32 citations · 106 across the 4 of their papers we have counts for
4 papers
Quantum random walks using quantum accelerator modes
Z. -Y Ma, K. Burnett, M. B. d'Arcy +1
We discuss the use of high-order quantum accelerator modes to achieve an atom optical realization of a biased quantum random walk. We first discuss how one can create co-existent q…
Quantum Accelerator Modes from the Farey Tree
A. Buchleitner, M. B. d'Arcy, S. Fishman +5
We show that mode-locking finds a purely quantum non-dissipative counterpart in atom-optical quantum accelerator modes. These modes are formed by exposing cold atoms to periodic ki…
Gravity-Sensitive Quantum Dynamics in Cold Atoms
Z. Y. Ma, M. B. d'Arcy, S. A. Gardiner
We subject a falling cloud of cold cesium atoms to periodic kicks from a sinusoidal potential created by a vertical standing wave of off-resonant laser light. By controllably accel…
Quantum Mechanical Cumulant Dynamics near Stable Periodic Orbits in Phase Space: Application to the classical-like dynamics of quantum accelerator modes
R. Bach, K. Burnett, M. B. d'Arcy +1
We formulate a general method for the study of semiclassical-like dynamics in stable regions of a mixed phase-space, in order to theoretically study the dynamics of quantum acceler…