AI Article Synopsis
- Semiclassical results are generally valid in their expected semiclassical regime, but this paper investigates how increasing the effective Planck constant affects these predictions.
- The study numerically examines semiclassical predictions related to the decay of the quantum Loschmidt echo across various quantum models, including chaotic systems.
- Findings suggest that semiclassical predictions can still hold in deep quantum regions, especially under specific conditions related to perturbation strength, indicating robustness of these predictions.
Article Abstract
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.
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| http://dx.doi.org/10.1103/PhysRevE.86.066203 | DOI Listing |
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