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Destruction of string order after a quantum quench

Strinati, Marcello Calvanese and Mazza, Leonardo and Endres, Manuel and Rossini, Davide and Fazio, Rosario (2016) Destruction of string order after a quantum quench. Physical Review B, 94 (2). Art. No. 024302. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20160526-132227087

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Abstract

We investigate the evolution of string order in a spin-1 chain following a quantum quench. After initializing the chain in the Affleck-Kennedy-Lieb-Tasaki state, we analyze in detail how string order evolves as a function of time at different length scales. The Hamiltonian after the quench is chosen either to preserve or to suddenly break the symmetry which ensures the presence of string order. Depending on which of these two situations arises, string order is either preserved or lost even at infinitesimal times in the thermodynamic limit. The fact that nonlocal order may be abruptly destroyed, what we call string-order melting, makes it qualitatively different from typical order parameters in the manner of Landau. This situation is thoroughly characterized by means of numerical simulations based on matrix product states algorithms and analytical studies based on a short-time expansion for several simplified models.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevB.94.024302DOIArticle
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.024302PublisherArticle
http://arxiv.org/abs/1604.02823arXivDiscussion Paper
Additional Information:© 2016 American Physical Society. Received 14 April 2016; published 5 July 2016. R.F. was supported by EU (IP-SIQS and STREP-QUIC), and by Scuola Normale Superiore (progetto interno “Nonequilibrium dynamics of one-dimensional quantum systems”). R.F. also acknowledges the Oxford Martin School for support. L.M. was supported by LabEX ENS-ICFP: Grant No. ANR-10-LABX-0010/ANR-10-IDEX-0001-02 PSL*. L.M. and D.R. acknowledge support by the Italian MIUR (FIRB Project No. RBFR12NLNA).
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
European UnionUNSPECIFIED
Scuola Normale SuperioreUNSPECIFIED
Oxford Martin SchoolUNSPECIFIED
LabEX ENS-ICFPUNSPECIFIED
Agence Nationale de la Recherche (ANR)ANR-10-LABX-0010
Agence Nationale de la Recherche (ANR)ANR-10- IDEX-0001-02
Ministero dell'Istruzione, dell'Università e della Ricerca (MIUR)RBFR12NLNA
Record Number:CaltechAUTHORS:20160526-132227087
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160526-132227087
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67402
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:26 May 2016 20:42
Last Modified:11 Jul 2016 16:01

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