Dynamics of quantum trajectories in chaotic systems

Details Dynamics of quantum trajectories in chaotic systems Dynamics of quantum trajectories in chaotic systems

2003-09-10

arxiv.org/abs/quant-ph/0309083v1

Europhysics Letters 64, 441 (2003)

Physics

Quantum Physics

7 pages, 4 figures. Accepted for publication in Europhysics Letters

Scientific paper

10.1209/epl/i2003-00231-y

Quantum trajectories defined in the de Broglie--Bohm theory provide a causal way to interpret physical phenomena. In this Letter, we use this formalism to analyze the short time dynamics induced by unstable periodic orbits in a classically chaotic system, a situation in which scars are known to play a very important role. We find that the topologies of the quantum orbits are much more complicated than that of the scarring and associated periodic orbits, since the former have quantum interference built in. Thus scar wave functions are necessary to analyze the corresponding dynamics. Moreover, these topologies imply different return routes to the vicinity of the initial positions, and this reflects in the existence of different contributions in each peak of the survival probability function.

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