English

Equilibration and macroscopic quantum fluctuations in the Dicke model

Quantum Physics 2015-06-04 v1 Other Condensed Matter Chaotic Dynamics

Abstract

We discuss the unitary quantum dynamics of the Dicke model (spin and oscillator coupled). A suitable quasiprobabilty representing the quantum state turns out to obey a Fokker-Planck equation, with drift terms representing the underlying classical Hamiltonian flow and diffusion terms describing quantum fluctuations. We show (by projecting the dynamics onto a co-moving Poincar\'e section) how the interplay of deterministic drift and quantum diffusion generates equilibration to the microcanonical density, under conditions of global classical chaos. The pertinent photon statistics reveals macroscopic quantum fluctuations.

Keywords

Cite

@article{arxiv.1201.6514,
  title  = {Equilibration and macroscopic quantum fluctuations in the Dicke model},
  author = {Alexander Altland and Fritz Haake},
  journal= {arXiv preprint arXiv:1201.6514},
  year   = {2015}
}

Comments

12 pages, 5 figures

R2 v1 2026-06-21T20:12:29.326Z