Bopp operators and phase-space spin dynamics: Application to rotational quantum brownian motion

Abstract

As already known for nonrelativistic spinless particles, Bopp operators give an elegant and simple way to compute the dynamics of quasiprobability distributions in the phase space formulation of Quantum Mechanics. In this work, we present a generalization of Bopp operators for spins and apply our results to the case of open spin systems. This approach allows to take the classical limit in a transparent way, recovering the corresponding Fokker-Planck equation.

Some typos corrected. Published version

References in corpus (6)

• Deformation quantization of Poisson manifolds, I
• Multi-particle entanglement of hot trapped ions
• Phase-space formulation of quantum mechanics and quantum state reconstruction for physical systems with Lie-group symmetries
• A General Theory of Phase-Space Quasiprobability Distributions
• The Semiclassical Propagator for Spin Coherent States
• From local to global deformation quantization of Poisson manifolds

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• The wave operator representation of quantum and classical dynamics
• Quasiprobability currents on the sphere
• Wigner representation of the rotational dynamics of rigid tops
• Spin relaxation in phase space
• Continuous phase-space methods on discrete phase spaces
• Phase space spinor amplitudes for spin 1/2 systems
• Correspondence rules for Wigner functions over SU(3)/U(2)
• Phase-Space Methods for Many-Body Quantum Optics