Dynamical theory of superfluidity in one dimension

Abstract

A theory accounting for the dynamical aspects of the superfluid response of one dimensional (1D) quantum fluids is reported. In long 1D systems the onset of superfluidity is related to the dynamical suppression of quantum phase slips at low temperatures. The effect of this suppression as a function of frequency and temperature is discussed within the framework of the relevant correlation function that is accessible experimentally, namely the momentum response function. Application of these results to the understanding of the superfluid properties of helium confined in nanometer-size pores, edge dislocations in solid ${}^4$He, and ultra-cold atomic gases is also briefly discussed.

4.4 pages, 2 eps figures, and 1 page of supplementary information

References in corpus (7)

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• The Luttinger model following a sudden interaction switch-on
• Bosonizing one-dimensional cold atomic gases
• Luttinger Liquid in the Core of Screw Dislocation in Helium-4
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Cited by in corpus (17)

• Transport of a Bose gas in 1D disordered lattices at the fluid-insulator transition
• Spontaneously magnetized Tomonaga-Luttinger liquid in frustrated quantum antiferromagnets
• Local Superfluidity at the Nanoscale
• Quantum phase slips in one-dimensional superfluids in a periodic potential
• Luttinger liquid behavior of one-dimensional 3He
• Superfluidity in the 1D Bose-Hubbard Model
• Critical Flow and Dissipation in a Quasi-One-Dimensional Superfluid
• Particle partition entanglement of bosonic Luttinger liquids
• Tuning the Kosterlitz-Thouless transition to zero temperature in Anisotropic Boson Systems
• Flux quench in a system of interacting spinless fermions in one dimension
• Universal damping behavior of dipole oscillations of one-dimensional ultracold gases induced by quantum phase slips
• Quantum quenches, linear response and superfluidity out of equilibrium
• Superfluid behavior of quasi-1D p-H${}_2$ inside carbon nanotube
• Quantum Monte Carlo study of superfluid density in quasi-one-dimensional hard-core bosons: Effect of suppression of phase slippage
• Linear response of one-dimensional liquid ${}^4$He to external perturbations
• Boosted one dimensional superfluids on a lattice
• Friedel oscillations in one-dimensional 4He