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Unfrustrated qudit chains and their ground states

Author(s)
Movassagh, Ramis; Farhi, Edward; Goldstone, Jeffrey; Nagaj, Daniel; Osborne, Tobias J.; Shor, Peter W.; ... Show more Show less
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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.
Date issued
2010-07
URI
http://hdl.handle.net/1721.1/60561
Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of Physics
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
ISSN
1050-2947
1094-1622

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