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. doi:10.1103/physrevb.98.235154. https://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.
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| 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 | |||||||||
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| Issue or Number: | 23 | |||||||||
| DOI: | 10.1103/physrevb.98.235154 | |||||||||
| Record Number: | CaltechAUTHORS:20190102-092233446 | |||||||||
| Persistent URL: | https://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: | 16 Nov 2021 03:45 |
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