Simulation of time evolution with multiscale entanglement renormalization ansatz

Rizzi, Matteo, Montangero, Simone and Vidal, Guifre (2008) Simulation of time evolution with multiscale entanglement renormalization ansatz. Physical Review A, 77 5: . doi:10.1103/PhysRevA.77.052328

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Author Rizzi, Matteo
Montangero, Simone
Vidal, Guifre
Title Simulation of time evolution with multiscale entanglement renormalization ansatz
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2008-05-22
Sub-type Article (original research)
DOI 10.1103/PhysRevA.77.052328
Open Access Status File (Publisher version)
Volume 77
Issue 5
Total pages 4
Place of publication College Park, Md, United States
Publisher American Physical Society
Collection year 2009
Language eng
Abstract We describe an algorithm to simulate time evolution using the multiscale entanglement renormalization ansatz and test it by studying a critical Ising chain with periodic boundary conditions and with up to L[approximate]106 quantum spins. The cost of a simulation, which scales as L log2(L), is reduced to log2(L) when the system is invariant under translations. By simulating an evolution in imaginary time, we compute the ground state of the system. The errors in the ground-state energy display no evident dependence on the system size. The algorithm can be extended to lattice systems in higher spatial dimensions.
Keyword Density-matrix renormalization
Systems
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article Number: 052328

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
School of Mathematics and Physics
 
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Citation counts: TR Web of Science Citation Count  Cited 26 times in Thomson Reuters Web of Science Article | Citations
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Created: Wed, 11 Mar 2009, 15:21:16 EST by Jo Hughes on behalf of School of Mathematics & Physics