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26 April 2024 |
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Article overview
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Caldeira-Leggett Model, Landau Damping, and the Vlasov-Poisson System | George I. Hagstrom
; P.J. Morrison
; | Date: |
31 Aug 2010 | Abstract: | The Caldeira-Leggett Hamiltonian (Eq. (1) below) describes the interaction of
a discrete harmonic oscillator with a continuous bath of harmonic oscillators.
This system is a standard model of dissipation in macroscopic low temperature
physics, and has applications to superconductors, quantum computing, and
macroscopic quantum tunneling. The similarities between the Caldeira-Leggett
model and the linearized Vlasov-Poisson equation are analyzed, and it is shown
that the damping in the Caldeira-Leggett model is analogous to that of Landau
damping in plasmas [1]. An invertible linear transformation [2, 3] is presented
that converts solutions of the Caldeira-Leggett model into solutions of the
linearized Vlasov-Poisson system. | Source: | arXiv, 1008.5190 | Services: | Forum | Review | PDF | Favorites |
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