Time Evolution of Pure Quantum State and Emergence of A Nearly Thermal State

Details Time Evolution of Pure Quantum State and Emergence of A Nearly Thermal State Time Evolution of Pure Quantum State and Emergence of A Nearly Thermal State

1994-10-11

arxiv.org/abs/hep-th/9410075v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, TU/94/468

Scientific paper

Dynamical evolution of the quantum ground state (vacuum) is analyzed for time variant harmonic oscillators characterized by asymptotically constant frequency. The oscillatory density matrix in the asymptotic future is uniquely determined by a constant number of produced particles, independent of other details of transient behavior at intermediate times. Time average over one oscillation period yields a classical, in some cases even an almost thermal behavior. In an analytically soluble model the created particle number obeys the Planck distribution in a parameter limit. This suggests a new way of understanding the Gibbons-Hawking temperature in the de Sitter spacetime.

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