Non-local Order in Elongated Dipolar Gases

Abstract

Dipolar particles in an elongated trap are expected to undergo a quantum phase transition from a linear to a zigzag structure with decreasing transverse confinement. We derive the low energy effective theory of the transition showing that in presence of quantum fluctuations the Zigzag phase can be characterized by a long ranged string order, while the local Ising correlations decay as a power law. This is also confirmed using DMRG calculations on a microscopic model. The non local order in the bulk gives rise to zero energy states localized at the interface between the ordered and disordered phases. Such an interface naturally arises when the particles are subject to a weak harmonic confinement along the tube axis. We compute the signature of the edge states in the single particle tunneling spectra pointing to differences between a system with bosonic versus fermionic particles. Finally we asses the magnitude of the relevant quantum fluctuations in realistic systems of dipolar particles, including ultracold polar molecules as well as alkali atoms weakly dressed by a Rydberg excitation.

10 pages, 5 figures

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• Topological degeneracy and pairing in a one-dimensional gas of spinless Fermions
• Gauging the Kitaev chain
• Zigzag Phase Transition in Quantum Wires
• Emergent supersymmetry at the Ising-Berezinskii-Kosterlitz-Thouless multicritical point
• Structure, dynamics and bifurcations of discrete solitons in trapped ion crystals
• Topological and symmetry-enriched random quantum critical points
• Extended Bose-Hubbard Model with dipolar and contact interactions
• From one-dimensional charge conserving superconductors to the gapless Haldane phase
• Full characterization of the quantum linear-zigzag transition in atomic chains
• Bound states of Dipolar Bosons in One-dimensional Systems
• Exotic Quantum Criticality in One-Dimensional Coupled Dipolar Bosons Tubes
• Quantum Critical Behavior of One-Dimensional Soft Bosons in the Continuum
• Ground states of linear rotor chains via the density matrix renormalization group
• From classical to quantum criticality
• Ab-initio characterization of the quantum linear-zigzag transition using DMRG
• Symmetry-Enriched Criticality in a Coupled Spin-Ladder
• Magnetic particles confined in a modulated channel: structural transitions tunable by tilting a magnetic field
• Gapless symmetry-protected topological phase of quantum antiferromagnets on anisotropic triangular strip
• Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson
• Formation of classical crystals of dipolar particles in a helical geometry
• Boundary deconfined quantum criticality at transitions between symmetry-protected topological chains
• Edge Modes in One Dimensional Topological Charge Conserving Spin-Triplet Superconductors: Exact Results from Bethe Ansatz
• Structural transitions of nearly second order in classical dipolar gases
• Topological quasi-one-dimensional state of interacting spinless electrons
• Dipoles on a Two-leg Ladder
• Multi-mode Bose-Hubbard model for quantum dipolar gases in confined geometries
• Emergence of an Ising critical regime in the clustering of 1D soft matter revealed through string variables
• Interaction-induced phase transitions at topological quantum criticality of an extended Su-Schrieffer-Heeger model
• String order in dipole-blockaded quantum liquids
• Topological floating phase of dipolar bosons in an optical ladder