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Numerical Renormalization Group for Bosonic Systems and Application to the Sub-Ohmic Spin-Boson Model
Open accessAbstract
We describe the generalization of Wilson's numerical renormalization group method to quantum impurity models with a bosonic bath, providing a general nonperturbative approach to bosonic impurity models which can access exponentially small energies and temperatures. As an application, we consider the spin-boson model, describing a two-level system coupled to a bosonic bath with power-law spectral density, J(omega) proportional to omega(s). We find clear evidence for a line of continuous quantum phase transitions for sub-Ohmic bath exponents 0<s<1; the line terminates in the well-known Kosterlitz-Thouless transition at s=1. Contact is made with results from perturbative renormalization group, and various other applications are outlined.
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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
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Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
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
Noise-assisted energy transfer in quantum networks and light-harvesting complexes
Chin, A. W., Datta, A., Caruso, F., Huelga, S. F., & Plenio, M. B. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/6/065002 · Cited by 338
Chin, A. W., Rivas, Á., Huelga, S. F., & Plenio, M. B. (2010) · Journal of Mathematical Physics · doi:10.1063/1.3490188 · Cited by 320
Quantum feedback: Theory, experiments, and applications
Zhang, J., Liu, Y.-X., Wu, R.-B., Jacobs, K., & Nori, F. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.02.003 · Cited by 272
Metadata
- Authors
- Bulla, R., Tong, N.-H., & Vojta, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2003-10-24
- Volume
- 91
- Issue
- 17
- Pages
- 170601-170601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2080976213
- Cited by
- 265
- References
- 1
- FWCI
- 5.06
- Type
- journal article
- Language
- en
- Open access
- green
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- Bulla, R., Tong, N.-H., & Vojta, M. (2003). Numerical Renormalization Group for Bosonic Systems and Application to the Sub-Ohmic Spin-Boson Model. Physical Review Letters. https://doi.org/10.1103/physrevlett.91.170601
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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