The collective excitations of a one-dimensional dipolar Bose—Einstein condensate trapped in an anharmonic potential are investigated theoretically. Using the variational approach, we obtain the coupled equations of motion for the center-of-mass coordinate of the condensate and its width. In particular, analytical expressions for the low-lying excitation modes are given. The results show that dipole-dipole interactions reduce the frequency shift induced by quartic distortion. The interplay between dipole-dipole interactions and anharmonic distortion for the collapse and revival of the collective excitations originating from the nonlinear coupling between the two modes are also discussed.The collective excitations of a one-dimensional dipolar Bose—Einstein condensate trapped in an anharmonic potential are investigated theoretically. Using the variational approach, we obtain the coupled equations of motion for the center-of-mass coordinate of the condensate and its width. In particular, analytical expressions for the low-lying excitation modes are given. The results show that dipole-dipole interactions reduce the frequency shift induced by quartic distortion. The interplay between dipole-dipole interactions and anharmonic distortion for the collapse and revival of the collective excitations originating from the nonlinear coupling between the two modes are also discussed.

Chinese Physics LettersJun 1, 20136 citations

Collective excitations of trapped one-dimensional dipolar quantum gases

P. Pedri, S. De Palo, E. Orignac +2 more

We calculate the excitation modes of a one-dimensional (1D) dipolar quantum gas confined in a harmonic trap with frequency ${\ensuremath{\omega}}_{0}$ and predict how the frequency of the breathing $n=2$ mode characterizes the interaction strength evolving from the Tonks-Girardeau value ${\ensuremath{\omega}}_{2}=2{\ensuremath{\omega}}_{0}$ to the quasi-ordered, superstrongly interacting value ${\ensuremath{\omega}}_{2}=\sqrt{5}{\ensuremath{\omega}}_{0}$. 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.We calculate the excitation modes of a one-dimensional (1D) dipolar quantum gas confined in a harmonic trap with frequency ${\ensuremath{\omega}}_{0}$ and predict how the frequency of the breathing $n=2$ mode characterizes the interaction strength evolving from the Tonks-Girardeau value ${\ensuremath{\omega}}_{2}=2{\ensuremath{\omega}}_{0}$ to the quasi-ordered, superstrongly interacting value ${\ensuremath{\omega}}_{2}=\sqrt{5}{\ensuremath{\omega}}_{0}$. 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:0708.2789Physical Review AJan 29, 200844 citations

Towards two-dimensional quantum gases of strongly dipolar molecules

Aden Z. Lam, Niccolò Bigagli, Claire Warner +2 more

Bulletin of the American Physical SocietyMay 31, 20180 citations

Collective Excitations and Nonlinear Dynamics of 1D BEC with Two- and Three-body Interactions in Anharmonic Traps

Li, Guan-Qiang, Peng +5 more

理论物理通讯：英文版Jan 1, 20082 citations

We calculate the excitation modes of a one-dimensional (1D) dipolar quantum gas confined in a harmonic trap with frequency ${\ensuremath{\omega}}_{0}$ and predict how the frequency of the breathing

n=2

mode characterizes the interaction strength evolving from the Tonks-Girardeau value ${\ensuremath{\omega}}_{2}=2{\ensuremath{\omega}}_{0}$ to the quasi-ordered, superstrongly interacting value ${\ensuremath{\omega}}_{2}=\sqrt{5}{\ensuremath{\omega}}_{0}$. 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.