Impact of Spontaneous Emission on the form and Dynamics of Atomic Wave Packets in an Optical Lattice

Prants, S. V.; Kon’kov, L. E.

doi:10.1007/s10946-015-9493-0

Cited by 1 publication

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References 36 publications

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“…Moreover, the process is accompanied by a momentum recoil in an arbitrary direction. A collapse of the wave function and a splitting of the corresponding wave packet appear just after each SE event [69] and a coherent evolution starts again. That additional splitting of wave packets at random time moments in addition to their proliferation at the SWF nodes at k  1, could improve the quantum-classical correspondence without SE.…”

Section: Quantum-classical Correspondencementioning

confidence: 98%

Quantum–classical correspondence in chaotic dynamics of laser-driven atoms

Prants

2017

Phys. Scr.

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This paper is a review article on some aspects of quantum–classical correspondence in chaotic dynamics of cold atoms interacting with a standing-wave laser field forming an optical lattice. The problem is treated from both (semi)classical and quantum points of view. In both approaches, the interaction of an atomic electic dipole with the laser field is treated quantum mechanically. Translational motion is described, at first, classically (atoms are considered to be point-like objects) and then quantum mechanically as a propagation of matter waves. Semiclassical equations of motion are shown to be chaotic in the sense of classical dynamical chaos. Point-like atoms in an absolutely deterministic and rigid optical lattice can move in a random-like manner demonstrating a chaotic walking with typical features of classical chaos. This behavior is explained by random-like ‘jumps’ of one of the atomic internal variable when atoms cross nodes of the standing wave and occurs in a specific range of the atom-field detuning. When treating atoms as matter waves, we show that they can make nonadiabatic transitions when crossing the standing-wave nodes. The point is that atomic wave packets split at each node in the same range of the atom-field detuning where the classical chaos occurs. The key point is that the squared amplitude of those semiclassical ‘jumps’ equal to the quantum Landau–Zener parameter which defines the probability of nonadiabatic transitions at the nodes. Nonadiabatic atomic wave packets are much more complicated compared to adiabatic ones and may be called chaotic in this sense. A few possible experiments to observe some manifestations of classical and quantum chaos with cold atoms in horizontal and vertical optical lattices are proposed and discussed.

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Section: Quantum-classical Correspondencementioning

confidence: 98%

Quantum–classical correspondence in chaotic dynamics of laser-driven atoms

Prants

2017

Phys. Scr.

View full text Add to dashboard Cite

show abstract

Impact of Spontaneous Emission on the form and Dynamics of Atomic Wave Packets in an Optical Lattice

Cited by 1 publication

References 36 publications

Quantum–classical correspondence in chaotic dynamics of laser-driven atoms

Quantum–classical correspondence in chaotic dynamics of laser-driven atoms

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