Quantum chaos of a mixed, open system of kicked cold atoms

Abstract

The quantum and classical dynamics of particles kicked by a gaussian attractive potential are studied. Classically, it is an open mixed system (the motion in some parts of the phase space is chaotic, and in some parts it is regular). The fidelity (Lochshmidt echo) is found to exhibit oscillations that can be determined from classical considerations but are sensitive to phase space structures that are smaller than Planck's constant. Families of quasi-energies are determined from classical phase space structures. Substantial differences between the classical and quantum dynamics are found for time dependent scattering. It is argued that the system can be experimentally realized by cold atoms kicked by a gaussian light beam.

19 pages, 21 figures, (accepted for publication in Phys. Rev. E)

References in corpus (4)

• Dynamics of Loschmidt echoes and fidelity decay
• Semiclassical Foundation of Universality in Quantum Chaos
• Regular-to-Chaotic Tunneling Rates: From the Quantum to the Semiclassical Regime
• Saturation of fidelity in the atom-optics kicked rotor

Cited by in corpus (8)

• Loschmidt Echo
• Out-of-time-order Operators and the Butterfly Effect
• Chaos in Dirac electron optics: Emergence of a relativistic quantum chimera
• Fidelity for kicked atoms with gravity near a quantum resonance
• Orthogonality catastrophe and fractional exclusion statistics
• Resonance spectra for quantum maps of kicked scattering systems by complex scaling
• Fidelity of the near resonant quantum kicked rotor
• Effects of interactions on the dynamics of driven cold atoms