dorsal/arxiv
View SchemaTheory of output coupling for trapped fermionic atoms
| Authors | P. A. S. Pires Filho, C. L. Cesar, L. Davidovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307230 |
| URL | https://arxiv.org/abs/quant-ph/0307230 |
| DOI | 10.1103/PhysRevA.69.023615 |
| Journal | Physical Review A, vol. 69, 023615 (2004) |
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.
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"abstract": "We develop a dynamic theory of output coupling, for fermionic atoms initially\nconfined in a magnetic trap. We consider an exactly soluble one-dimensional\nmodel, with a spatially localized delta-type coupling between the atoms in the\ntrap and a continuum of free-particle external modes. Two important special\ncases are considered for the confinement potential: the infinite box and the\nharmonic oscillator. We establish that in both cases a bound state of the\ncoupled system appears for any value of the coupling constant, implying that\nthe trap population does not vanish in the infinite-time limit. For weak\ncoupling, the energy spectrum of the outgoing beam exhibits peaks corresponding\nto the initially occupied energy levels in the trap; the height of these peaks\nincreases with the energy. As the coupling gets stronger, the energy spectrum\nis displaced towards dressed energies of the fermions in the trap. The\ncorresponding dressed states result from the coupling between the unperturbed\nfermionic states in the trap, mediated by the coupling between these states and\nthe continuum. In the strong-coupling limit, there is a reinforcement of the\nlowest-energy dressed mode, which contributes to the energy spectrum of the\noutgoing beam more strongly than the other modes. This effect is especially\npronounced for the one-dimensional box, which indicates that the efficiency of\nthe mode-reinforcement mechanism depends on the steepness of the confinement\npotential. In this case, a quasi-monochromatic anti-bunched atomic beam is\nobtained. Results for a bosonic sample are also shown for comparison.",
"arxiv_id": "quant-ph/0307230",
"authors": [
"P. A. S. Pires Filho",
"C. L. Cesar",
"L. Davidovich"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.023615",
"journal_ref": "Physical Review A, vol. 69, 023615 (2004)",
"title": "Theory of output coupling for trapped fermionic atoms",
"url": "https://arxiv.org/abs/quant-ph/0307230"
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