Quantum kinetic theory. III. Quantum kinetic master equation for strongly condensed trapped systems
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We extend quantum kinetic theory to deal with a strongly Bose-condensed atomic vapor in a trap. The method assumes that the majority of the vapor is not condensed, and acts as a bath of heat and atoms for the condensate. The condensate is described by the particle-number-conserving Bogoliubov method developed by one of the authors. We derive equations which describe the fluctuations of particle number and phase, and the growth of the Bose-Einstein condensate. The equilibrium state of the condensate is a mixture of states with different numbers of particles and quasiparticles. It is not a quantum superposition of states with different numbers of particles---nevertheless, the stationary state exhibits the property of off-diagonal long-range order, to the extent that this concept makes sense in a tightly trapped condensate.
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The capability of an analog quantum information processor whose dynamics is characterized by quantum chaos can be severely impacted by imperfections.
“Indeed, the capability of an analog quantum information processor whose dynamics is characterized by quantum chaos (i.e., well described by random matrix theory) can be severely impacted by imperfections [147, 148].”
From Can one trust quantum simulators? (2012) · cites this paper as [147]
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Cold Bosonic Atoms in Optical Lattices
Jaksch, D., Bruder, C., Cirac, J. I., Gardiner, C. W., & Zoller, P. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.3108 · Cited by 3,685 · see citing works
Self-citationCan one trust quantum simulators?
Hauke, P., Cucchietti, F. M., Tagliacozzo, L., Deutsch, I., & Lewenstein, M. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/8/082401 · Cited by 315 · see citing works
- Authors
- Gardiner, C. W., & Zoller, P.
- Affiliations
- Victoria University of Wellington (NZ)
- Universität Innsbruck (AT)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1998-07-01
- Volume
- 58
- Issue
- 1
- Pages
- 536-556
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2001466242
- Cited by
- 108
- References
- 63
- Citations by year
- 2026: 2 · 2024: 1 · 2023: 1 · 2021: 1 · 2020: 2 · 2019: 3 · 2018: 6 · 2017: 2 · 2016: 1 · 2015: 4 · 2014: 3 · 2013: 4 · 2012: 8
- FWCI
- 5.14
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum, superfluid, helium dynamics
- Keywords
- quantum kinetic theory, Bose-Einstein condensate, Bogoliubov method, condensate growth, particle number fluctuations, phase fluctuations, off-diagonal long-range order, quasiparticles
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