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...

Descripción completa

Detalles Bibliográficos
Autores: Morera Navarro, Ivan, Julià Díaz, Bruno, Valiente, Manuel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/213484
Acceso en línea:https://hdl.handle.net/2445/213484
Access Level:acceso abierto
Palabra clave:Bosons
Química quàntica
Quantum chemistry
Descripción
Sumario: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.