Microscopic description of anisotropic low-density dipolar Bose gases in two dimensions

Journal Article · Thu Sep 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.033625· OSTI ID:22068770

Macia, A; Mazzanti, F; Boronat, J ^[1]; Zillich, R E ^[2]

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1. Departament de Fisica i Enginyeria Nuclear, Campus Nord B4-B5, Universitat Politecnica de Catalunya, ES-08034 Barcelona (Spain)
2. Institut fuer Theoretische Physik, Johannes-Kepler Universitaet, Altenbergerstr. 69, AT-4040 Linz (Austria)

A microscopic description of the zero-energy two-body ground state and many-body static properties of anisotropic homogeneous gases of bosonic dipoles in two dimensions at low densities is presented and discussed. By changing the polarization angle with respect to the plane, we study the impact of the anisotropy, present in the dipole-dipole interaction, on the energy per particle, comparing the results with mean-field predictions. We restrict the analysis to the regime where the interaction is always repulsive, although the strength of the repulsion depends on the orientation with respect to the polarization field. We present a series expansion of the solution of the zero-energy two-body problem, which allows us to find the scattering length of the interaction and to build a suitable Jastrow factor that we use as a trial wave function for both a variational and diffusion Monte Carlo simulation of the infinite system. We find that the anisotropy has an almost negligible impact on the ground-state properties of the many-body system in the universal regime where the scattering length governs the physics of the system. We also show that scaling in the gas parameter persists in the dipolar case up to values where other isotropic interactions with the same scattering length yield different predictions.

• OSTI ID: 22068770
• Journal Information: Physical Review. A, Vol. 84, Issue 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANISOTROPY
BOSE-EINSTEIN GAS
COMPUTERIZED SIMULATION
DENSITY
DIFFUSION
DIPOLES
GASES
GROUND STATES
INTERACTIONS
MATHEMATICAL SOLUTIONS
MEAN-FIELD THEORY
MONTE CARLO METHOD
ORIENTATION
POLARIZATION
SCALING
SCATTERING LENGTHS
SERIES EXPANSION
TWO-BODY PROBLEM
VARIATIONAL METHODS
WAVE FUNCTIONS