Fidelity for kicked atoms with gravity near a quantum resonance
arXiv:1201.1418 · doi:10.1103/PhysRevE.85.036205
Abstract
Kicked atoms under a constant Stark or gravity field are investigated for experimental setups with cold and ultra cold atoms. The parametric stability of the quantum dynamics is studied using the fidelity. In the case of a quantum resonance, it is shown that the behavior of the fidelity depends on arithmetic properties of the gravity parameter. Close to a quantum resonance, the long time asymptotics of the fidelity is studied by means of a {\em pseudo-classical} approximation first introduced by Fishman {\em et al.} [J. Stat. Phys. {\bf 110}, 911 (2003)]. The long-time decay of fidelity arises from the tunneling out of pseudo-classical stable islands, and a simple ansatz is proposed which satisfactorily reproduces the main features observed in numerical simulations.
18 pages, 8 figures
References in corpus (14)
- Dynamics of Loschmidt echoes and fidelity decay
- Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
- Quantum resonances and decoherence for delta-kicked atoms
- Rectified momentum transport for a kicked Bose-Einstein Condensate
- Exploring the phase space of the quantum delta kicked accelerator
- A classical scaling theory of quantum resonances
- General Quantum Resonances of the Kicked Particle
- Experimental verification of a one-parameter scaling law for the quantum and "classical" resonances of the atom-optics kicked rotor
- Saturation of fidelity in the atom-optics kicked rotor
- Quantum Resonances and Ratchets in Free-Falling Frames
- Resonance-assisted decay of nondispersive wave packets
- Scaling law and stability for a noisy quantum system
- Pseudo-classical theory for fidelity of nearly resonant quantum rotors
- Quantum Accelerator Modes near Higher-Order Resonances