Chaos in the quantum Duffing oscillator in the semiclassical regime under parametrized dissipation

• URL: http://arxiv.org/abs/2011.00118v1
• Date: Fri, 30 Oct 2020 22:03:02 GMT
• Title: Chaos in the quantum Duffing oscillator in the semiclassical regime under parametrized dissipation
• Abstract summary: We study the quantum dissipative Duffing oscillator across a range of system sizes and environmental couplings. We quantify the system sizes where quantum dynamics cannot be simulated using semiclassical or noise-added classical approximations. Our findings generalize the previous surprising result that classically regular orbits can have the greatest quantum-classical differences in the semiclassical regime.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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