Excited stationary states of trapped Bose-Einstein condensates
We investigate the excited stationary states of Bose-Einstein condensates trapped in harmonic potentials. We derive simple analytical approximations of the first few eigenstates of the associated time-independent one-dimensional Gross-Pitaevskii equation and their energies. Our results are excited s...
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| creator | Vaccaro, John A Steuernagel, Ole Lorimer, Ben |
| description | We investigate the excited stationary states of Bose-Einstein condensates
trapped in harmonic potentials. We derive simple analytical approximations of
the first few eigenstates of the associated time-independent one-dimensional
Gross-Pitaevskii equation and their energies. Our results are excited state
generalizations of the Thomas-Fermi approximation of the ground state. |
| doi_str_mv | 10.48550/arxiv.cond-mat/0007233 |
| format | Article |
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trapped in harmonic potentials. We derive simple analytical approximations of
the first few eigenstates of the associated time-independent one-dimensional
Gross-Pitaevskii equation and their energies. Our results are excited state
generalizations of the Thomas-Fermi approximation of the ground state.</description><identifier>DOI: 10.48550/arxiv.cond-mat/0007233</identifier><language>eng</language><subject>Physics - Disordered Systems and Neural Networks ; Physics - Materials Science ; Physics - Mesoscale and Nanoscale Physics ; Physics - Other Condensed Matter ; Physics - Quantum Gases ; Physics - Soft Condensed Matter ; Physics - Statistical Mechanics ; Physics - Strongly Correlated Electrons ; Physics - Superconductivity</subject><creationdate>2000-07</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/cond-mat/0007233$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.cond-mat/0007233$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Vaccaro, John A</creatorcontrib><creatorcontrib>Steuernagel, Ole</creatorcontrib><creatorcontrib>Lorimer, Ben</creatorcontrib><title>Excited stationary states of trapped Bose-Einstein condensates</title><description>We investigate the excited stationary states of Bose-Einstein condensates
trapped in harmonic potentials. We derive simple analytical approximations of
the first few eigenstates of the associated time-independent one-dimensional
Gross-Pitaevskii equation and their energies. Our results are excited state
generalizations of the Thomas-Fermi approximation of the ground state.</description><subject>Physics - Disordered Systems and Neural Networks</subject><subject>Physics - Materials Science</subject><subject>Physics - Mesoscale and Nanoscale Physics</subject><subject>Physics - Other Condensed Matter</subject><subject>Physics - Quantum Gases</subject><subject>Physics - Soft Condensed Matter</subject><subject>Physics - Statistical Mechanics</subject><subject>Physics - Strongly Correlated Electrons</subject><subject>Physics - Superconductivity</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2000</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotjz9rwzAUxLVkKGk_Q71kVCLpyVayFNLg_oFAluzmSXoCQSIbS5T029dOM93BHcf9GHuVYq23dS02ON7iz9r1yfMrlo0QwiiAJ_bW3lws5KtcsMQ-4fh7t5SrPlRlxGGYwvc-E29jyoViquYVSnkuPbNFwEuml4cu2fmjPR---PH0-X3YHzmaHXAFQUiPINSWjLXQGAcArlHeyAZR2YZ0QC93wQmoJVltSWtVG0XBWPCwZKv_2TtGN4zxOh3t5iPdhNM9cOAP40xJSQ</recordid><startdate>20000713</startdate><enddate>20000713</enddate><creator>Vaccaro, John A</creator><creator>Steuernagel, Ole</creator><creator>Lorimer, Ben</creator><scope>GOX</scope></search><sort><creationdate>20000713</creationdate><title>Excited stationary states of trapped Bose-Einstein condensates</title><author>Vaccaro, John A ; Steuernagel, Ole ; Lorimer, Ben</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a793-23f01da3028e7bb367c333c62d716aa2b6e4fad19fc0351eb4be442572ef7b3d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2000</creationdate><topic>Physics - Disordered Systems and Neural Networks</topic><topic>Physics - Materials Science</topic><topic>Physics - Mesoscale and Nanoscale Physics</topic><topic>Physics - Other Condensed Matter</topic><topic>Physics - Quantum Gases</topic><topic>Physics - Soft Condensed Matter</topic><topic>Physics - Statistical Mechanics</topic><topic>Physics - Strongly Correlated Electrons</topic><topic>Physics - Superconductivity</topic><toplevel>online_resources</toplevel><creatorcontrib>Vaccaro, John A</creatorcontrib><creatorcontrib>Steuernagel, Ole</creatorcontrib><creatorcontrib>Lorimer, Ben</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Vaccaro, John A</au><au>Steuernagel, Ole</au><au>Lorimer, Ben</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Excited stationary states of trapped Bose-Einstein condensates</atitle><date>2000-07-13</date><risdate>2000</risdate><abstract>We investigate the excited stationary states of Bose-Einstein condensates
trapped in harmonic potentials. We derive simple analytical approximations of
the first few eigenstates of the associated time-independent one-dimensional
Gross-Pitaevskii equation and their energies. Our results are excited state
generalizations of the Thomas-Fermi approximation of the ground state.</abstract><doi>10.48550/arxiv.cond-mat/0007233</doi><oa>free_for_read</oa></addata></record> |
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| identifier | DOI: 10.48550/arxiv.cond-mat/0007233 |
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| subjects | Physics - Disordered Systems and Neural Networks Physics - Materials Science Physics - Mesoscale and Nanoscale Physics Physics - Other Condensed Matter Physics - Quantum Gases Physics - Soft Condensed Matter Physics - Statistical Mechanics Physics - Strongly Correlated Electrons Physics - Superconductivity |
| title | Excited stationary states of trapped Bose-Einstein condensates |
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