Unfrustrated qudit chains and their ground states
Name
Movassagh-2010-Unfrustrated qudit c.pdf
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Author(s)
Movassagh, Ramis
Farhi, Edward
Goldstone, Jeffrey
Nagaj, Daniel
Osborne, Tobias J.
Shor, Peter W.
Date Issued
July 2010
Journal
Physical Review A
Publisher
American Physical Society
Citation
Movassagh, Ramis, et al. "Unfrustrated qudit chains and their ground states." Physical Review A 82.1 (2010): 012318. © 2010 The American Physical Society
Version
Final published version
Abstract
We investigate chains of d-dimensional quantum spins (qudits) on a line with generic nearest-neighbor interactions without translational invariance. We find the conditions under which these systems are not frustrated, that is, when the ground states are also the common ground states of all the local terms in the Hamiltonians. The states of a quantum spin chain are naturally represented in the matrix product states (MPS) framework. Using imaginary time evolution in the MPS ansatz, we numerically investigate the range of parameters in which we expect the ground states to be highly entangled and find them hard to approximate using our MPS method.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.82.012318
