Tan's two-body contact in a planar Bose gas: experiment vs theory Article Swipe
Adam Rançon
,
N. Dupuis
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1103/physrevlett.130.263401
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1103/physrevlett.130.263401
We determine the two-body contact in a planar Bose gas confined by a\ntransverse harmonic potential, using the nonperturbative functional\nrenormalization group. We use the three-dimensional thermodynamic definition of\nthe contact where the latter is related to the derivation of the pressure of\nthe quasi-two-dimensional system with respect to the three-dimensional\nscattering length of the bosons. Without any free parameter, we find a\nremarkable agreement with the experimental data of Zou {\\it et al.} [Nat. Comm.\n{\\bf 12}, 760 (2021)] from low to high temperatures, including the vicinity of\nthe Berezinskii-Kosterlitz-Thouless transition. We also show that the\nshort-distance behavior of the pair distribution function and the high-momentum\nbehavior of the momentum distribution are determined by two contacts: the\nthree-dimensional contact for length scales smaller than the characteristic\nlength $\\ell_z=\\sqrt{\\hbar/m\\omega_z}$ of the harmonic potential and, for\nlength scales larger than $\\ell_z$, an effective two-dimensional contact,\nrelated to the three-dimensional one by a geometric factor depending on\n$\\ell_z$.\n
Related Topics
Concepts
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2212.06857
- https://arxiv.org/pdf/2212.06857
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4364360487
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4364360487Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1103/physrevlett.130.263401Digital Object Identifier
- Title
-
Tan's two-body contact in a planar Bose gas: experiment vs theoryWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2022Year of publication
- Publication date
-
2022-12-13Full publication date if available
- Authors
-
Adam Rançon, N. DupuisList of authors in order
- Landing page
-
https://arxiv.org/abs/2212.06857Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2212.06857Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2212.06857Direct OA link when available
- Concepts
-
Bose gas, Planar, Physics, Mathematics, Combinatorics, Condensed matter physics, Computer science, Bose–Einstein condensate, Computer graphics (images)Top concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4364360487 |
|---|---|
| doi | https://doi.org/10.1103/physrevlett.130.263401 |
| ids.openalex | https://openalex.org/W4364360487 |
| fwci | 0.0 |
| type | preprint |
| title | Tan's two-body contact in a planar Bose gas: experiment vs theory |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T10425 |
| topics[0].field.id | https://openalex.org/fields/31 |
| topics[0].field.display_name | Physics and Astronomy |
| topics[0].score | 0.9998999834060669 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/3107 |
| topics[0].subfield.display_name | Atomic and Molecular Physics, and Optics |
| topics[0].display_name | Cold Atom Physics and Bose-Einstein Condensates |
| topics[1].id | https://openalex.org/T11965 |
| topics[1].field.id | https://openalex.org/fields/31 |
| topics[1].field.display_name | Physics and Astronomy |
| topics[1].score | 0.9990000128746033 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/3107 |
| topics[1].subfield.display_name | Atomic and Molecular Physics, and Optics |
| topics[1].display_name | Quantum, superfluid, helium dynamics |
| topics[2].id | https://openalex.org/T10037 |
| topics[2].field.id | https://openalex.org/fields/31 |
| topics[2].field.display_name | Physics and Astronomy |
| topics[2].score | 0.9939000010490417 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/3104 |
| topics[2].subfield.display_name | Condensed Matter Physics |
| topics[2].display_name | Physics of Superconductivity and Magnetism |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C204514805 |
| concepts[0].level | 3 |
| concepts[0].score | 0.8402355909347534 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q1143503 |
| concepts[0].display_name | Bose gas |
| concepts[1].id | https://openalex.org/C134786449 |
| concepts[1].level | 2 |
