Collective excitations of trapped one-dimensional dipolar quantum gases

2007/08/21 by P. Pedri, S. De Palo, E. Orignac +3 · 2 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat.other #cond-mat.str-el

paper · pdf · doi:10.1103/physreva.77.015601

published as Phys. Rev. A 77, 015601 (2008) · 5 pages, 2 EPS figures, RevTeX 4

arxiv created 2007/08/21 · openalex publication_date 2008/01/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We calculate the excitation modes of a one-dimensional (1D) dipolar quantum gas confined in a harmonic trap with frequency \ensuremathω₀ and predict how the frequency of the breathing n=2 mode characterizes the interaction strength evolving from the Tonks-Girardeau value \ensuremathω₂=2\ensuremathω₀ to the quasi-ordered, superstrongly interacting value \ensuremathω₂=√(5)\ensuremathω₀. 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.

Citations

• Bose-Einstein condensation with magnetic dipole-dipole forces
• Charge and Spin Dynamics of Interacting Fermions in a One-Dimensional Harmonic Trap
• Quantum Phases of Dipolar Bosons in Optical Lattices
• Effects of Configuration Interaction on Intensities and Phase Shifts

Cited by

• Low-energy excitation spectrum of one-dimensional dipolar quantum gases
• The physics of dipolar bosonic quantum gases