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Thermal states as convex combinations of matrix product states

Berta, Mario and Brandão, Fernando G. S. L. and Haegeman, Jutho and Scholz, Volkher B. and Verstraete, Frank (2018) Thermal states as convex combinations of matrix product states. Physical Review B, 98 (23). Art. No. 235154. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20190102-092233446

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Abstract

We study thermal states of strongly interacting quantum spin chains and prove that those can be represented in terms of convex combinations of matrix product states. Apart from revealing new features of the entanglement structure of Gibbs states, our results provide a theoretical justification for the use of White's algorithm of minimally entangled typical thermal states. Furthermore, we shed new light on time dependent matrix product state algorithms which yield hydrodynamical descriptions of the underlying dynamics.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevb.98.235154DOIArticle
https://arxiv.org/abs/1709.07423arXivDiscussion Paper
ORCID:
AuthorORCID
Berta, Mario0000-0002-0428-3429
Brandão, Fernando G. S. L.0000-0003-3866-9378
Additional Information:© 2018 American Physical Society. (Received 12 January 2018; published 26 December 2018) We thank Isaac Kim for pointing out an error in an earlier version of this paper and Brian Swingle for discussions. J.H. acknowledges support from the ERC via Grant No. 715861 (ERQUAF). F.V. acknowledges funding from the ERC grant QUTE, and the sfb projects foqus and vicom.
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
European Research Council (ERC)715861
Record Number:CaltechAUTHORS:20190102-092233446
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190102-092233446
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:91972
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:02 Jan 2019 19:51
Last Modified:02 Jan 2019 19:51

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