dorsal/arxiv
View SchemaInstantons and radial excitations in attractive Bose-Einstein condensates
| Authors | Janusz Skalski |
|---|---|
| Categories | |
| ArXiv ID | physics/0111178 |
| URL | https://arxiv.org/abs/physics/0111178 |
| DOI | 10.1103/PhysRevA.65.033626 |
Abstract
Imaginary- and real-time versions of an equation for the condensate density are presented which describe dynamics and decay of any spherical Bose-Einstein condensate (BEC) within the mean field appraoch. We obtain quantized energies of collective finite amplitude radial oscillations and exact numerical instanton solutions which describe quantum tunneling from both the metastable and radially excited states of the BEC of 7Li atoms. The mass parameter for the radial motion is found different from the gaussian value assumed hitherto, but the effect of this difference on decay exponents is small. The collective breathing states form slightly compressed harmonic spectrum, n=4 state lying lower than the second Bogolyubov (small amplitude) mode. The decay of these states, if excited, may simulate a shorter than true lifetime of the metastable state. By scaling arguments, results extend to other attractive BEC-s.
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"date_created": "2026-03-02T18:00:36.123000Z",
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"abstract": "Imaginary- and real-time versions of an equation for the condensate density\nare presented which describe dynamics and decay of any spherical Bose-Einstein\ncondensate (BEC) within the mean field appraoch. We obtain quantized energies\nof collective finite amplitude radial oscillations and exact numerical\ninstanton solutions which describe quantum tunneling from both the metastable\nand radially excited states of the BEC of 7Li atoms. The mass parameter for the\nradial motion is found different from the gaussian value assumed hitherto, but\nthe effect of this difference on decay exponents is small. The collective\nbreathing states form slightly compressed harmonic spectrum, n=4 state lying\nlower than the second Bogolyubov (small amplitude) mode. The decay of these\nstates, if excited, may simulate a shorter than true lifetime of the metastable\nstate. By scaling arguments, results extend to other attractive BEC-s.",
"arxiv_id": "physics/0111178",
"authors": [
"Janusz Skalski"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.65.033626",
"title": "Instantons and radial excitations in attractive Bose-Einstein condensates",
"url": "https://arxiv.org/abs/physics/0111178"
},
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