Quantum Phase Transition between (Luttinger) Liquid and Gas of Cold Molecules

Abstract

We consider cold polar molecules confined in a helical optical lattice similar to those used in holographic microfabrication. An external electric field polarizes molecules along the axis of the helix. The large-distance inter-molecular dipolar interaction is attractive but the short-scale interaction is repulsive due to geometric constraints and thus prevents collapse. The interaction strength depends on the electric field. We show that a zero-temperature second-order liquid-gas transition occurs at a critical field. It can be observed under experimentally accessible conditions.

5 pages; 3 figures

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Vortex-glass phases in type-II superconductors
• Three-body interactions with cold polar molecules
• Chiral microstructures (spirals) fabrication by holographic lithography
• Quasi-long range order in glass states of impure liquid crystals, magnets, and superconductors
• Ferromagnetic Transition in One-Dimensional Itinerant Electron Systems
• Nonequilibrium quantum phase transition in itinerant electron systems
• Quantum dissociation of an edge of a Luttinger liquid

Cited by in corpus (13)

• Nanofiber-Based Double-Helix Dipole Trap for Cold Neutral Atoms
• Bloch dynamics in lattices with long range hoppings
• Classical scattering of charged particles confined on an inhomogeneous helix
• Effective Long-Range Interactions in Confined Curved Dimensions
• Ground states of dipolar gases in quasi-1D ring traps
• Degeneracy and Inversion of Band Structure for Wigner Crystals on a Toroidal Helix
• Fermi-Fermi crossover in the ground state of 1D few-body systems with anomalous three-body interactions
• Formation of classical crystals of dipolar particles in a helical geometry
• Modulational instability and localized breather modes in the discrete nonlinear Schrödinger equation with helicoidal hopping
• Quantum few-body bound states of dipolar particles in a helical geometry
• Quantum single-particle properties in a one-dimensional curved space
• Cluster formation in two-component Fermi gases
• Droplet formation in a one-dimensional system of attractive spinless fermions