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arXiv:1809.06660 · Physical review. E

Stabilization of trapless dipolar Bose-Einstein condensates by temporal modulation of the contact interaction

Subramaniyan Sabari, Bishwajyoti Dey

Published Oct 2, 2018• 12 citations
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Abstract

We study theoretically the stability of a trapless dipolar Bose-Einstein condensate (BEC) with temporal modulation of the short-range contact interaction. For this aim, through both analytical and numerical methods, we solve a Gross-Pitaevskii equation with both constant and oscillatory forms of the short-range contact interaction along with long-range, nonlocal, dipole-dipole interaction terms. By using the variational method, we discuss the stability of the trapless dipolar BEC with the presence and absence of both constant and oscillatory contact interactions. We show that the oscillatory contact interaction prevents the collapse of the trapless dipolar BEC. We confirm the analytical prediction through numerical simulations. We also study the collective excitations in the system induced by the effective potential due to the oscillating interaction.

DOI
10.1103/physreve.98.042203

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We study theoretically the stability of a trapless dipolar Bose-Einstein condensate (BEC) with temporal modulation of the short-range contact interaction. For this aim, through both analytical and numerical methods, we solve a Gross-Pitaevskii equation with both constant and oscillatory forms of the short-range contact interaction along with long-range, nonlocal, dipole-dipole interaction terms. By using the variational method, we discuss the stability of the trapless dipolar BEC with the presence and absence of both constant and oscillatory contact interactions. We show that the oscillatory contact interaction prevents the collapse of the trapless dipolar BEC. We confirm the analytical prediction through numerical simulations. We also study the collective excitations in the system induced by the effective potential due to the oscillating interaction.
We study the stabilization properties of dipolar Bose-Einstein condensate by temporal modulation of short-range two-body interaction. Through both analytical and numerical methods, we analyze the mean-field Gross-Pitaevskii equation with short-range two-body and long-range, nonlocal, dipolar interaction terms. We derive the equation of motion and effective potential of the dipolar condensate by variational method. We show that there is an enhancement of the condensate stability due to the inclusion of dipolar interaction in addition to the two-body contact interaction. We also show that the stability of the dipolar condensate increases in the presence of time varying two-body contact interaction; the temporal modification of the contact interaction prevents the collapse of dipolar Bose-Einstein condensate. Finally we confirm the semi-analytical prediction through the direct numerical simulations of the governing equation.
We investigate the nonlocal Gross–Pitaevskii (GP) equation with long-range dipole-dipole and contact interactions (including binary and three-body collisions). We address the impact of the three-body interaction on stabilizing trapless dipolar Bose–Einstein condensates (BECs). It is found that the dipolar BECs exhibit stability not only for the usual combination of attractive binary and repulsive three-body interactions, but also for the case when these terms have opposite signs. The trapless stability of the dipolar BECs may be further enhanced by time-periodic modulation of the three-body interaction imposed by means of Feshbach resonance. The results are produced analytically using the variational approach and confirmed by numerical simulations.
We study the stabilization properties of dipolar Bose–Einstein condensate in a deep one-dimensional optical lattice with an additional external parametrically modulated harmonic trap potential. Through both analytical and numerical methods, we solve a dimensionless nonlocal nonlinear discrete Gross–Pitaevskii equation with both the short-range contact interaction and the long-range dipole–dipole interaction. It is shown that, the stability of dipolar condensate in modulated deep optical lattice can be controled by coupled effects of the contact interaction, the dipolar interaction and the external modulation. The system can be stabilized when the dipolar interaction, the contact interaction, the average strength of potential and the ratio of amplitude to frequency of the modulation satisfy a critical condition. In addition, the breather state, the diffused state and the attractive-interaction-induced-trapped state are predicted. The dipolar interaction and the external modulation of the lattice play important roles in stabilizing the condensate.
We study the stabilization of a trapless Bose-Einstein condensate by analysing the mean-field Gross-Pitaevskii equation with attractive two- and three-body interactions through both analytical and numerical methods. Using the variational method we show that there is an enhancement of the condensate stability due to the inclusion of a three-body interaction in addition to the two-body interaction. We also study the stability of the condensates in the presence of the time-varying three-body interaction. Finally we confirm the stabilization of a trapless condensate from numerical simulation.
Abstract So far, attractive , trapless Bose–Einstein condensate (BEC) has been stabilized by considering the temporal modulation of the scattering length. However, there is no scope to stabilize the repulsive , trapless BEC even in the presence of the temporal modulation of the two-body interaction. However, in the present study, we stabilize the repulsive , trapless BEC by incorporating higher-order interaction. We also discuss the possibilities of the stabilization of repulsive, trapless BEC in the presence of time-varying higher-order interaction. Additionally, we verify our analytical findings by direct numerical simulation using the split-step Crank-Nicholson method.
We study properties of a trapped dipolar Bose-Einstein condensate (BEC) in a circular ring or a spherical shell using the mean-field Gross-Pitaevskii equation. In the case of the ring-shaped trap we consider different orientations of the ring with respect to the polarization direction of the dipoles. In the presence of long-range anisotropic dipolar and short-range contact interactions, the anisotropic density distribution of the dipolar BEC in both traps is discussed in detail. The stability condition of the dipolar BEC in both traps is illustrated in a phase plot of dipolar and contact interactions. We also study and discuss the properties of a vortex dipolar BEC in these traps.