|
| related topics |
| {energy, state, states} |
| {level, atom, field} |
| {time, wave, function} |
| {state, states, coherent} |
| {temperature, thermal, energy} |
| {equation, function, exp} |
| {trap, ion, state} |
| {operator, operators, space} |
| {wave, scattering, interference} |
| {cavity, atom, atoms} |
| {time, decoherence, evolution} |
| {cos, sin, state} |
| {light, field, probe} |
|
Theory of output coupling for trapped fermionic atoms
P. A. S. Pires Filho, C. L. Cesar, L. Davidovich
abstract: We develop a dynamic theory of output coupling, for fermionic atoms initially
confined in a magnetic trap. We consider an exactly soluble one-dimensional
model, with a spatially localized delta-type coupling between the atoms in the
trap and a continuum of free-particle external modes. Two important special
cases are considered for the confinement potential: the infinite box and the
harmonic oscillator. We establish that in both cases a bound state of the
coupled system appears for any value of the coupling constant, implying that
the trap population does not vanish in the infinite-time limit. For weak
coupling, the energy spectrum of the outgoing beam exhibits peaks corresponding
to the initially occupied energy levels in the trap; the height of these peaks
increases with the energy. As the coupling gets stronger, the energy spectrum
is displaced towards dressed energies of the fermions in the trap. The
corresponding dressed states result from the coupling between the unperturbed
fermionic states in the trap, mediated by the coupling between these states and
the continuum. In the strong-coupling limit, there is a reinforcement of the
lowest-energy dressed mode, which contributes to the energy spectrum of the
outgoing beam more strongly than the other modes. This effect is especially
pronounced for the one-dimensional box, which indicates that the efficiency of
the mode-reinforcement mechanism depends on the steepness of the confinement
potential. In this case, a quasi-monochromatic anti-bunched atomic beam is
obtained. Results for a bosonic sample are also shown for comparison.
- oai_identifier:
- oai:arXiv.org:quant-ph/0307230
- categories:
- quant-ph
- comments:
- 16 pages, 7 figures, added discussion on time-dependent spectral
distribution and corresponding figure
- doi:
- 10.1103/PhysRevA.69.023615
- arxiv_id:
- quant-ph/0307230
- journal_ref:
- Physical Review A, vol. 69, 023615 (2004)
- created:
- 2003-07-30
- updated:
- 2004-05-04
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