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Entanglement spectrum of mixed states

van Nieuwenburg, Evert and Zilberberg, Oded (2018) Entanglement spectrum of mixed states. Physical Review A, 98 (1). Art. No. 012327. ISSN 2469-9926. http://resolver.caltech.edu/CaltechAUTHORS:20180725-075545819

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Abstract

Entanglement plays an important role in our ability to understand, simulate, and harness quantum many-body phenomena. In this work, we investigate the entanglement spectrum for open one-dimensional (1D) systems and propose a natural quantifier for how much a 1D quantum state is entangled while being subject to decoherence. We demonstrate our method using a simple case of single-particle evolution and find that the open system entanglement spectrum is composed of generalized concurrence values, as well as quantifiers of the state's purity. Our proposed entanglement spectrum can be directly obtained using a correct scaling of a matrix product state decomposition of the system's density matrix. Our method thus offers observables that are easily acquired in the study of interacting 1D systems and sheds light on the approximations employed in matrix product state simulations of open system dynamics.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevA.98.012327DOIArticle
https://arxiv.org/abs/1803.09842arXivDiscussion Paper
ORCID:
AuthorORCID
van Nieuwenburg, Evert0000-0003-0323-0031
Additional Information:© 2018 American Physical Society. Received 27 March 2018; published 25 July 2018. We thank C. Carish, R. Chitra, M. Ferguson, M. Fischer, S. Huber, and C. D. White for useful discussions on this work. We acknowledge financial support from the Swiss National Science Foundation (SNSF).
Funders:
Funding AgencyGrant Number
Swiss National Science Foundation (SNSF)UNSPECIFIED
Record Number:CaltechAUTHORS:20180725-075545819
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180725-075545819
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88227
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:25 Jul 2018 15:04
Last Modified:25 Jul 2018 15:04

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