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Published July 1, 2014 | Published + Submitted
Journal Article Open

Out-of-equilibrium dynamics and thermalization of string order

Abstract

We investigate the equilibration dynamics of string order in one-dimensional quantum systems. After initializing a spin-1 chain in the Haldane phase, the time evolution of nonlocal correlations following a sudden quench is studied by means of matrix-product-state-based algorithms. Thermalization occurs only for scales up to a horizon growing at a well defined speed, due to the finite maximal velocity at which string correlations can propagate, related to a Lieb-Robinson bound. The persistence of string ordering at finite times is nontrivially related to symmetries of the quenched Hamiltonian. A qualitatively similar behavior is found for the string order of the Mott insulating phase in the Bose-Hubbard chain. This paves the way towards an experimental testing of our results in present cold-atom setups.

Additional Information

©.2014 American Physical Society. Received 11 November 2013; revised manuscript received 3 May 2014; published 11 July 2014. We thank P. Calabrese and V. Giovannetti for invaluable support. We also acknowledge enlightening discussions with E. Altman, M. C. Bañuls, M. Roncaglia, A. Silva, and L. Tagliacozzo. This work was supported by EU (IP-SIQS), by Italian MIUR via PRIN Project 2010LLKJBX and via FIRB Project RBFR12NLNA, and by Regione Toscana POR FSE 2007-2013. M.E. thanks Scuola Normale Superiore for hospitality.

Attached Files

Published - PhysRevB.90.020301.pdf

Submitted - 1311.2615v2.pdf

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August 20, 2023
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