Entropy production and equilibration in Yang-Mills quantum mechanics

Abstract

The Husimi distribution provides for a coarse grained representation of the phase space distribution of a quantum system, which may be used to track the growth of entropy of the system. We present a general and systematic method of solving the Husimi equation of motion for an isolated quantum system, and we construct a coarse grained Hamiltonian whose expectation value is exactly conserved. As an application, we numerically solve the Husimi equation of motion for two-dimensional Yang-Mills quantum mechanics (the x-y model) and calculate the time evolution of the coarse grained entropy of a highly excited state. We show that the coarse grained entropy saturates to a value that coincides with the microcanonical entropy corresponding to the energy of the system.

23 pages, 23 figures

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Cited by in corpus (3)

• Phenomenological implications of asymmetric $Ad{S}_5$ shockwave collision studies for heavy ion physics
• Entropy production in quantum Yang-Mills mechanics in semi-classical approximation
• Real-time Quantum evolution in the Classical approximation and beyond