Manipulation of quantum particles in rapidly oscillating potentials by inducing phase hops

Abstract

Analytical calculations show that the mean-motion of a quantum particle trapped by a rapidly oscillating potential can be significantly manipulated by inducing phase hops, i.e., by instantaneously changing the potential's phase. A phase hop can be visualized as being the result of a collision with an imaginary particle which can be controlled. Several phase hops can have accumulating effects on the particle's mean-motion, even if they transform the particle's Hamiltonian into its initial one. The theoretical predictions are verified by numerical simulations for the one-dimensional Paul-trap.

7 pages, 4 figures

References in corpus (12)

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• Observation of photon-assisted tunneling in optical lattices
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Cited by in corpus (11)

• Heating rates for an atom in a far-detuned optical lattice
• Periodically-driven cold atoms: the role of the phase
• Kinetics of a single trapped ion in an ultracold buffer gas
• Beyond effective Hamiltonians: micromotion of Bose Einstein condensates in periodically driven optical lattices
• Fractional photon-assisted tunnelling of ultra-cold atoms in periodically shaken double-well lattices
• Rapidly-oscillating scatteringless non-Hermitian potentials and the absence of Kapitza stabilization
• Manipulation of a Bose-Einstein condensate by a time-averaged orbiting potential using phase jumps of the rotating field
• Effective time-reversal via periodic shaking
• Distinguishing mesoscopic quantum superpositions from statistical mixtures in periodically shaken double wells
• Resonantly enhanced coherence by laser-assisted tunneling
• Dynamics of atoms in a time-orbiting-potential trap: consequences of the classical description