期刊
ANNALS OF PHYSICS
卷 328, 期 -, 页码 220-237出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2012.10.001
关键词
Wigner-Boltzmann equation; Quantum transport; Decoherence; Scattering
资金
- Austrian Science Fund (FWF) [P21685-N22]
- French Agence Nationale de la Recherche under project MODERN [ANR-05-NANO-002]
- USA NSF Grant [ECCS 0901251]
- Bulgarian Science Fund [DTK 02/44]
- Austrian Science Fund (FWF) [P21685] Funding Source: Austrian Science Fund (FWF)
The Wigner-Boltzmann equation provides the Wigner single particle theory with interactions with bosonic degrees of freedom associated with harmonic oscillators, such as phonons in solids. Quantum evolution is an interplay of two transport modes, corresponding to the common coherent particle-potential processes, or to the decoherence causing scattering due to the oscillators. Which evolution mode will dominate depends on the scales of the involved physical quantities. A dimensionless formulation of the Wigner-Boltzmann equation is obtained, where these scales appear as dimensionless strength parameters. A notion called scaling theorem is derived, linking the strength parameters to the coupling with the oscillators. It is shown that an increase of this coupling is equivalent to a reduction of both the strength of the electric potential, and the coherence length. Secondly, the existence of classes of physically different, but mathematically equivalent setups of the Wigner-Boltzmann evolution is demonstrated. (c) 2012 Elsevier Inc. All rights reserved.
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