Quantum kinetic theory. IV. Intensity and amplitude fluctuations of a Bose-Einstein condensate at finite temperature including trap loss
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We use the quantum kinetic theory to calculate the steady state and fluctuations of a trapped Bose-Einstein condensate at a finite temperature. The system is divided in a condensate and a noncondensate part. A quantum-mechanical description based on the number-conserving Bogoliubov method is used for describing the condensate part. The noncondensed particles are treated as a classical gas in thermal equilibrium with temperature $T$ and chemical potential $\ensuremath{\mu}$. We find a master equation for the reduced density operator of the Bose-Einstein condensate, calculate the steady state of the system, and investigate the effect of one-, two-, and three-particle losses on the condensate. Using linearized Ito equations, we find expressions for the intensity fluctuations and the amplitude fluctuations in the condensate. A Lorentzian line shape is found for the intensity correlation function that is characterized by a time constant ${\ensuremath{\gamma}}_{I}^{\ensuremath{-}1}$ derived in the paper. For the amplitude correlation function, we find ballistic behavior for time differences smaller than ${\ensuremath{\gamma}}_{I}^{\ensuremath{-}1}$, and diffusive behavior for larger time differences.
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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 [148]
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Can one trust quantum simulators?
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- Authors
- Jaksch, D., Gardiner, C. W., Gheri, K. M., & Zoller, P.
- Affiliations
- Universität Innsbruck (AT)
- Victoria University of Wellington (NZ)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1998-08-01
- Volume
- 58
- Issue
- 2
- Pages
- 1450-1464
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1994961465
- Cited by
- 74
- References
- 37
- Citations by year
- 2026: 1 · 2023: 1 · 2022: 1 · 2021: 1 · 2019: 1 · 2018: 3 · 2017: 1 · 2016: 2 · 2015: 2 · 2014: 1 · 2013: 2 · 2012: 5
- FWCI
- 4.64
- 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 Mechanics and Applications
- Keywords
- Bose-Einstein condensate, finite temperature, intensity fluctuations, amplitude fluctuations, trap loss, Bogoliubov method, master equation, reduced density operator, Itô equations, second-order correlation function, Lorentzian line shape, particle loss, quantum kinetic theory
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