Semiclassical Description of Wavepacket Revival

Abstract

We test the ability of semiclassical theory to describe quantitatively the revival of quantum wavepackets --a long time phenomena-- in the one dimensional quartic oscillator (a Kerr type Hamiltonian). Two semiclassical theories are considered: time-dependent WKB and Van Vleck propagation. We show that both approaches describe with impressive accuracy the autocorrelation function and wavefunction up to times longer than the revival time. Moreover, in the Van Vleck approach, we can show analytically that the range of agreement extends to arbitrary long times.

10 pages, 6 figures

References in corpus (5)

• Quantum information with continuous variables
• Semiclassical Propagation of Wavepackets with Real and Complex Trajectories
• WKB Propagation of Gaussian Wavepackets
• Semiclassical investigation of revival phenomena in one dimensional system
• Real trajectories in the semiclassical coherent state propagator

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• Robust Negativity in the Quantum-to-Classical Transition of Kerr Dynamics