| concepts[1].score | 0.7645968198776245 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q3391255 |
| concepts[1].display_name | Planar |
| concepts[2].id | https://openalex.org/C121332964 |
| concepts[2].level | 0 |
| concepts[2].score | 0.445110946893692 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[2].display_name | Physics |
| concepts[3].id | https://openalex.org/C33923547 |
| concepts[3].level | 0 |
| concepts[3].score | 0.38334864377975464 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[3].display_name | Mathematics |
| concepts[4].id | https://openalex.org/C114614502 |
| concepts[4].level | 1 |
| concepts[4].score | 0.3277483582496643 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q76592 |
| concepts[4].display_name | Combinatorics |
| concepts[5].id | https://openalex.org/C26873012 |
| concepts[5].level | 1 |
| concepts[5].score | 0.24741306900978088 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q214781 |
| concepts[5].display_name | Condensed matter physics |
| concepts[6].id | https://openalex.org/C41008148 |
| concepts[6].level | 0 |
| concepts[6].score | 0.17504215240478516 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[6].display_name | Computer science |
| concepts[7].id | https://openalex.org/C37589322 |
| concepts[7].level | 2 |
| concepts[7].score | 0.12003174424171448 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q46202 |
| concepts[7].display_name | Bose–Einstein condensate |
| concepts[8].id | https://openalex.org/C121684516 |
| concepts[8].level | 1 |
| concepts[8].score | 0.05533328652381897 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q7600677 |
| concepts[8].display_name | Computer graphics (images) |
| keywords[0].id | https://openalex.org/keywords/bose-gas |
| keywords[0].score | 0.8402355909347534 |
| keywords[0].display_name | Bose gas |
| keywords[1].id | https://openalex.org/keywords/planar |
| keywords[1].score | 0.7645968198776245 |
| keywords[1].display_name | Planar |
| keywords[2].id | https://openalex.org/keywords/physics |
| keywords[2].score | 0.445110946893692 |
| keywords[2].display_name | Physics |
| keywords[3].id | https://openalex.org/keywords/mathematics |
| keywords[3].score | 0.38334864377975464 |
| keywords[3].display_name | Mathematics |
| keywords[4].id | https://openalex.org/keywords/combinatorics |
| keywords[4].score | 0.3277483582496643 |
| keywords[4].display_name | Combinatorics |
| keywords[5].id | https://openalex.org/keywords/condensed-matter-physics |
| keywords[5].score | 0.24741306900978088 |
| keywords[5].display_name | Condensed matter physics |
| keywords[6].id | https://openalex.org/keywords/computer-science |
| keywords[6].score | 0.17504215240478516 |
| keywords[6].display_name | Computer science |
| keywords[7].id | https://openalex.org/keywords/bose–einstein-condensate |
| keywords[7].score | 0.12003174424171448 |
| keywords[7].display_name | Bose–Einstein condensate |
| keywords[8].id | https://openalex.org/keywords/computer-graphics |
| keywords[8].score | 0.05533328652381897 |
| keywords[8].display_name | Computer graphics (images) |
| language | en |
| locations[0].id | pmh:oai:arXiv.org:2212.06857 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400194 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | arXiv (Cornell University) |
| locations[0].source.host_organization | https://openalex.org/I205783295 |
| locations[0].source.host_organization_name | Cornell University |
| locations[0].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[0].license | |
| locations[0].pdf_url | https://arxiv.org/pdf/2212.06857 |
| locations[0].version | publishedVersion |
| locations[0].raw_type | text |
| locations[0].license_id | |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | |
| locations[0].landing_page_url | http://arxiv.org/abs/2212.06857 |
| indexed_in | arxiv |
| authorships[0].author.id | https://openalex.org/A5034884486 |
| authorships[0].author.orcid | https://orcid.org/0000-0002-7044-5035 |
| authorships[0].author.display_name | Adam Rançon |
| authorships[0].countries | FR |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I4210160651 |
| authorships[0].affiliations[0].raw_affiliation_string | Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 |
| authorships[0].institutions[0].id | https://openalex.org/I4210160651 |
