Bound states of Dipolar Bosons in One-dimensional Systems

Abstract

We consider one-dimensional tubes containing bosonic polar molecules. The long-range dipole-dipole interactions act both within a single tube and between different tubes. We consider arbitrary values of the externally aligned dipole moments with respect to the symmetry axis of the tubes. The few-body structures in this geometry are determined as function of polarization angles and dipole strength by using both essentially exact stochastic variational methods and the harmonic approximation. The main focus is on the three, four, and five-body problems in two or more tubes. Our results indicate that in the weakly-coupled limit the inter-tube interaction is similar to a zero-range term with a suitable rescaled strength. This allows us to address the corresponding many-body physics of the system by constructing a model where bound chains with one molecule in each tube are the effective degrees of freedom. This model can be mapped onto one-dimensional Hamiltonians for which exact solutions are known.

22 pages, 7 figures, revised version

References in corpus (25)

• A High Phase-Space-Density Gas of Polar Molecules
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Ultracold Molecules in the Ro-Vibrational Triplet Ground State
• Three-body forces: From cold atoms to nuclei
• Ultracold dense gas of deeply bound heteronuclear molecules
• Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
• Cold polar molecules in 2D traps: Tailoring interactions with external fields for novel quantum phases
• Tomographic RF Spectroscopy of a Trapped Fermi Gas at Unitarity
• Quantum fluids of self-assembled chains of polar molecules
• Interlayer superfluidity in bilayer systems of fermionic polar molecules
• Correlation functions of the one-dimensional attractive Bose gas
• Anisotropic Polarizability of Ultracold Polar ${}^{40}$K${}^{87}$Rb Molecules
• Evidence of Luttinger liquid behavior in one-dimensional dipolar quantum gases
• Two-dimensional scattering and bound states of polar molecules in bilayers
• Superfluidity and dimerization in a multilayered system of fermionic polar molecules
• 1D Quantum Liquids with Power-Law Interactions: a Luttinger Staircase with Polar Molecules
• Mott-insulator phases of non-locally coupled 1D dipolar Bose gases
• Quantum phase transitions of polar molecules in bilayer systems
• Dipolar bosons in a planar array of one-dimensional tubes
• Model independence in two dimensions and polarized cold dipolar molecules
• Virial expansion coefficients in the harmonic approximation
• Interaction-induced first order correlation between spatially-separated 1D dipolar fermions
• Effective super Tonks-Girardeau gases as ground states of strongly attractive multi-component fermions
• Phase diagram of two-component dipolar fermions in one-dimensional optical lattices
• Many-particle Systems in One Dimension in the Harmonic Approximation