Mean-field phase diagram of the extended Bose-Hubbard model of many-body cavity quantum electrodynamics

We investigate the mean-field phase diagram of the Bose-Hubbard model with infinite-range interactions in two dimensions. This model describes ultracold bosonic atoms confined by a twodimensional optical lattice and dispersively coupled to a cavity mode with the same wavelength as the lattice. We de...

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Detalles Bibliográficos
Autores: Himbert, Lukas, Cormick, Maria Cecilia, Kraus, Rebecca, Sharma, Shraddha, Morigi, Giovanna
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/119975
Acceso en línea:http://hdl.handle.net/11336/119975
Access Level:acceso abierto
Palabra clave:QUANTUM OPTICS
QUANTUM PHASE TRANSITIONS
OPTICAL CAVITIES
BOSE-HUBBARD MODEL
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Descripción
Sumario:We investigate the mean-field phase diagram of the Bose-Hubbard model with infinite-range interactions in two dimensions. This model describes ultracold bosonic atoms confined by a twodimensional optical lattice and dispersively coupled to a cavity mode with the same wavelength as the lattice. We determine the ground-state phase diagram for a grand-canonical ensemble by means of analytical and numerical methods. Our results mostly agree with the ones reported in Dogra et al. [PRA 94, 023632 (2016)], and have a remarkable qualitative agreement with the quantum Monte Carlo phase diagrams of Flottat et al. [PRB 95, 144501 (2017)]. The salient differences concern the stability of the supersolid phases, which we discuss in detail. Finally, we discuss differences and analogies between the ground state properties of strong long-range interacting bosons with the ones predicted for repulsively interacting dipolar bosons in two dimensions.