5 research outputs found
Composite boson description of a low density gas of excitons
Ground state properties of a fermionic Coulomb gas are calculated using the
fixed-node diffusion Monte Carlo method. The validity of the composite boson
description is tested for different densities. We extract the exciton-exciton
-wave scattering length by solving the four-body problem in a harmonic trap
and mapping the energy to that of two trapped bosons. The equation of state is
consistent with the Bogoliubov theory for composite bosons interacting with the
obtained -wave scattering length. The perturbative expansion at low density
has contributions physically coming from (a) exciton binding energy, (b)
mean-field Gross-Pitaevskii interaction between excitons, (c) quantum depletion
of the excitonic condensate (Lee-Huang-Yang terms for composite bosons). In
addition, for low densities we find a good agreement with the Bogoliubov
bosonic theory for the condensate fraction of excitons. The equation of state
in the opposite limit of large density is found to be well described by the
perturbative theory including (a) mixture of two ideal Fermi gases (b) exchange
energy. We find that for low densities both energetic and coherent properties
are correctly described by the picture of composite bosons (excitons).Comment: 12 pages, 4 figure
Mesoscopic supersolid of dipoles in a trap
A mesoscopic system of indirect dipolar bosons trapped by a harmonic
potential is considered. The system has a number of physical realizations
including dipole excitons, atoms with large dipolar moment, polar molecules,
Rydberg atoms in inhomogenious electric field. We carry out a diffusion Monte
Carlo simulation to define the quantum properties of a two-dimensional system
of trapped dipoles at zero temperature. In dimensionless units the system is
described by two control parameters, namely the number of particles and the
strength of the interparticle interaction. We have shown that when the
interparticle interaction is strong enough a mesoscopic crystal is formed. As
the strength of interactions is decreased a multi-stage melting takes place.
Off-diagonal order in the system is tested using natural orbitals analysis. We
have found that the system might be Bose-condensed even in the case of strong
interparticle interactions. There is a set of parameters for which a spatially
ordered structure is formed while simultaneously the fraction of Bose condensed
particles is non zero. This might be considered as a realization of a
mesoscopic supersolid.Comment: 5 figure
Condensed Matter Theory of Dipolar Quantum Gases
Recent experimental breakthroughs in trapping, cooling and controlling
ultracold gases of polar molecules, magnetic and Rydberg atoms have paved the
way toward the investigation of highly tunable quantum systems, where
anisotropic, long-range dipolar interactions play a prominent role at the
many-body level. In this article we review recent theoretical studies
concerning the physics of such systems. Starting from a general discussion on
interaction design techniques and microscopic Hamiltonians, we provide a
summary of recent work focused on many-body properties of dipolar systems,
including: weakly interacting Bose gases, weakly interacting Fermi gases,
multilayer systems, strongly interacting dipolar gases and dipolar gases in 1D
and quasi-1D geometries. Within each of these topics, purely dipolar effects
and connections with experimental realizations are emphasized.Comment: Review article; submitted 09/06/2011. 158 pages, 52 figures. This
document is the unedited author's version of a Submitted Work that was
subsequently accepted for publication in Chemical Reviews, copyright American
Chemical Society after peer review. To access the final edited and published
work, a link will be provided soo
Composite boson description of a low-density gas of excitons
Ground-state properties of a fermionic Coulomb gas are calculated using the fixed-node diffusion Monte Carlo method. The validity of the composite boson description is tested for different densities. We extract the exciton–exciton s-wave scattering length by solving the four-body problem in a harmonic trap and mapping the energy to that of two trapped bosons. The equation of state is consistent with the Bogoliubov theory for composite bosons interacting with the obtained s-wave scattering length. The perturbative expansion at low density has contributions physically coming from (a) exciton binding energy, (b) mean-field Gross–Pitaevskii interaction between excitons, and (c) quantum depletion of the excitonic condensate (Lee–Huang–Yang terms for composite bosons). In addition, for low densities we find a good agreement with the Bogoliubov bosonic theory for the condensate fraction of excitons. The equation of state in the opposite limit of large density is found to be well described by the perturbative theory including (a) mixture of two ideal Fermi gases and (b) exchange energy. We find that for low densities both energetic and coherent properties are correctly described by the picture of composite bosons (excitons)