Ultracold Bosons on a Regular Spherical Mesh
Here, the zero-temperature phase behavior of bosonic particles living on the nodes of a regular spherical mesh (“Platonic mesh”) and interacting through an extended Bose-Hubbard Hamiltonian has been studied. Only the hard-core version of the model for two instances of Platonic mesh is considered her...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-11-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/11/1289 |
| _version_ | 1797548029924868096 |
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| author | Santi Prestipino |
| author_facet | Santi Prestipino |
| author_sort | Santi Prestipino |
| collection | DOAJ |
| description | Here, the zero-temperature phase behavior of bosonic particles living on the nodes of a regular spherical mesh (“Platonic mesh”) and interacting through an extended Bose-Hubbard Hamiltonian has been studied. Only the hard-core version of the model for two instances of Platonic mesh is considered here. Using the mean-field decoupling approximation, it is shown that the system may exist in various ground states, which can be regarded as analogs of gas, solid, supersolid, and superfluid. For one mesh, by comparing the theoretical results with the outcome of numerical diagonalization, I manage to uncover the signatures of diagonal and off-diagonal spatial orders in a finite quantum system. |
| first_indexed | 2024-03-10T14:52:35Z |
| format | Article |
| id | doaj.art-1d92d891f1414909a862e8a154b1de22 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T14:52:35Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-1d92d891f1414909a862e8a154b1de222023-11-20T20:49:02ZengMDPI AGEntropy1099-43002020-11-012211128910.3390/e22111289Ultracold Bosons on a Regular Spherical MeshSanti Prestipino0Dipartimento di Scienze Matematiche ed Informatiche, Scienze Fisiche e Scienze della Terra, Università degli Studi di Messina, Viale F. Stagno d’Alcontres 31, 98166 Messina, ItalyHere, the zero-temperature phase behavior of bosonic particles living on the nodes of a regular spherical mesh (“Platonic mesh”) and interacting through an extended Bose-Hubbard Hamiltonian has been studied. Only the hard-core version of the model for two instances of Platonic mesh is considered here. Using the mean-field decoupling approximation, it is shown that the system may exist in various ground states, which can be regarded as analogs of gas, solid, supersolid, and superfluid. For one mesh, by comparing the theoretical results with the outcome of numerical diagonalization, I manage to uncover the signatures of diagonal and off-diagonal spatial orders in a finite quantum system.https://www.mdpi.com/1099-4300/22/11/1289ultracold quantum gasesquantum phase transitionsdecoupling approximationspherical boundary conditions |
| spellingShingle | Santi Prestipino Ultracold Bosons on a Regular Spherical Mesh Entropy ultracold quantum gases quantum phase transitions decoupling approximation spherical boundary conditions |
| title | Ultracold Bosons on a Regular Spherical Mesh |
| title_full | Ultracold Bosons on a Regular Spherical Mesh |
| title_fullStr | Ultracold Bosons on a Regular Spherical Mesh |
| title_full_unstemmed | Ultracold Bosons on a Regular Spherical Mesh |
| title_short | Ultracold Bosons on a Regular Spherical Mesh |
| title_sort | ultracold bosons on a regular spherical mesh |
| topic | ultracold quantum gases quantum phase transitions decoupling approximation spherical boundary conditions |
| url | https://www.mdpi.com/1099-4300/22/11/1289 |
| work_keys_str_mv | AT santiprestipino ultracoldbosonsonaregularsphericalmesh |