| authorships[0].institutions[0].ror | https://ror.org/04e89s906 |
| authorships[0].institutions[0].type | facility |
| authorships[0].institutions[0].lineage | https://openalex.org/I1294671590, https://openalex.org/I1294671590, https://openalex.org/I2279609970, https://openalex.org/I4210098836, https://openalex.org/I4210160651 |
| authorships[0].institutions[0].country_code | FR |
| authorships[0].institutions[0].display_name | Laboratoire de Physique des Lasers, Atomes et Molécules |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Adam Rançon |
| authorships[0].is_corresponding | False |
| authorships[0].raw_affiliation_strings | Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 |
| authorships[1].author.id | https://openalex.org/A5078731679 |
| authorships[1].author.orcid | https://orcid.org/0000-0001-7710-4084 |
| authorships[1].author.display_name | N. Dupuis |
| authorships[1].countries | FR |
| authorships[1].affiliations[0].institution_ids | https://openalex.org/I4210140797 |
| authorships[1].affiliations[0].raw_affiliation_string | Laboratoire de Physique Théorique de la Matière Condensée |
| authorships[1].institutions[0].id | https://openalex.org/I4210140797 |
| authorships[1].institutions[0].ror | https://ror.org/04zaaa143 |
| authorships[1].institutions[0].type | facility |
| authorships[1].institutions[0].lineage | https://openalex.org/I1294671590, https://openalex.org/I1294671590, https://openalex.org/I39804081, https://openalex.org/I4210098836, https://openalex.org/I4210140797 |
| authorships[1].institutions[0].country_code | FR |
| authorships[1].institutions[0].display_name | Laboratoire de Physique Théorique de la Matière Condensée |
| authorships[1].author_position | last |
| authorships[1].raw_author_name | Nicolas Dupuis |
| authorships[1].is_corresponding | False |
| authorships[1].raw_affiliation_strings | Laboratoire de Physique Théorique de la Matière Condensée |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://arxiv.org/pdf/2212.06857 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | Tan's two-body contact in a planar Bose gas: experiment vs theory |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T10425 |
| primary_topic.field.id | https://openalex.org/fields/31 |
| primary_topic.field.display_name | Physics and Astronomy |
| primary_topic.score | 0.9998999834060669 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/3107 |
| primary_topic.subfield.display_name | Atomic and Molecular Physics, and Optics |
| primary_topic.display_name | Cold Atom Physics and Bose-Einstein Condensates |
| related_works | https://openalex.org/W2935759653, https://openalex.org/W3105167352, https://openalex.org/W54078636, https://openalex.org/W2954470139, https://openalex.org/W1501425562, https://openalex.org/W2902782467, https://openalex.org/W3084825885, https://openalex.org/W2298861036, https://openalex.org/W3148032049, https://openalex.org/W2271181815 |
| cited_by_count | 0 |
| locations_count | 1 |
| best_oa_location.id | pmh:oai:arXiv.org:2212.06857 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://arxiv.org/pdf/2212.06857 |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | text |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | http://arxiv.org/abs/2212.06857 |
| primary_location.id | pmh:oai:arXiv.org:2212.06857 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400194 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | arXiv (Cornell University) |
| primary_location.source.host_organization | https://openalex.org/I205783295 |
| primary_location.source.host_organization_name | Cornell University |
| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | |
| primary_location.pdf_url | https://arxiv.org/pdf/2212.06857 |
| primary_location.version | publishedVersion |
| primary_location.raw_type | text |
| primary_location.license_id | |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/2212.06857 |
| publication_date | 2022-12-13 |
| publication_year | 2022 |
| referenced_works_count | 0 |
| abstract_inverted_index.a | 6, 136 |
| abstract_inverted_index.We | 0, 20, 84 |
| abstract_inverted_index.an | 127 |
| abstract_inverted_index.by | 11, 104, 135 |
| abstract_inverted_index.et | 66 |
| abstract_inverted_index.in | 5 |
| abstract_inverted_index.is | 31 |
| abstract_inverted_index.of | 36, 48, 63, 90, 98, 117 |
