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.

arXiv comment5 pages, 2 EPS figures, RevTeX 4

References in corpus (21)

• Bose-Einstein condensation of chromium
• Realization of Bose-Einstein condensates in lower dimensions
• Collective excitations of a trapped Bose-condensed gas
• Bose-Einstein condensation in trapped dipolar gases
• Quantum phases of dipolar bosons in optical lattices
• 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
• Controlled Collapse of a Bose-Einstein Condensate
• Tuning the dipolar interaction in quantum gases
• Bose-Einstein condensation with magnetic dipole-dipole forces
• Collective oscillations of a 1D trapped Bose gas
• Momentum spectroscopy of 1D phase fluctuations in Bose-Einstein condensates
• Beyond Tonks-Girardeau: strongly correlated regime in quasi-one-dimensional Bose gases
• Molecular Dipolar Crystals as High Fidelity Quantum Memory for Hybrid Quantum Computing
• Ferromagnetism in a lattice of Bose condensates
• Dipolar Bose-Einstein condensates with dipole-dependent scattering length
• Evidence of Luttinger liquid behavior in one-dimensional dipolar quantum gases
• Ground-state properties of a one-dimensional system of dipoles
• Phase Fluctuations in Bose-Einstein Condensates
• Charge and spin dynamics of interacting Fermions in a one dimensional harmonic trap
• Bose-Einstein condensation of trapped atoms with dipole interactions

Cited by in corpus (27)

• The physics of dipolar bosonic quantum gases
• Condensed Matter Theory of Dipolar Quantum Gases
• Dipolar physics: A review of experiments with magnetic quantum gases
• Ground-state properties of few dipolar bosons in a quasi-one-dimensional harmonic trap
• Creating quantum many-body scars through topological pumping of a 1D dipolar gas
• Collective excitations of a dipolar Bose-Einstein condensate
• Order parameter and detection for crystallized dipolar bosons in lattices
• Dipolar bosons in a planar array of one-dimensional tubes
• Feshbach resonances in ultracold 85Rb-87Rb and 6Li-87Rb mixtures
• Dipolar confinement-induced resonances of ultracold gases in waveguides
• Correlations of strongly interacting ultracold dipolar bosons in optical lattices
• Quantum breathing mode of trapped bosons and fermions at arbitrary coupling
• On the thermalization of a Luttinger liquid after a sequence of sudden interaction quenches
• Quantum Breathing Mode of Interacting Particles in a One-dimensional Harmonic Trap
• Detecting One-Dimensional Dipolar Bosonic Crystal Orders via Full Distribution Functions
• Structure and melting behavior of classical bilayer crystals of dipoles
• The low-energy excitation spectrum of one-dimensional dipolar quantum gases
• Ultracold dipolar few-boson ensembles in a triple well trap
• Ground states of dipolar gases in quasi-1D ring traps
• Fermionization via cavity-assisted infinite-range interactions
• Universal shock-wave propagation in one-dimensional Bose fluids
• Dissipative Effects on the Superfluid to Insulator Transition in Mixed-dimensional Optical Lattices
• Off-diagonal correlations in a one-dimensional gas of dipolar bosons
• Dipole mode of a strongly correlated one-dimensional Bose gas in a split trap: parity effect and barrier renormalization
• Hydrodynamic collective modes for cold trapped gases
• Stability of dipolar bosons in a quasiperiodic potential
• Classical Dynamics of Harmonically Trapped Interacting Particles