Quantum phase diagrams of fermionic dipolar gases for an arbitrary orientation of dipole moment in a planar array of 1D tubes

Abstract

We systematically study ground state properties of fermionic dipolar gases in a planar array of one-dimensional potential tubes for an arbitrary orientation of dipole moments. Using the Luttinger liquid theory with the generalized Bogoliubov transformation, we calculate the elementary excitations and the Luttinger scaling exponents for various relevant quantum orders. The complete quantum phase diagrams for arbitrary polar angle of the dipole moment is obtained, including charge density wave, p-wave superfluid, inter-tube gauge-phase density wave, and inter-tube s-wave superfluid, where the last two breaks the U(1) gauge symmetry of the system (conservation of particle number in each tube) and occurs only when the inter-tube interaction is larger than the intra-tube interaction. We then discuss the physical properties of these many-body phases and their relationship with some solid state systems.

10 pages and 10 figures

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Cited by in corpus (21)

• Condensed Matter Theory of Dipolar Quantum Gases
• 1D Quantum Liquids with Power-Law Interactions: a Luttinger Staircase with Polar Molecules
• Few-Body Bound Complexes in One-dimensional Dipolar Gases and Non-Destructive Optical Detection
• Bound states of Dipolar Bosons in One-dimensional Systems
• Exotic Quantum Criticality in One-Dimensional Coupled Dipolar Bosons Tubes
• Lifshitz transitions and crystallization of fully-polarised dipolar Fermions in an anisotropic 2D lattice
• Layers of Cold Dipolar Molecules in the Harmonic Approximation
• Field-induced long-lived supermolecules
• Superfluid, solid, and supersolid phases of dipolar bosons in a quasi-one-dimensional optical lattice
• Dense gaps and scaling relations in the interacting Aubry-Andre' model
• Quantum phases of a one-dimensional dipolar Fermi gas
• Dipoles on a Two-leg Ladder
• Phase diagram of two-component dipolar fermions in one-dimensional optical lattices
• Quantum phases of quadrupolar Fermi gases in coupled one-dimensional systems
• Many-particle Systems in One Dimension in the Harmonic Approximation
• Dipolar particles in a double-trap confinement: Response to tilting the dipolar orientation
• Enhancing the Thermal Stability of Majorana Fermions with Redundancy Using Dipoles in Optical Lattices
• Ultracold and dense samples of ground-state molecules in lattice potentials
• Phase Equilibrium of Binary Mixtures in Mixed Dimensions
• Density engineering via inter-condensate dipole-dipole interactions
• Polarization-Driven Charge Frustration and Emergent Phases in the One-Dimensional Extended Hubbard Model