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| related topics |
| {time, wave, function} |
| {cos, sin, state} |
| {classical, space, random} |
| {wave, scattering, interference} |
| {equation, function, exp} |
| {spin, pulse, spins} |
| {temperature, thermal, energy} |
| {light, field, probe} |
| {energy, state, states} |
| {state, states, coherent} |
| {level, atom, field} |
|
Semiclassical catastrophes and accumulative angular squeezing of a
kicked quantum rotor
M. Leibscher, I. Sh. Averbukh, P. Rozmej, R. Arvieu
abstract: We present a detailed theory of spectacular semiclassical catastrophes
happening during the time evolution of a kicked quantum rotor (Phys.Rev. Lett.
{\bf 87}, 163601 (2001)). Both two- and three-dimensional rotational systems
are analyzed. It is shown that the wave function of the rotor develops a {\em
cusp} at a certain delay after a kick, which results in a sharply focused
rotational wave packet. The {\em cusp} is followed by a fold-type catastrophe
manifested in the {\em rainbow}-like moving angular singularities. In the
three-dimensional case, the rainbows are accompanied by additional singular
features similar to {\em glory} structures known in wave optics. These
catastrophes in the time-dependent angular wave function are well described by
the appropriate tools of the quasiclassical wave mechanics, i.e. by Airy and
Bessel approximations and Pearcey's functions. A scenario of "accumulative
squeezing" is also presented in which a specially designed train of short kicks
produces an unlimited narrowing of the rotor angular distribution. This
scenario is relevant for the molecular alignment by short laser pulses, and
also for atom lithography schemes in which cold atoms are focused by an optical
standing wave.
- oai_identifier:
- oai:arXiv.org:quant-ph/0306146
- categories:
- quant-ph
- comments:
- 22 pages, 12 postscript figures, 2 jpeg figures
- doi:
- 10.1103/PhysRevA.69.032102
- arxiv_id:
- quant-ph/0306146
- journal_ref:
- Phys. Rev. A 69, 032102 (2004)
- created:
- 2003-06-22
Full article ▸
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