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Real-Time Dynamics in Quantum-Impurity Systems: A Time-Dependent Numerical Renormalization-Group Approach
Open accessAbstract
We develop a general approach to the nonequilibrium dynamics of quantum-impurity systems for arbitrary coupling strength. The numerical renormalization group is used to generate a complete basis set necessary for the correct description of the time evolution. We benchmark our method with the exact analytical solution for the resonant-level model. As a first application, we investigate the equilibration of an ultrasmall quantum dot subject to a sudden change of gate voltage and external magnetic field. Two distinct relaxation times are identified for the spin and charge dynamics.
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Cites
Dynamics of the dissipative two-state system
Leggett, A. J., Chakravarty, S., Dorsey, A. T., Fisher, M. P. A., Garg, A., & Zwerger, W. (1987) · Reviews of Modern Physics · doi:10.1103/revmodphys.59.1 · Cited by 5,109
Cited by
Sum-Rule Conserving Spectral Functions from the Numerical Renormalization Group
Weichselbaum, A., & von Delft, J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.076402 · Cited by 371
Tensor product methods and entanglement optimization for ab initio quantum chemistry
Szalay, S., Pfeffer, M., Murg, V., Barcza, G., Verstraete, F., Schneider, R., & Legeza, Ö. (2015) · International Journal of Quantum Chemistry · doi:10.1002/qua.24898 · Cited by 314
Simulating strongly correlated quantum systems with tree tensor networks
Murg, V., Verstraete, F., Legeza, Ö., & Noack, R. M. (2010) · Physical Review B · doi:10.1103/physrevb.82.205105 · Cited by 245
Taming the Dynamical Sign Problem in Real-Time Evolution of Quantum Many-Body Problems
Cohen, G., Gull, E., Reichman, D. R., & Millis, A. J. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.266802 · Cited by 228
Metadata
- Authors
- Anders, F. B., & Schiller, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-10-31
- Volume
- 95
- Issue
- 19
- Pages
- 196801-196801
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2122404627
- Cited by
- 426
- References
- 1
- FWCI
- 9.43
- Type
- journal article
- Language
- en
- Open access
- green
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