The excitation of a quantum gas of independent fermions in a deforming cavity: periodicity of driving vs. Landau-Zener transitions
✍ Scribed by J. Skalski
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 892 KB
- Volume
- 624
- Category
- Article
- ISSN
- 0375-9474
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✦ Synopsis
The numerically calculated excitation of a quantum gas of 112 non-interacting fermions in a hard-walled cavity changing its shape is analysed for one and for half of the oscillation cycle. Spheroidal and Legendre polynomial distortions, P2, P3, P4, P5 and P6, around the sphere and the octupole deformed shape are considered. Oscillations of the excitation energy as a function of the driving frequency, especially pronounced for low frequencies, are related to quantum interference between Landau-Zener transitions at successively traversed avoided crossings. This irregular component of excitation may be linked to the periodicity of the driving motion since it is strongly suppressed for one-half of the oscillation period. It is argued that the wall formula describes quantum one-body dissipation in aperiodic processes better than in periodic ones.