| abstract_inverted_index.to | 33, 44, 75, 131 |
| abstract_inverted_index.we | 55 |
| abstract_inverted_index.760 | 71 |
| abstract_inverted_index.Zou | 64 |
| abstract_inverted_index.and | 95 |
| abstract_inverted_index.any | 52 |
| abstract_inverted_index.are | 102 |
| abstract_inverted_index.for | 109 |
| abstract_inverted_index.gas | 9 |
| abstract_inverted_index.low | 74 |
| abstract_inverted_index.one | 134 |
| abstract_inverted_index.the | 2, 16, 22, 29, 34, 37, 45, 49, 60, 79, 91, 96, 99, 114, 118, 132 |
| abstract_inverted_index.two | 105 |
| abstract_inverted_index.use | 21 |
| abstract_inverted_index.12}, | 70 |
| abstract_inverted_index.Bose | 8 |
| abstract_inverted_index.al.} | 67 |
| abstract_inverted_index.also | 85 |
| abstract_inverted_index.and, | 121 |
| abstract_inverted_index.data | 62 |
| abstract_inverted_index.find | 56 |
| abstract_inverted_index.free | 53 |
| abstract_inverted_index.from | 73 |
| abstract_inverted_index.high | 76 |
| abstract_inverted_index.pair | 92 |
| abstract_inverted_index.show | 86 |
| abstract_inverted_index.than | 113, 125 |
| abstract_inverted_index.that | 87 |
| abstract_inverted_index.with | 42, 59 |
| abstract_inverted_index.[Nat. | 68 |
| abstract_inverted_index.using | 15 |
| abstract_inverted_index.where | 28 |
| abstract_inverted_index.{\\it | 65 |
| abstract_inverted_index.factor | 138 |
| abstract_inverted_index.group. | 19 |
| abstract_inverted_index.larger | 124 |
| abstract_inverted_index.latter | 30 |
| abstract_inverted_index.length | 47, 110 |
| abstract_inverted_index.planar | 7 |
| abstract_inverted_index.scales | 111, 123 |
| abstract_inverted_index.system | 41 |
| abstract_inverted_index.(2021)] | 72 |
| abstract_inverted_index.Without | 51 |
| abstract_inverted_index.bosons. | 50 |
| abstract_inverted_index.contact | 4, 27, 108 |
| abstract_inverted_index.of\nthe | 26, 39, 81 |
| abstract_inverted_index.related | 32 |
| abstract_inverted_index.respect | 43 |
| abstract_inverted_index.smaller | 112 |
| abstract_inverted_index.behavior | 89 |
| abstract_inverted_index.confined | 10 |
| abstract_inverted_index.function | 94 |
| abstract_inverted_index.harmonic | 13, 119 |
| abstract_inverted_index.momentum | 100 |
| abstract_inverted_index.pressure | 38 |
| abstract_inverted_index.two-body | 3 |
| abstract_inverted_index.vicinity | 80 |
| abstract_inverted_index.agreement | 58 |
| abstract_inverted_index.contacts: | 106 |
| abstract_inverted_index.depending | 139 |
| abstract_inverted_index.determine | 1 |
| abstract_inverted_index.effective | 128 |
| abstract_inverted_index.geometric | 137 |
| abstract_inverted_index.including | 78 |
| abstract_inverted_index.potential | 120 |
| abstract_inverted_index.$\\ell_z$, | 126 |
| abstract_inverted_index.definition | 25 |
| abstract_inverted_index.derivation | 35 |
| abstract_inverted_index.determined | 103 |
| abstract_inverted_index.parameter, | 54 |
| abstract_inverted_index.potential, | 14 |
| abstract_inverted_index.for\nlength | 122 |
| abstract_inverted_index.transition. | 83 |
| abstract_inverted_index.Comm.\n{\\bf | 69 |
| abstract_inverted_index.distribution | 93, 101 |
| abstract_inverted_index.experimental | 61 |
| abstract_inverted_index.a\nremarkable | 57 |
| abstract_inverted_index.a\ntransverse | 12 |
| abstract_inverted_index.temperatures, | 77 |
| abstract_inverted_index.thermodynamic | 24 |
| abstract_inverted_index.nonperturbative | 17 |
| abstract_inverted_index.two-dimensional | 129 |
| abstract_inverted_index.on\n$\\ell_z$.\n | 140 |
| abstract_inverted_index.contact,\nrelated | 130 |
| abstract_inverted_index.three-dimensional | 23, 133 |
| abstract_inverted_index.the\nshort-distance | 88 |
| abstract_inverted_index.quasi-two-dimensional | 40 |
| abstract_inverted_index.characteristic\nlength | 115 |
| abstract_inverted_index.the\nthree-dimensional | 107 |
| abstract_inverted_index.high-momentum\nbehavior | 97 |
| abstract_inverted_index.functional\nrenormalization | 18 |
| abstract_inverted_index.three-dimensional\nscattering | 46 |
| abstract_inverted_index.Berezinskii-Kosterlitz-Thouless | 82 |
| abstract_inverted_index.$\\ell_z=\\sqrt{\\hbar/m\\omega_z}$ | 116 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.19676567 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |