Tunable Wigner States with Dipolar Atoms and Molecules

Abstract

We study the few-body physics of trapped atoms or molecules with electric or magnetic dipole moments aligned by an external field. Using exact numerical diagonalization appropriate for the strongly correlated regime, as well as a classical analysis, we show how Wigner localization emerges with increasing coupling strength. The Wigner states exhibit non-trivial geometries due to the anisotropy of the interaction. This leads to transitions between different Wigner states as the tilt angle of the dipoles with the confining plane is changed. Intriguingly, while the individual Wigner states are well described by a classical analysis, the transitions between different Wigner states are strongly affected by quantum statistics. This can be understood by considering the interplay between quantum-mechanical and spatial symmetry properties. Finally, we demonstrate that our results are relevant to experimentally realistic systems.

4 pages, 6 figures

References in corpus (24)

• A High Phase-Space-Density Gas of Polar Molecules
• The physics of dipolar bosonic quantum gases
• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Strong dipolar effects in a quantum ferrofluid
• Stabilizing a purely dipolar quantum gas against collapse
• Calculation of accurate permanent dipole moments of the lowest ${}^{1,3}{\Sigma }^{+}$ states of heteronuclear alkali dimers using extended basis sets
• Quantum gas of rovibronic ground-state molecules in an optical lattice
• Ultracold heteronuclear molecules in a 3D optical lattice
• Ultracold dense gas of deeply bound heteronuclear molecules
• Controlling the hyperfine state of rovibronic ground-state polar molecules
• Quantum phase transition in a two-dimensional system of dipoles
• Symmetry breaking and quantum correlations in finite systems: Studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
• Trapping ultracold dysprosium: a highly magnetic gas for dipolar physics
• Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
• Quantum phases of a Two-Dimensional Dipolar Fermi Gas
• Novel vortex structures in dipolar condensates
• Observation of interspecies Feshbach resonances in an ultracold Rb-Cs mixture
• A molecular state of correlated electrons in a quantum dot
• Ferro-Nematic ground state of the dilute dipolar Fermi gas
• Spontaneous inhomogeneous phases in ultracold dipolar Fermi gases
• Vortex lattices in Bose-Einstein condensates with Dipolar Interactions Beyond the Weak Interaction Limit
• Strongly Correlated States of Ultracold Rotating Dipolar Fermi Gases
• Transport properties of quantum dots in the Wigner molecule regime
• Influence of a Feshbach resonance on the photoassociation of LiCs

Cited by in corpus (32)

• Condensed Matter Theory of Dipolar Quantum Gases
• Quantum Magnetism with Polar Alkali Dimers
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Density instabilities in a two-dimensional dipolar Fermi gas
• Dipolar Bose-Einstein Condensates in Weak Anisotropic Disorder
• Density Waves in Layered Systems with Fermionic Polar Molecules
• Three interacting atoms in a one-dimensional trap: A benchmark system for computational approaches
• Rotational properties of dipolar Bose-Einstein condensates confined in anisotropic harmonic potentials
• Few-Body Bound Complexes in One-dimensional Dipolar Gases and Non-Destructive Optical Detection
• Density wave instabilities of tilted fermionic dipoles in a multilayer geometry
• Few-body bound state stability of dipolar molecules in two dimensions
• Harmonically trapped dipolar fermions in a two-dimensional square lattice
• Layers of Cold Dipolar Molecules in the Harmonic Approximation
• Universal Two-Body Spectra of Ultracold Harmonically Trapped Atoms in Two and Three Dimensions
• Density functional theory for strongly-correlated bosonic and fermionic ultracold dipolar and ionic gases
• Two dimensional dipolar scattering with a tilt
• Anisotropic quantum scattering in two dimensions
• Formation of classical crystals of dipolar particles in a helical geometry
• Density-functional theory for the crystalline phases of a two-dimensional dipolar Fermi gas
• Dimers, Effective Interactions, and Pauli Blocking Effects in a Bilayer of Cold Fermionic Polar Molecules
• Spin-orbit-enhanced Wigner localization in quantum dots
• Persistent currents in dipolar Bose-Einstein condensates confined in annular potentials
• Mesoscopic dipolar quantum crystals
• Thermodynamics of Dipolar Chain Systems
• Bound Chains of Tilted Dipoles in Layered Systems
• Rotational properties of non-dipolar and dipolar Bose-Einstein condensates confined in annular potentials
• Classical crystal formation of dipoles in two dimensions
• Wigner-localized states in spin-orbit-coupled bosonic ultracold atoms with dipolar interaction
• Interplay between shell structure and trap deformation in dipolar fermi gases
• Beyond-mean-field phases of rotating dipolar condensates
• Vortices in fermion droplets with repulsive dipole-dipole interactions
• Ultradilute quantum liquid of dipolar atoms in a bilayer