Collective excitations of trapped one-dimensional dipolar quantum gases

Abstract

We calculate the excitation modes of a 1D dipolar quantum gas confined in a harmonic trap with frequency ${\omega }_0$ and predict how the frequency of the breathing n=2 mode characterizes the interaction strength evolving from the Tonks-Girardeau value ${\omega }_2=2{\omega }_0$ to the quasi-ordered, super-strongly interacting value ${\omega }_2=\sqrt{5}{\omega }_0$. Our predictions are obtained within a hydrodynamic Luttinger-Liquid theory after applying the Local Density Approximation to the equation of state for the homogeneous dipolar gas, which are in turn determined from Reptation Quantum Monte Carlo simulations. They are shown to be in quite accurate agreement with the results of a sum-rule approach. These effects can be observed in current experiments, revealing the Luttinger-liquid nature of 1D dipolar Bose gases.

5 pages, 2 EPS figures, RevTeX 4

References in corpus (7)

• Bose-Einstein condensation of chromium
• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Observation of dipole-dipole interaction in a degenerate quantum gas
• Molecular Dipolar Crystals as High Fidelity Quantum Memory for Hybrid Quantum Computing
• Dipolar Bose-Einstein condensates with dipole-dependent scattering length
• Evidence of Luttinger liquid behavior in one-dimensional dipolar quantum gases
• Charge and spin dynamics of interacting Fermions in a one dimensional harmonic trap

Cited by in corpus (8)

• Dipolar physics: A review of experiments with magnetic quantum gases
• Dipolar bosons in a planar array of one-dimensional tubes
• Feshbach resonances in ultracold 85Rb-87Rb and 6Li-87Rb mixtures
• Quantum Breathing Mode of Interacting Particles in a One-dimensional Harmonic Trap
• Structure and melting behavior of classical bilayer crystals of dipoles
• The low-energy excitation spectrum of one-dimensional dipolar quantum gases
• Fermionization via cavity-assisted infinite-range interactions
• Stability of dipolar bosons in a quasiperiodic potential