Interference of Quantum Chaotic Systems in Phase Space

You-Yang Xu

We investigate the interference of a kicked harmonic oscillator in phase space. With the measure of interference defined in Lee and Jeong [ Phys. Rev. Lett. 106 (2011) 220401 ], we show that interference increases more rapidly in the chaotic regime than in the regular regime, and that the sub-Planck structure is of importance for the decoherence time in the chaotic regime. We also find that interference plays an important role in energy transport between the kicking fields and the kicked harmonic oscillator.

S. Schlunk, M. B. d’Arcy, S. A. Gardiner +3 more

We experimentally and numerically investigate the quantum accelerator mode dynamics of an atom optical realization of the quantum delta-kicked accelerator, whose classical dynamics are chaotic. Using a Ramsey-type experiment, we observe interference, demonstrating that quantum accelerator modes are formed coherently. We construct a link between the behavior of the evolution's fidelity and the phase space structure of a recently proposed pseudoclassical map, and thus account for the observed interference visibilities.

M. S. Santhanam

Jürgen Audretsch, Michael B. Mensky, Vladimir A. Namiot

Qu Wang, Jinyun Zhou, Qing Guo

In conventional interference-based optical encryption schemes, a potential cracker can retrieve partial information (silhouette) of the secret image using only one phase-only mask (POM). We resolve this drawback using a phase-blend operation and piecewise linear chaotic map (PWLCM) to further encode the POMs. One cannot recover a secret image visibly when inverse phase-blend operation and inverse chaotic permutation are not carried out with the correct decryption keys. Chaotic parameters of PWLCM, and random phase-angle function in the phase-blend operation enlarge the key space and improve the security of the proposed system greatly. Numerical simulations and optoelectronic experiments are performed to verify the effectiveness of the proposed scheme.