Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
---|---|
Data(s) |
21/10/2015
21/10/2015
28/01/2015
|
Resumo |
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Processo FAPESP: 2013/04093-3 The spectrum and properties of quantum bound states is strongly dependent on the dimensionality of space. How this comes about and how one may theoretically and experimentally study the interpolation between different dimensions is a topic of great interest in different fields of physics. In this paper we study weakly bound states of non-relativistic two and three boson systems when passing continuously from a three (3D) to a two-dimensional (2D) regime within a 'squeezed dimension' model. We use periodic boundary conditions to derive a surprisingly simple form of the three-boson Schrodinger equation in momentum space that we solve numerically. Our results show a distinct dimensional crossover as three-boson states will either disappear into the continuum or merge with a 2D counterpart, and also a series of sharp transitions in the ratios of three-body and two-body energies from being purely 2D to purely 3D. |
Formato |
1-6 |
Identificador |
http://iopscience.iop.org/article/10.1088/0953-4075/48/2/025302/meta Journal Of Physics B-atomic Molecular And Optical Physics. Bristol: Iop Publishing Ltd, v. 48, n. 2, p. 1-6, 2015. 0953-4075 http://hdl.handle.net/11449/128929 http://dx.doi.org/10.1088/0953-4075/48/2/025302 WOS:000347108300011 WOS000347108300011.pdf |
Idioma(s) |
eng |
Publicador |
Iop Publishing Ltd |
Relação |
Journal Of Physics B-atomic Molecular And Optical Physics |
Direitos |
openAccess |
Palavras-Chave | #Cold atoms #Efimov states #Low-dimensional systems |
Tipo |
info:eu-repo/semantics/article |