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Mixed-State Dynamics in One-Dimensional Quantum Lattice Systems: A Time-Dependent Superoperator Renormalization Algorithm
Open accessAbstract
We present an algorithm to study mixed-state dynamics in one-dimensional quantum lattice systems. The algorithm can be used, e.g., to construct thermal states or to simulate real time evolution given by a generic master equation. Its two main ingredients are (i) a superoperator renormalization scheme to efficiently describe the state of the system and (ii) the time evolving block decimation technique to efficiently update the state during a time evolution. The computational cost of a simulation increases significantly with the amount of correlations between subsystems, but it otherwise depends only linearly on the system size. We present simulations involving quantum spins and fermions in one spatial dimension.
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Cites
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
Density matrix formulation for quantum renormalization groups
White, S. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2863 · Cited by 7,702
Cited by
The density-matrix renormalization group in the age of matrix product states
Schollwöck, U. (2011) · Annals of Physics · doi:10.1016/j.aop.2010.09.012 · Cited by 4,818
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Orús, R. (2014) · Annals of Physics · doi:10.1016/j.aop.2014.06.013 · Cited by 2,255
Carusotto, I., & Ciuti, C. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.299 · Cited by 1,996
Verstraete, F., Murg, V., & Cirac, J. I. (2008) · Advances in Physics · doi:10.1080/14789940801912366 · Cited by 1,762
Metadata
- Authors
- Zwolak, M., & Vidal, G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-11-12
- Volume
- 93
- Issue
- 20
- Pages
- 207205-207205
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1972445258
- Cited by
- 657
- References
- 2
- FWCI
- 9.42
- Type
- journal article
- Language
- en
- Open access
- green
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- Zwolak, M., & Vidal, G. (2004). Mixed-State Dynamics in One-Dimensional Quantum Lattice Systems: A Time-Dependent Superoperator Renormalization Algorithm. Physical Review Letters. https://doi.org/10.1103/physrevlett.93.207205
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