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Time-Dependent Density-Matrix Renormalization Group: A Systematic Method for the Study of Quantum Many-Body Out-of-Equilibrium Systems
Open accessAbstract
The density-matrix renormalization-group algorithm is extended to treat time-dependent problems. The method provides a systematic and robust tool to explore out-of-equilibrium phenomena in quantum many-body systems. We illustrate the method by showing that attractive interactions enhance the tunneling current between two Luttinger liquids, whereas repulsive interactions suppress it, in qualitative agreement with analytical predictions. Enhancement of the transport current through a quantum dot in the Kondo regime is also exhibited.
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Citations
Cites
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
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems
Verstraete, F., García-Ripoll, J. J., & Cirac, J. I. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.207204 · Cited by 1,098
Jaksch, D., & Zoller, P. (2005) · Annals of Physics · doi:10.1016/j.aop.2004.09.010 · Cited by 976
Time-Dependent Variational Principle for Quantum Lattices
Haegeman, J., Cirac, J. I., Osborne, T. J., Pižorn, I., Verschelde, H., & Verstraete, F. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.070601 · Cited by 865
Baiardi, A., & Reiher, M. (2020) · The Journal of Chemical Physics · doi:10.1063/1.5129672 · Cited by 306
Metadata
- Authors
- Cazalilla, M. A., & Marston, J. B.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-06-06
- Volume
- 88
- Issue
- 25
- Pages
- 256403-256403
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1695626985
- Cited by
- 194
- References
- 1
- FWCI
- 6.04
- Type
- journal article
- Language
- en
- Open access
- green
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- Cazalilla, M. A., & Marston, J. B. (2002). Time-Dependent Density-Matrix Renormalization Group: A Systematic Method for the Study of Quantum Many-Body Out-of-Equilibrium Systems. Physical Review Letters. https://doi.org/10.1103/physrevlett.88.256403
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