Boson-Gutzwiller quantum liquids on a lattice
We consider one-dimensional, interacting spinless bosons on a tight-binding lattice described by the Bose-Hubbard model. Besides attractive onsite two-body interactions, we include a three-body repulsive term such that the competition between these two forces allows the formation of self-bound liqui...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/lvqx-g5l2 |
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| author | Daniel Pérez-Cruz Manuel Valiente |
| author_facet | Daniel Pérez-Cruz Manuel Valiente |
| author_sort | Daniel Pérez-Cruz |
| collection | DOAJ |
| description | We consider one-dimensional, interacting spinless bosons on a tight-binding lattice described by the Bose-Hubbard model. Besides attractive onsite two-body interactions, we include a three-body repulsive term such that the competition between these two forces allows the formation of self-bound liquid states. We investigate the properties of this system using the Gutzwiller approximation, showing that, indeed, this mean-field approach also supports liquid states. We find that for densities lower than the equilibrium density, the Gutzwiller method and other mean-field approaches—such as the Gross-Pitaevskii theory—feature a sharp transition to the vacuum state. This, however, is avoided by considering local minima of the functional in the standard manner. We also study the excitation spectrum, and calculate the speed of sound, in full agreement with the usual expression obtained from the thermodynamic equation of state. We study their corresponding quantum droplets variationally and find that the results behave in accordance with the one-dimensional liquid-drop model. |
| format | Article |
| id | doaj-art-a31701c5c2db486d90c4786fc22020b1 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-a31701c5c2db486d90c4786fc22020b12025-08-20T03:27:10ZengAmerican Physical SocietyPhysical Review Research2643-15642025-06-017202331010.1103/lvqx-g5l2Boson-Gutzwiller quantum liquids on a latticeDaniel Pérez-CruzManuel ValienteWe consider one-dimensional, interacting spinless bosons on a tight-binding lattice described by the Bose-Hubbard model. Besides attractive onsite two-body interactions, we include a three-body repulsive term such that the competition between these two forces allows the formation of self-bound liquid states. We investigate the properties of this system using the Gutzwiller approximation, showing that, indeed, this mean-field approach also supports liquid states. We find that for densities lower than the equilibrium density, the Gutzwiller method and other mean-field approaches—such as the Gross-Pitaevskii theory—feature a sharp transition to the vacuum state. This, however, is avoided by considering local minima of the functional in the standard manner. We also study the excitation spectrum, and calculate the speed of sound, in full agreement with the usual expression obtained from the thermodynamic equation of state. We study their corresponding quantum droplets variationally and find that the results behave in accordance with the one-dimensional liquid-drop model.http://doi.org/10.1103/lvqx-g5l2 |
| spellingShingle | Daniel Pérez-Cruz Manuel Valiente Boson-Gutzwiller quantum liquids on a lattice Physical Review Research |
| title | Boson-Gutzwiller quantum liquids on a lattice |
| title_full | Boson-Gutzwiller quantum liquids on a lattice |
| title_fullStr | Boson-Gutzwiller quantum liquids on a lattice |
| title_full_unstemmed | Boson-Gutzwiller quantum liquids on a lattice |
| title_short | Boson-Gutzwiller quantum liquids on a lattice |
| title_sort | boson gutzwiller quantum liquids on a lattice |
| url | http://doi.org/10.1103/lvqx-g5l2 |
| work_keys_str_mv | AT danielperezcruz bosongutzwillerquantumliquidsonalattice AT manuelvaliente bosongutzwillerquantumliquidsonalattice |