Ground states of dipolar gases in quasi-1D ring traps

Abstract

We compute the ground state of dipoles in a quasi-one-dimensional ring trap using few-body techniques combined with analytic arguments. The effective interaction between two dipoles depends on their center-of-mass coordinate and can be tuned by varying the angle between dipoles and the plane of the ring. For weak enough interactions, the state resembles a weakly interacting Fermi gas or an (inhomogeneous) Lieb-Liniger gas. A mapping between the Lieb-Liniger and the dipolar-gas parameters in and beyond the Born approximation is established, and we discuss the effect of inhomogeneities based on a local-density approximation. For strongly repulsive interactions, the system exhibits crystal-like localization of the particles. Their inhomogeneous distribution may be understood in terms of a simple few-body model as well as a local-density approximation. In the case of partially attractive interactions, clustered states form for strong enough coupling, and the dependence of the state on particle number and orientation angle of the dipoles is discussed analytically.

15 pages, 10 figures

References in corpus (19)

• Superflow in a toroidal Bose-Einstein condensate: an atom circuit with a tunable weak link
• Strong dipolar effects in a quantum ferrofluid
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• Stabilizing a purely dipolar quantum gas against collapse
• Fragmentation of Bose-Einstein Condensates
• Dipolar gases in quasi one-dimensional geometries
• A large magnetic storage ring for Bose-Einstein condensates
• Evidence of Luttinger liquid behavior in one-dimensional dipolar quantum gases
• Ultracold Few-Boson Systems in a Double-Well Trap
• Few-body bound states in dipolar gases and their detection
• Super-Tonks-Girardeau regime in trapped one-dimensional dipolar gases
• Bosonic and fermionic dipoles on a ring
• A dipolar self-induced bosonic Josephson junction
• Collective excitations of trapped one-dimensional dipolar quantum gases
• Ground state of low dimensional dipolar gases: linear and zigzag chains
• Trimer liquids and crystals of polar molecules in coupled wires
• The low-energy excitation spectrum of one-dimensional dipolar quantum gases
• Dipolar bosons on an optical lattice ring
• Quantum Phase Transition between (Luttinger) Liquid and Gas of Cold Molecules

Cited by in corpus (12)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Order parameter and detection for crystallized dipolar bosons in lattices
• Correlations of strongly interacting ultracold dipolar bosons in optical lattices
• Detecting One-Dimensional Dipolar Bosonic Crystal Orders via Full Distribution Functions
• Formation of classical crystals of dipolar particles in a helical geometry
• Management of the Correlations of Ultracold Bosons in Triple Wells
• Quantum entanglement of two harmonically trapped dipolar particles
• Stability of dipolar bosons in a quasiperiodic potential
• Droplet formation in a one-dimensional system of attractive spinless fermions
• Classical crystal formation of dipoles in two dimensions
• Expansion of strongly interacting dipolar bosons in 1D optical lattices
• Exact crystalline solution for a one-dimensional few-boson system with point interaction