Damped harmonic oscillators in the holomorphic representation

Abstract

Quantum dynamical semigroups are applied to the study of the time evolution of harmonic oscillators, both bosonic and fermionic. Explicit expressions for the density matrices describing the states of these systems are derived using the holomorphic representation. Bosonic and fermionic degrees of freedom are then put together to form a supersymmetric oscillator; the conditions that assure supersymmetry invariance of the corresponding dynamical equations are explicitly derived.

19 pages, plain-TeX, no figures

References in corpus (8)

• Open system approach to neutrino oscillations
• Complete positivity and correlated neutral kaons
• Non-Standard neutral kaons dynamics from D-brane statistics
• Uncertainty, entropy and decoherence of the damped harmonic oscillator in the Lindblad theory of open quantum systems
• Complete positivity and neutron interferometry
• Effective dissipative dynamics for polarized photons
• Dissipative effects in semileptonic B decays
• CPT, dissipation, and all that

Cited by in corpus (6)

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• Irreversibility and dissipation in neutral B-meson decays
• Entanglement entropy converges to classical entropy around periodic orbits
• The Gaussian entropy of fermionic systems
• Exploring the nature of neutrinos in a dissipative environment