Two-Body and Three-Body Contacts for Identical Bosons near Unitarity
In a recent experiment with ultracold trapped [superscript 85]Rb atoms, Makotyn et al. studied a quantum-degenerate Bose gas in the unitary limit where its scattering length is infinitely large. We show that the observed momentum distributions are compatible with a universal relation that expresses...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/89018 |
| _version_ | 1811073034002366464 |
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| author | Smith, D. Hudson Braaten, Eric Kang, Daekyoung Platter, Lucas |
| author2 | Massachusetts Institute of Technology. Laboratory for Nuclear Science |
| author_facet | Massachusetts Institute of Technology. Laboratory for Nuclear Science Smith, D. Hudson Braaten, Eric Kang, Daekyoung Platter, Lucas |
| author_sort | Smith, D. Hudson |
| collection | MIT |
| description | In a recent experiment with ultracold trapped [superscript 85]Rb atoms, Makotyn et al. studied a quantum-degenerate Bose gas in the unitary limit where its scattering length is infinitely large. We show that the observed momentum distributions are compatible with a universal relation that expresses the high-momentum tail in terms of the two-body contact C[subscript 2] and the three-body contact C[subscript 3]. We determine the contact densities for the unitary Bose gas with number density n to be C[subscript 2] ≈ 20n[superscript 4/3] and C[subscript 3] ≈ 2n[superscript 5/3]. We also show that the observed atom loss rate is compatible with that from 3-atom inelastic collisions, which gives a contribution proportional to C[subscript 3], but the loss rate is not compatible with that from 2-atom inelastic collisions, which gives a contribution proportional to C[subscript 2]. We point out that the contacts C[subscript 2] and C[subscript 3] could be measured independently by using the virial theorem near and at unitarity, respectively. |
| first_indexed | 2024-09-23T09:27:34Z |
| format | Article |
| id | mit-1721.1/89018 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:27:34Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/890182022-09-26T11:30:21Z Two-Body and Three-Body Contacts for Identical Bosons near Unitarity Smith, D. Hudson Braaten, Eric Kang, Daekyoung Platter, Lucas Massachusetts Institute of Technology. Laboratory for Nuclear Science Kang, Daekyoung In a recent experiment with ultracold trapped [superscript 85]Rb atoms, Makotyn et al. studied a quantum-degenerate Bose gas in the unitary limit where its scattering length is infinitely large. We show that the observed momentum distributions are compatible with a universal relation that expresses the high-momentum tail in terms of the two-body contact C[subscript 2] and the three-body contact C[subscript 3]. We determine the contact densities for the unitary Bose gas with number density n to be C[subscript 2] ≈ 20n[superscript 4/3] and C[subscript 3] ≈ 2n[superscript 5/3]. We also show that the observed atom loss rate is compatible with that from 3-atom inelastic collisions, which gives a contribution proportional to C[subscript 3], but the loss rate is not compatible with that from 2-atom inelastic collisions, which gives a contribution proportional to C[subscript 2]. We point out that the contacts C[subscript 2] and C[subscript 3] could be measured independently by using the virial theorem near and at unitarity, respectively. National Science Foundation (U.S.) (Grant PHY-1310862) United States. Dept. of Energy. Office of Nuclear Physics (Contract DE-AC02-06CH11357) United States. Dept. of Energy. Office of Nuclear Physics (Contract DE-FG02-94ER40818) 2014-08-25T14:53:53Z 2014-08-25T14:53:53Z 2014-03 2013-09 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/89018 Smith, D. Hudson, Eric Braaten, Daekyoung Kang, and Lucas Platter. “Two-Body and Three-Body Contacts for Identical Bosons Near Unitarity.” Physical Review Letters 112, no. 11 (March 2014). © 2014 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevLett.112.110402 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society American Physical Society |
| spellingShingle | Smith, D. Hudson Braaten, Eric Kang, Daekyoung Platter, Lucas Two-Body and Three-Body Contacts for Identical Bosons near Unitarity |
| title | Two-Body and Three-Body Contacts for Identical Bosons near Unitarity |
| title_full | Two-Body and Three-Body Contacts for Identical Bosons near Unitarity |
| title_fullStr | Two-Body and Three-Body Contacts for Identical Bosons near Unitarity |
| title_full_unstemmed | Two-Body and Three-Body Contacts for Identical Bosons near Unitarity |
| title_short | Two-Body and Three-Body Contacts for Identical Bosons near Unitarity |
| title_sort | two body and three body contacts for identical bosons near unitarity |
| url | http://hdl.handle.net/1721.1/89018 |
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