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|a Nagaj, Daniel
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|a Massachusetts Institute of Technology. Center for Theoretical Physics
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|a Massachusetts Institute of Technology. Department of Materials Science and Engineering
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|a Massachusetts Institute of Technology. Department of Physics
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|a Farhi, Edward
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|a Nagaj, Daniel
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|a Farhi, Edward
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|a Goldstone, Jeffrey
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|a Shor, Peter W.
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|a Sylvester, Igor
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|a Farhi, Edward
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|a Goldstone, Jeffrey
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|a Shor, Peter W.
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|a Sylvester, Igor
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|a Quantum transverse-field Ising model on an infinite tree from matrix product states
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|b American Physical Society,
|c 2010-02-03T14:33:46Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/51347
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|a We give a generalization to an infinite tree geometry of Vidal's infinite time-evolving block decimation (iTEBD) algorithm [G. Vidal, Phys. Rev. Lett. 98, 070201 (2007)] for simulating an infinite line of quantum spins. We numerically investigate the quantum Ising model in a transverse field on the Bethe lattice using the matrix product state ansatz. We observe a second order phase transition, with certain key differences from the transverse field Ising model on an infinite spin chain. We also investigate a transverse field Ising model with a specific longitudinal field. When the transverse field is turned off, this model has a highly degenerate ground state as opposed to the pure Ising model whose ground state is only doubly degenerate.
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|a National Science Foundation
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|a Army Research Office
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|a W. M. Keck Foundation Center for Extreme Quantum Information Theory
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|a en_US
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|a Article
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|t Physical Review B
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