Exotic Quantum Criticality in One-Dimensional Coupled Dipolar Bosons Tubes
arXiv:1202.6541 · doi:10.1103/PhysRevB.85.195121
Abstract
The competition between intertube hopping processes and density-density interactions is investigated in one-dimensional quantum dipolar bosons systems of N coupled tubes at zero temperature. Using a phenomenological bosonization approach, we show that the resulting competition leads to an exotic quantum phase transition described by a U(1) x Z_N conformal field theory with a fractional central charge. The emerging Z_N parafermionic critical degrees of freedom are highly nontrivial in terms of the original atoms or polar molecules of the model. We further determine the main physical properties of the quantum critical point in a double-tube system which has central charge c=3/2. In triple-tube systems, we show that the competition between the two antagonistic processes is related to the physics of the two-dimensional Z_3 chiral Potts model. This work opens the possibility to study the exotic properties of the Z_N parafermions in the context of ultracold quantum Bose gases.
18 pages, 4 figures; v2: Published version in Phys. Rev. B
References in corpus (26)
- Many-Body Physics with Ultracold Gases
- A High Phase-Space-Density Gas of Polar Molecules
- Bosonizing one-dimensional cold atomic gases
- A lattice of double wells for manipulating pairs of cold atoms
- Competing density-wave orders in a one-dimensional hard-boson model
- Rise and fall of hidden string order of lattice bosons
- Cold polar molecules in 2D traps: Tailoring interactions with external fields for novel quantum phases
- Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
- Competing orders in one dimensional spin 3/2 fermionic systems
- Repulsive shield between polar molecules
- Evidence of Luttinger liquid behavior in one-dimensional dipolar quantum gases
- 1D Quantum Liquids with Power-Law Interactions: a Luttinger Staircase with Polar Molecules
- Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
- Deconfinement in a 2D optical lattice of coupled 1D boson systems
- Mott-insulator phases of non-locally coupled 1D dipolar Bose gases
- Meta-nematic, smectic and crystalline phases of dipolar fermions in an optical lattice
- Dipolar bosons in a planar array of one-dimensional tubes
- Three-Component Fermi Gas in a one-dimensional Optical Lattice
- Non-local Order in Elongated Dipolar Gases
- Few-Body Bound Complexes in One-dimensional Dipolar Gases and Non-Destructive Optical Detection
- Charge-Density-Wave and Superconductor Competition in Stripe Phases of High Temperature Superconductors
- Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
- Interaction-induced first order correlation between spatially-separated 1D dipolar fermions
- Competition between Vortex Unbinding and Tunneling in an Optical Lattice
- Nature of the deconfining phase transition in the 2+1-dimensional SU(N) Georgi-Glashow model
- Quantum Phase Transitions in Bosonic Heteronuclear Pairing Hamiltonians
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- Massless renormalization group flow in SU(N) perturbed conformal field theory
- Bound states of Dipolar Bosons in One-dimensional Systems
- Quantum Phases of Dipolar Bosons in Bilayer Geometry
- Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials
- Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson
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- Unbinding of giant vortices in states of competing order
- Magnetic phase transition in coherently coupled Bose gases in optical lattices
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- Quasi Long Range Order and Vortex Lattice in the Three State Potts Model
- Phase diagram of two-component dipolar fermions in one-dimensional optical lattices
- Many-particle Systems in One Dimension in the Harmonic Approximation
- Interplay between intrinsic and emergent topological protection on interacting helical modes
- Dipolar particles in a double-trap confinement: Response to tilting the dipolar orientation
- Strong zero modes from geometric chirality in quasi-one-dimensional Mott insulators
- Emergent SU(3) symmetry in a four leg spin tube
- Quantum phases of hard-core dipolar bosons in coupled 1D optical lattices