Controlled decoherence in a quantum Lévy kicked rotator

Details Controlled decoherence in a quantum Lévy kicked rotator Controlled decoherence in a quantum Lévy kicked rotator

2008-01-29

arxiv.org/abs/0801.4497v1

Phys. Rev. A 77, 062113 (2008)

Physics

Quantum Physics

15 pages, 8 figures

Scientific paper

10.1103/PhysRevA.77.062113

We develop a theory describing the dynamics of quantum kicked rotators (modelling cold atoms in a pulsed optical field) which are subjected to combined amplitude and timing noise generated by a renewal process (acting as an engineered reservoir). For waiting-time distributions of variable exponent (L\'evy noise), we demonstrate the existence of a regime of nonexponential loss of phase coherence. In this regime, the momentum dynamics is subdiffusive, which also manifests itself in a non-Gaussian limiting distribution and a fractional power-law decay of the inverse participation ratio. The purity initially decays with a stretched exponential which is followed by two regimes of power-law decay with different exponents. The averaged logarithm of the fidelity probes the sprinkling distribution of the renewal process. These analytical results are confirmed by numerical computations on quantum kicked rotators subjected to noise events generated by a Yule-Simon distribution.

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