Short-distance correlation properties of the Lieb-Liniger system and momentum distributions of trapped one-dimensional atomic gases
We derive exact closed-form expressions for the first few terms of the short-distance Taylor expansion of the one-body correlation function of the Lieb-Liniger gas. As an intermediate result, we obtain the high-p asymptotics of the momentum distribution of both free and harmonically trapped atoms an...
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| Published in: | Physical review letters Vol. 91; no. 9; p. 090401 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
United States
29-08-2003
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| Online Access: | Get full text |
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| Summary: | We derive exact closed-form expressions for the first few terms of the short-distance Taylor expansion of the one-body correlation function of the Lieb-Liniger gas. As an intermediate result, we obtain the high-p asymptotics of the momentum distribution of both free and harmonically trapped atoms and show that it obeys a universal 1/p(4) law for all values of the interaction strength. We discuss the ways to observe the predicted momentum distributions experimentally, regarding them as a sensitive identifier for the Tonks-Girardeau regime of strong correlations. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| ISSN: | 0031-9007 1079-7114 |
| DOI: | 10.1103/PhysRevLett.91.090401 |