Feshbach resonance management of Bose-Einstein condensates in optical lattices
We analyze gap solitons in trapped Bose-Einstein condensates (BECs) in optical lattice potentials under Feshbach resonance management. Starting with an averaged Gross-Pitaevsky equation with a periodic potential, we employ an envelope-wave approximation to derive coupled-mode equations describing th...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2006
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| _version_ | 1797068041740091392 |
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| author | Porter, M Chugunova, M Pelinovsky, D |
| author_facet | Porter, M Chugunova, M Pelinovsky, D |
| author_sort | Porter, M |
| collection | OXFORD |
| description | We analyze gap solitons in trapped Bose-Einstein condensates (BECs) in optical lattice potentials under Feshbach resonance management. Starting with an averaged Gross-Pitaevsky equation with a periodic potential, we employ an envelope-wave approximation to derive coupled-mode equations describing the slow BEC dynamics in the first spectral gap of the optical lattice. We construct exact analytical formulas describing gap soliton solutions and examine their spectral stability using the Chebyshev interpolation method. We show that these gap solitons are unstable far from the threshold of local bifurcation and that the instability results in the distortion of their shape. We also predict the threshold of the power of gap solitons near the local bifurcation limit. © 2006 U.S. Government. |
| first_indexed | 2024-03-06T22:05:01Z |
| format | Journal article |
| id | oxford-uuid:4fd5dedd-9d21-4a10-b878-f62390e36de5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:05:01Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:4fd5dedd-9d21-4a10-b878-f62390e36de52022-03-26T16:09:57ZFeshbach resonance management of Bose-Einstein condensates in optical latticesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4fd5dedd-9d21-4a10-b878-f62390e36de5EnglishSymplectic Elements at Oxford2006Porter, MChugunova, MPelinovsky, DWe analyze gap solitons in trapped Bose-Einstein condensates (BECs) in optical lattice potentials under Feshbach resonance management. Starting with an averaged Gross-Pitaevsky equation with a periodic potential, we employ an envelope-wave approximation to derive coupled-mode equations describing the slow BEC dynamics in the first spectral gap of the optical lattice. We construct exact analytical formulas describing gap soliton solutions and examine their spectral stability using the Chebyshev interpolation method. We show that these gap solitons are unstable far from the threshold of local bifurcation and that the instability results in the distortion of their shape. We also predict the threshold of the power of gap solitons near the local bifurcation limit. © 2006 U.S. Government. |
| spellingShingle | Porter, M Chugunova, M Pelinovsky, D Feshbach resonance management of Bose-Einstein condensates in optical lattices |
| title | Feshbach resonance management of Bose-Einstein condensates in optical lattices |
| title_full | Feshbach resonance management of Bose-Einstein condensates in optical lattices |
| title_fullStr | Feshbach resonance management of Bose-Einstein condensates in optical lattices |
| title_full_unstemmed | Feshbach resonance management of Bose-Einstein condensates in optical lattices |
| title_short | Feshbach resonance management of Bose-Einstein condensates in optical lattices |
| title_sort | feshbach resonance management of bose einstein condensates in optical lattices |
| work_keys_str_mv | AT porterm feshbachresonancemanagementofboseeinsteincondensatesinopticallattices AT chugunovam feshbachresonancemanagementofboseeinsteincondensatesinopticallattices AT pelinovskyd feshbachresonancemanagementofboseeinsteincondensatesinopticallattices |