126.227202
DO - 10.1103/PhysRevLett.126.227202
M3 - Article
C2 - 34152181
AN - SCOPUS:85107744836
SN - 0031-9007
VL - 126
JO - Physical review letters
JF - Physical review letters
IS - 22
M1 - 227202
ER -