Quantum optical tunneling: A representation-free theory valid near the state-equation turning points
Abstract
The problem of representation dependence in the treatment of quantum tunneling in absorptive optical bistability is considered. Disregarding this problem can lead to order-of-magnitude errors in calculated tunneling rates. A new description is presented, valid near the state-equation turning points, in which regime the discrepancies between different representations are shown to disappear. This description is also useful for treating critical fluctuations and dispersive cases.
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The approximation of truncating higher-order noise terms underlying Eq. (45) typically loses accuracy when strong interactions and/or very non-perturbative processes in quantum fluctuations are considered, such as quantum tunneling in bistable systems.
“it is important to note that the approximation of truncating higher-order noise terms [85] that underlies (45) typically loses accuracy when strong interactions and/or very non-perturbative processes in the quantum fluctuations are considered, such as quantum tunneling in bistable systems [86,87].”
From How to exploit driving and dissipation to stabilize and manipulate quantum many-body states (2025) · cites this paper as [86]
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Hänggi, P., Talkner, P., & Borkovec, M. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.251 · Cited by 6,154 · see citing works
How to exploit driving and dissipation to stabilize and manipulate quantum many-body states
Carusotto, I. (2025) · Comptes Rendus. Physique · doi:10.5802/crphys.258 · Cited by 5 · see citing works
“…it is important to note that the approximation of truncating higher-order noise terms [64] that underlies (45) typically loses accuracy when strong interactions and/or very non-perturbative processes in the quantum fluctuations are considered, such as quantum tunneling in bistable systems [65, 66].”
- Authors
- Drummond, P. D.
- Affiliations
- University of Auckland (NZ)
- Corresponding author
- Drummond, P. D.
- ORCID
- Drummond, P. D.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1986-06-01
- Volume
- 33
- Issue
- 6
- Pages
- 4462-4464
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2000063078
- Cited by
- 31
- References
- 0
- Citations by year
- 2025: 1 · 2019: 1 · 2013: 1 · 2012: 1
- FWCI
- 1.17
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review A (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photorefractive and Nonlinear Optics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- optical bistability, representation dependence, tunneling rate, critical fluctuations, dispersive optical bistability
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