Quantum few-body bound states of dipolar particles in a helical geometry

Abstract

We study a quantum mechanical system consisting of up to three identical dipoles confined to move along a helical shaped trap. The long-range interactions between particles confined to move in this one dimension leads to an interesting effective two-particle potential with an oscillating behaviour. For this system we calculate the spectrum and the wave functions of the bound states. The full quantum solutions show clear imprints of the tendency for the system to form chains of dipoles along the helix, i.e. a configuration in which the dipoles are sitting approximately one winding of the helix apart so that they can take maximal advantage of the strong head-to-tail attraction that is a generic feature of the dipole-dipole interaction.

8 pages, 8 figures and 1 table

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Magneto-optical trapping of a diatomic molecule
• Persistent currents in spinor condensates
• Quantum fluids of self-assembled chains of polar molecules
• Comparing and contrasting nuclei and cold atomic gases
• Blue-detuned evanescent field surface traps for neutral atoms based on mode interference in ultra-thin optical fibres
• Model independence in two dimensions and polarized cold dipolar molecules
• Nanofiber-Based Double-Helix Dipole Trap for Cold Neutral Atoms
• Lattice with a Twist : Helical Waveguides for Ultracold Matter
• Bloch dynamics in lattices with long range hoppings
• Bound states of Dipolar Bosons in One-dimensional Systems
• Degeneracy and Inversion of Band Structure for Wigner Crystals on a Toroidal Helix
• Dynamics of nonlinear excitations of helically confined charges
• Quantum Phase Transition between (Luttinger) Liquid and Gas of Cold Molecules
• Helical spin textures in dipolar Bose-Einstein condensates

Cited by in corpus (7)

• Topological phase transitions of Thouless charge pumping realized in helical organic molecules with long-range hoppings
• Few-body quantum method in a $d$-dimensional space
• Modulational instability and localized breather modes in the discrete nonlinear Schrödinger equation with helicoidal hopping
• Local equilibria and state transfer of charged classical particles on a helix in an electric field
• Tunable Order of Helically Confined Charges
• External field-induced dynamics of a charged particle on a closed helix
• Long-Range Interacting Particles on a Helix: A Statistical and Correlation Analysis of Equilibrium Configurations