Revivals of Coherence in Chaotic Atom-Optics Billiards

Abstract

We investigate the coherence properties of thermal atoms confined in optical dipole traps where the underlying classical dynamics is chaotic. A perturbative expression derived for the coherence of the echo scheme of [Andersen et. al., Phys. Rev. Lett. 90, 023001 (2003)] shows it is a function of the survival probability or fidelity of eigenstates of the motion of the atoms in the trap. The echo coherence and the survival probability display "system specific" features, even when the underlying classical dynamics is chaotic. In particular, partial revivals in the echo signal and the survival probability are found for a small shift of the potential. Next, a "semi-classical" expression for the averaged echo signal is presented and used to calculate the echo signal for atoms in a light sheet wedge billiard. Revivals in the echo coherence are found in this system, indicating they may be a generic feature of dipole traps.

References in corpus (4)

• Precision measurement and compensation of optical Stark shifts for an ion-trap quantum processor
• Quantum freeze of fidelity decay for a class of integrable dynamics
• Recurrence of fidelity in near integrable systems
• Echo spectroscopy and Atom Optics Billiards

Cited by in corpus (14)

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• Recurrence of particles in static and time varying oval billiards
• Quantum Mechanical Cumulant Dynamics near Stable Periodic Orbits in Phase Space: Application to the classical-like dynamics of quantum accelerator modes
• Scattering Dynamics of Driven Closed Billiards
• Quantum chaos of a mixed, open system of kicked cold atoms
• Hyperfine Spectroscopy of Optically Trapped Atoms
• Uniform semiclassical approximations of the nonlinear Schroedinger equation by a Painleve mapping
• Engineering fidelity echoes in Bose-Hubbard Hamiltonians
• Non-monotonous short-time decay of the Loschmidt echo in quasi-one-dimensional systems
• Effects of interactions on the dynamics of driven cold atoms
• Long-Time Coherence in Echo Spectroscopy with $\pi /2$--$\pi$--$\pi /2$ Pulse Sequence
• Atom-Optics Billiards: Non-linear dynamics with cold atoms in optical traps