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Quantum Phase Transitions in Matrix Product Systems

Wolf, Michael M. and Ortiz, Gerardo and Verstraete, Frank and Cirac, J. Ignacio (2006) Quantum Phase Transitions in Matrix Product Systems. Physical Review Letters, 97 (11). Art. No. 110403. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:WOLprl06

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Abstract

We investigate quantum phase transitions (QPTs) in spin chain systems characterized by local Hamiltonians with matrix product ground states. We show how to theoretically engineer such QPT points between states with predetermined properties. While some of the characteristics of these transitions are familiar, like the appearance of singularities in the thermodynamic limit, diverging correlation length, and vanishing energy gap, others differ from the standard paradigm: In particular, the ground state energy remains analytic, and the entanglement entropy of a half-chain stays finite. Examples demonstrate that these kinds of transitions can occur at the triple point of "conventional" QPTs.


Item Type:Article
Additional Information:©2006 The American Physical Society (Received 30 December 2005; published 12 September 2006) The authors are grateful to the Benasque Center for Science, acknowledge support by the DFG (SFB 631), and thank D. Perez-Garcia for valuable discussions.
Record Number:CaltechAUTHORS:WOLprl06
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:WOLprl06
Alternative URL:http://dx.doi.org/10.1103/PhysRevLett.97.110403
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5355
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:13 Oct 2006
Last Modified:18 Sep 2014 18:11

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