Chaos in the quantum Duffing oscillator in the semiclassical regime under parametrized dissipation
Abstract
We study the quantum dissipative Duffing oscillator across a range of system sizes and environmental couplings under varying semiclassical approximations. Using spatial (based on Kullback-Leibler distances between phase-space attractors) and temporal (Lyapunov exponent-based) complexity metrics, we isolate the effect of the environment on quantum-classical differences. Moreover, we quantify the system sizes where quantum dynamics cannot be simulated using semiclassical or noise-added classical approximations. Remarkably, we find that a parametrically invariant meta-attractor emerges at a specific length scale and noise-added classical models deviate strongly from quantum dynamics below this scale. Our findings also generalize the previous surprising result that classically regular orbits can have the greatest quantum-classical differences in the semiclassical regime. In particular, we show that the dynamical growth of quantum-classical differences is not determined by the degree of classical chaos.
Keywords
Cite
@article{arxiv.2011.00118,
title = {Chaos in the quantum Duffing oscillator in the semiclassical regime under parametrized dissipation},
author = {Andrew D. Maris and Bibek Pokharel and Sharan Ganjam Seshachallam and Moses Z. R. Misplon and Arjendu K. Pattanayak},
journal= {arXiv preprint arXiv:2011.00118},
year = {2021}
}