Saturation of fidelity in the atom-optics kicked rotor

Abstract

We show that the quantum fidelity is accessible to cold atom experiments for a large class of evolutions in periodical potentials, properly taking into account the experimental initial conditions of the atomic ensemble. We prove analytically that, at the fundamental quantum resonances of the atom-optics kicked rotor, the fidelity saturates at a constant, time-independent value after a small number of kicks. The latter saturation arises from the bulk of the atomic ensemble, whilst for the resonantly accelerated atoms the fidelity is predicted to decay slowly according to a power law.

References in corpus (3)

• Quantum resonances and decoherence for delta-kicked atoms
• Resonant nonlinear quantum transport for a periodically kicked Bose condensate
• Experimental verification of a one-parameter scaling law for the quantum and "classical" resonances of the atom-optics kicked rotor

Cited by in corpus (10)

• Dynamics of Loschmidt echoes and fidelity decay
• Many-body quantum chaos in stroboscopically-driven cold atoms
• Controlled decoherence in a quantum Lévy kicked rotator
• Quantum search with a continuous-time quantum walk in momentum space
• Pseudo-classical theory for fidelity of nearly resonant quantum rotors
• Fidelity for kicked atoms with gravity near a quantum resonance
• Fidelity of the near resonant quantum kicked rotor
• Stability of Fock states in a two-component Bose-Einstein condensate with a regular classical counterpart
• Sensitivity of Quantum Motion to Perturbation in Triangle Map
• Effects of interactions on the dynamics of driven cold atoms