A new second-order upper bound for the ground state energy of dilute Bose gases
We establish an upper bound for the ground state energy per unit volume of a dilute Bose gas in the thermodynamic limit, capturing the correct second-order term, as predicted by the Lee–Huang–Yang formula. This result was first established in [20] by H.-T. Yau and J. Yin. Our proof, which applies to...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2021-01-01
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| Series: | Forum of Mathematics, Sigma |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509421000669/type/journal_article |
| _version_ | 1811156208572170240 |
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| author | Giulia Basti Serena Cenatiempo Benjamin Schlein |
| author_facet | Giulia Basti Serena Cenatiempo Benjamin Schlein |
| author_sort | Giulia Basti |
| collection | DOAJ |
| description | We establish an upper bound for the ground state energy per unit volume of a dilute Bose gas in the thermodynamic limit, capturing the correct second-order term, as predicted by the Lee–Huang–Yang formula. This result was first established in [20] by H.-T. Yau and J. Yin. Our proof, which applies to repulsive and compactly supported
$V \in L^3 (\mathbb {R}^3)$
, gives better rates and, in our opinion, is substantially simpler. |
| first_indexed | 2024-04-10T04:47:41Z |
| format | Article |
| id | doaj.art-e00c9a428f2848d8ba8a24c78f70bef0 |
| institution | Directory Open Access Journal |
| issn | 2050-5094 |
| language | English |
| last_indexed | 2024-04-10T04:47:41Z |
| publishDate | 2021-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj.art-e00c9a428f2848d8ba8a24c78f70bef02023-03-09T12:34:52ZengCambridge University PressForum of Mathematics, Sigma2050-50942021-01-01910.1017/fms.2021.66A new second-order upper bound for the ground state energy of dilute Bose gasesGiulia Basti0https://orcid.org/0000-0002-3745-6293Serena Cenatiempo1https://orcid.org/0000-0002-8667-8300Benjamin Schlein2https://orcid.org/0000-0003-0910-9136Mathematics Area, Gran Sasso Science Institute, Viale Francesco Crispi 7, 67100 L’Aquila, Italy; E-mail:Mathematics Area, Gran Sasso Science Institute, Viale Francesco Crispi 7, 67100 L’Aquila, Italy; E-mail:Institute of Mathematics, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland; E-mail:We establish an upper bound for the ground state energy per unit volume of a dilute Bose gas in the thermodynamic limit, capturing the correct second-order term, as predicted by the Lee–Huang–Yang formula. This result was first established in [20] by H.-T. Yau and J. Yin. Our proof, which applies to repulsive and compactly supported $V \in L^3 (\mathbb {R}^3)$ , gives better rates and, in our opinion, is substantially simpler.https://www.cambridge.org/core/product/identifier/S2050509421000669/type/journal_articledilute Bose gasesLee-Huang-Yang formulaThermodynamic limitInteracting bosonsBose-Einstein condensation46N5081V7081V7382B1082B2782D03 |
| spellingShingle | Giulia Basti Serena Cenatiempo Benjamin Schlein A new second-order upper bound for the ground state energy of dilute Bose gases Forum of Mathematics, Sigma dilute Bose gases Lee-Huang-Yang formula Thermodynamic limit Interacting bosons Bose-Einstein condensation 46N50 81V70 81V73 82B10 82B27 82D03 |
| title | A new second-order upper bound for the ground state energy of dilute Bose gases |
| title_full | A new second-order upper bound for the ground state energy of dilute Bose gases |
| title_fullStr | A new second-order upper bound for the ground state energy of dilute Bose gases |
| title_full_unstemmed | A new second-order upper bound for the ground state energy of dilute Bose gases |
| title_short | A new second-order upper bound for the ground state energy of dilute Bose gases |
| title_sort | new second order upper bound for the ground state energy of dilute bose gases |
| topic | dilute Bose gases Lee-Huang-Yang formula Thermodynamic limit Interacting bosons Bose-Einstein condensation 46N50 81V70 81V73 82B10 82B27 82D03 |
| url | https://www.cambridge.org/core/product/identifier/S2050509421000669/type/journal_article |
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