Universality of quantum liquids and droplets in one dimension
We consider interacting one-dimensional bosons in the universal low-energy regime. The interactions consist of a combination of attractive and repulsive parts that can stabilize quantum gases, droplets, and liquids. In particular, we study the role of effective three-body repulsion, in systems with...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-11-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.L042024 |
| _version_ | 1827285430881484800 |
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| author | Ivan Morera Bruno Juliá-Díaz Manuel Valiente |
| author_facet | Ivan Morera Bruno Juliá-Díaz Manuel Valiente |
| author_sort | Ivan Morera |
| collection | DOAJ |
| description | We consider interacting one-dimensional bosons in the universal low-energy regime. The interactions consist of a combination of attractive and repulsive parts that can stabilize quantum gases, droplets, and liquids. In particular, we study the role of effective three-body repulsion, in systems with weak attractive pairwise interactions. Its low-energy description is often argued to be equivalent to a model including only two-body interactions with nonzero range. Here, we show that, at zero temperature, the equations of state in both theories agree quantitatively at low densities for overall repulsion, in the gas phase. However, this agreement is absent in the attractive regime, where universality only occurs in the long-distance properties of quantum droplets. We develop analytical tools to investigate the properties of the theory and obtain astounding agreement with exact numerical calculations using the density-matrix renormalization group. |
| first_indexed | 2024-04-24T10:13:27Z |
| format | Article |
| id | doaj.art-f7876b894e524c30840cfc006e80cbe3 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:13:27Z |
| publishDate | 2022-11-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-f7876b894e524c30840cfc006e80cbe32024-04-12T17:26:01ZengAmerican Physical SocietyPhysical Review Research2643-15642022-11-0144L04202410.1103/PhysRevResearch.4.L042024Universality of quantum liquids and droplets in one dimensionIvan MoreraBruno Juliá-DíazManuel ValienteWe consider interacting one-dimensional bosons in the universal low-energy regime. The interactions consist of a combination of attractive and repulsive parts that can stabilize quantum gases, droplets, and liquids. In particular, we study the role of effective three-body repulsion, in systems with weak attractive pairwise interactions. Its low-energy description is often argued to be equivalent to a model including only two-body interactions with nonzero range. Here, we show that, at zero temperature, the equations of state in both theories agree quantitatively at low densities for overall repulsion, in the gas phase. However, this agreement is absent in the attractive regime, where universality only occurs in the long-distance properties of quantum droplets. We develop analytical tools to investigate the properties of the theory and obtain astounding agreement with exact numerical calculations using the density-matrix renormalization group.http://doi.org/10.1103/PhysRevResearch.4.L042024 |
| spellingShingle | Ivan Morera Bruno Juliá-Díaz Manuel Valiente Universality of quantum liquids and droplets in one dimension Physical Review Research |
| title | Universality of quantum liquids and droplets in one dimension |
| title_full | Universality of quantum liquids and droplets in one dimension |
| title_fullStr | Universality of quantum liquids and droplets in one dimension |
| title_full_unstemmed | Universality of quantum liquids and droplets in one dimension |
| title_short | Universality of quantum liquids and droplets in one dimension |
| title_sort | universality of quantum liquids and droplets in one dimension |
| url | http://doi.org/10.1103/PhysRevResearch.4.L042024 |
| work_keys_str_mv | AT ivanmorera universalityofquantumliquidsanddropletsinonedimension AT brunojuliadiaz universalityofquantumliquidsanddropletsinonedimension AT manuelvaliente universalityofquantumliquidsanddropletsinonedimension |