Scrambling and thermalization in a diffusive quantum many-body system

Bohrdt, A.; Mendl, C. B.; Endres, M.; Knap, M.

doi:10.1088/1367-2630/aa719b

Title: Scrambling and thermalization in a diffusive quantum many-body system

Journal Article · Fri Jun 02 00:00:00 EDT 2017 · New Journal of Physics

DOI:https://doi.org/10.1088/1367-2630/aa719b· OSTI ID:1369417

Bohrdt, A. ^[1];

^[2]; Endres, M. ^[3]; Knap, M. ^[4]

Technical Univ. of Munich, Garching (Germany); Harvard Univ., Cambridge, MA (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)
California Inst. of Technology (CalTech), Pasadena, CA (United States)
Technical Univ. of Munich, Garching (Germany)

Out-of-time ordered (OTO) correlation functions describe scrambling of information in correlated quantum matter. They are of particular interest in incoherent quantum systems lacking well defined quasi-particles. Thus far, it is largely elusive how OTO correlators spread in incoherent systems with diffusive transport governed by a few globally conserved quantities. Here, we study the dynamical response of such a system using high-performance matrix-product-operator techniques. Specifically, we consider the non-integrable, one-dimensional Bose–Hubbard model in the incoherent high-temperature regime. Our system exhibits diffusive dynamics in time-ordered correlators of globally conserved quantities, whereas OTO correlators display a ballistic, light-cone spreading of quantum information. The slowest process in the global thermalization of the system is thus diffusive, yet information spreading is not inhibited by such slow dynamics. We furthermore develop an experimentally feasible protocol to overcome some challenges faced by existing proposals and to probe time-ordered and OTO correlation functions. As a result, our study opens new avenues for both the theoretical and experimental exploration of thermalization and information scrambling dynamics.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76SF00515; KN 1254/1-1; 291763

OSTI ID:: 1369417

Journal Information:: New Journal of Physics, Vol. 19, Issue 6; ISSN 1367-2630

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 167 works

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