2012/09/30 by Pinquan Qin, Qian Wang, Wen-ge Wang
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics #Physics of Superconductivity and Magnetism #Planck #Planck constant #Quantum #Quantum chaos and dynamical systems #Quantum decoherence #Quantum dynamics #Quantum mechanics #Quantum process #Semiclassical gravity #Semiclassical physics #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreve.86.066203
published as Phys. Rev. E, 86, 066203 (2012) · 8 pages, 10 figures. Published version
openalex publication_date 2012/12/04 · arxiv created 2012/12/06 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Semiclassical results are usually expected to be valid in the semiclassical regime. An interesting question is, in models in which appropriate effective Planck constants can be introduced, to what extent will a semiclassical prediction stay valid when the effective Planck constant is increased? In this paper, we numerically study this problem, focusing on semiclassical predictions for the decay of the quantum Loschmidt echo in deep quantum regions. Our numerical simulations, carried out in the chaotic regime in the sawtooth model and in the kicked rotator model and also in the critical region of a one-dimensional Ising chain in transverse field, show that the semiclassical predictions may work even in deep quantum regions, particularly for perturbation strength in the so-called Fermi-Golden-Rule regime.