Discrete Energies of a Weakly Outcoupled Atom Laser Beam Outside the Bose–Einstein Condensate Region
We consider the possibility of a discrete set of energies of a weakly outcoupled atom laser beam to the homogeneous Schrödinger equation with anisotropic harmonic trap in Cartesian coordinates outside the Bose–Einstein condensate region. This treatment is used because working in the cylindrical coor...
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| Format: | Article |
| Language: | English |
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Universitas Indonesia
2014-12-01
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| Series: | Makara Journal of Science |
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| Online Access: | http://journal.ui.ac.id/index.php/science/article/view/4340/3193 |
| _version_ | 1819230206054891520 |
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| author | Teguh Budi Prayitno |
| author_facet | Teguh Budi Prayitno |
| author_sort | Teguh Budi Prayitno |
| collection | DOAJ |
| description | We consider the possibility of a discrete set of energies of a weakly outcoupled atom laser beam to the homogeneous Schrödinger equation with anisotropic harmonic trap in Cartesian coordinates outside the Bose–Einstein condensate region. This treatment is used because working in the cylindrical coordinates is not really possible, even though we implement the cigar-shaped trap case. The Schrödinger equation appears to replace a set of two-coupled Gross– Pitaevskii equations by enabling the weak-coupling assumption. This atom laser can be produced in a simple way that only involves extracting the atoms in a condensate from by using the radio frequency field. We initially present the relation between condensates as sources and atom laser as an output by exploring the previous work of Riou et al. in the case of theoretical work for the propagation of atom laser beams. We also show that even though the discrete energies are obtained by means of an approaching harmonic oscillator, degeneracy is only available in two states because of the anisotropic external potential |
| first_indexed | 2024-12-23T11:25:23Z |
| format | Article |
| id | doaj.art-24bd441cd81a43dc99b06b9ac7028940 |
| institution | Directory Open Access Journal |
| issn | 2339-1995 2356-0851 |
| language | English |
| last_indexed | 2024-12-23T11:25:23Z |
| publishDate | 2014-12-01 |
| publisher | Universitas Indonesia |
| record_format | Article |
| series | Makara Journal of Science |
| spelling | doaj.art-24bd441cd81a43dc99b06b9ac70289402022-12-21T17:48:57ZengUniversitas IndonesiaMakara Journal of Science2339-19952356-08512014-12-0118411912210.7454/mss.v18i4.4340Discrete Energies of a Weakly Outcoupled Atom Laser Beam Outside the Bose–Einstein Condensate RegionTeguh Budi Prayitno0Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Jakarta, Jakarta 13220, IndonesiaWe consider the possibility of a discrete set of energies of a weakly outcoupled atom laser beam to the homogeneous Schrödinger equation with anisotropic harmonic trap in Cartesian coordinates outside the Bose–Einstein condensate region. This treatment is used because working in the cylindrical coordinates is not really possible, even though we implement the cigar-shaped trap case. The Schrödinger equation appears to replace a set of two-coupled Gross– Pitaevskii equations by enabling the weak-coupling assumption. This atom laser can be produced in a simple way that only involves extracting the atoms in a condensate from by using the radio frequency field. We initially present the relation between condensates as sources and atom laser as an output by exploring the previous work of Riou et al. in the case of theoretical work for the propagation of atom laser beams. We also show that even though the discrete energies are obtained by means of an approaching harmonic oscillator, degeneracy is only available in two states because of the anisotropic external potentialhttp://journal.ui.ac.id/index.php/science/article/view/4340/3193atom laserharmonic oscillatorBose–Einstein condensation |
| spellingShingle | Teguh Budi Prayitno Discrete Energies of a Weakly Outcoupled Atom Laser Beam Outside the Bose–Einstein Condensate Region Makara Journal of Science atom laser harmonic oscillator Bose–Einstein condensation |
| title | Discrete Energies of a Weakly Outcoupled Atom Laser Beam Outside the Bose–Einstein Condensate Region |
| title_full | Discrete Energies of a Weakly Outcoupled Atom Laser Beam Outside the Bose–Einstein Condensate Region |
| title_fullStr | Discrete Energies of a Weakly Outcoupled Atom Laser Beam Outside the Bose–Einstein Condensate Region |
| title_full_unstemmed | Discrete Energies of a Weakly Outcoupled Atom Laser Beam Outside the Bose–Einstein Condensate Region |
| title_short | Discrete Energies of a Weakly Outcoupled Atom Laser Beam Outside the Bose–Einstein Condensate Region |
| title_sort | discrete energies of a weakly outcoupled atom laser beam outside the bose einstein condensate region |
| topic | atom laser harmonic oscillator Bose–Einstein condensation |
| url | http://journal.ui.ac.id/index.php/science/article/view/4340/3193 |
| work_keys_str_mv | AT teguhbudiprayitno discreteenergiesofaweaklyoutcoupledatomlaserbeamoutsidetheboseeinsteincondensateregion |