Emergence of Classicality in Quantum Phase Transitions

Details Emergence of Classicality in Quantum Phase Transitions Emergence of Classicality in Quantum Phase Transitions

2000-11-17

arxiv.org/abs/hep-ph/0011227v2

Phys.Rev. D65 (2002) 045013

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTex 13 pages, no figures. Decoherence discussed in a linear coupling model. Version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.65.045013

We show that classicality emerges during quantum phase transitions due to parametric interactions without coupling to environments. The Wigner functions are explicitly calculated for the Gaussian vacuum, number, and thermal states of a free scalar field that describes the spinodal instability regime. The Wigner functions are sharply peaked around their classical trajectories during the phase transition and exhibit classical correlation only for unstable long wavelength modes but retain quantum coherence for short wavelength modes. Thus classicality emerges from the quantum evolution of phase transitions without a classical order parameter. We define a quantal ordering parameter that is linear in the field variable and satisfies the classical field equation.

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