Quantum phase transition in the delocalized regime of the spin-boson model
Open accessAbstract
The existence of the delocalized-localized quantum phase transition (QPT) in the ohmic spin-boson model has been commonly recognized. While the physics in the localized regime is relatively simple, the delocalized regime shows many interesting behaviors. Here we reveal that in this regime there exists a novel QPT: namely, from a phase without a bound state to a phase with a bound state, which leads to completely different dynamical behaviors in these two phases. If the reservoir is initially in the displaced vacuum state (i.e., the coherent state), the spin dynamics exhibits lossless oscillation when the bound state exists; otherwise, the oscillation will decay completely. This result is compatible with the coherence-incoherence transition occurring in the small-tunneling limit. Our work indicates that the QPT physics in the spin-boson model needs further exploration.
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Our mechanism is applicable to a dissipative harmonic oscillator, whose dynamics is governed by the same bound-state mechanism as our TLS, and the spin-boson model, where the bound state has been found playing a leading role in the quantum phase transition.
“Our mechanism is applicable to a dissipative harmonic oscillator, whose dynamics is governed by the same bound-state mechanism as our TLS [45, 46], and the spinboson model, where the bound state has been found playing a leading role in the quantum phase transition of the model [39, 47].”
From Mechanism for quantum speedup in open quantum systems (2016) · cites this paper as [47]
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- Authors
- Tong, Q.-J., An, J.-H., Luo, H.-G., & Oh, C. H.
- Affiliations
- Centre for Quantum Technologies (SG)
- Beijing Computational Science Research Center (CN)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2011-11-08
- Volume
- 84
- Issue
- 17
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2027668844
- Cited by
- 38
- References
- 32
- Citations by year
- 2026: 6 · 2025: 3 · 2024: 2 · 2023: 2 · 2022: 2 · 2021: 2 · 2019: 2 · 2018: 4 · 2017: 3 · 2016: 3 · 2015: 3 · 2014: 1 · 2013: 3 · 2012: 2
- FWCI
- 1.04
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- National University of Singapore (submittedVersion)
- Lanzhou University Institutional Repository (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- quantum phase transitions, spin-boson model, bound states, spin dynamics, coherent states, Ohmic bath
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