Stability of trapless Bose–Einstein condensates with two- and three-body interactions

Sabari, S.; Raja, R. Vasantha Jayakantha; Porsezian, K.; Muruganandam, Paulsamy

doi:10.1088/0953-4075/43/12/125302

Cited by 37 publications

(40 citation statements)

References 34 publications

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“…Correspondingly, we determine the respective first derivatives ∂f ∂u ρ , ∂f ∂u z , and ∂f ∂z 0 which appear in the equations of motion (16)- (18).…”

Section: Variational Approachmentioning

confidence: 99%

“…(62) into Eqs. (16)- (18) and after introducing dimensionless parameters according to Eq. (19) we obtain three second-order ordinary differential equations for u ρ , u z , and z 0 [38].…”

Section: E Heuristic Approximationmentioning

confidence: 99%

“…-(18), we have to take into the account that the equilibrium value of the center-of-mass position vanishes according to Eq (18)…”

mentioning

confidence: 99%

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Breakdown of the Kohn theorem near a Feshbach resonance in a magnetic trap

Al-Jibbouri

Pelster

2013

Phys. Rev. A

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We study the collective excitation frequencies of a harmonically trapped 85 Rb Bose-Einstein condensate (BEC) in the vicinity of a Feshbach resonance. To this end, we solve the underlying Gross-Pitaevskii (GP) equation by using a Gaussian variational approach and obtain the coupled set of ordinary differential equations for the widths and the center of mass of the condensate. A linearization shows that the dipole-mode frequency decreases when the bias magnetic field approaches the Feshbach resonance, so the Kohn theorem is violated.

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“…Correspondingly, we determine the respective first derivatives ∂f ∂u ρ , ∂f ∂u z , and ∂f ∂z 0 which appear in the equations of motion (16)- (18).…”

Section: Variational Approachmentioning

confidence: 99%

“…(62) into Eqs. (16)- (18) and after introducing dimensionless parameters according to Eq. (19) we obtain three second-order ordinary differential equations for u ρ , u z , and z 0 [38].…”

Section: E Heuristic Approximationmentioning

confidence: 99%

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Breakdown of the Kohn theorem near a Feshbach resonance in a magnetic trap

Al-Jibbouri

Pelster

2013

Phys. Rev. A

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“…Hence, in the presence of DD interaction, one can get a bright soliton even for positive (repulsive) contact interaction (a > 0), which can be controlled by means of the Feshbach resonance with a tunable time-dependent magnetic field [33,34]. Further, in recent years, study of temporal and spatial modulated nonlinearities have attracted considerable attention in several areas, for example, nonlinear physics [41], optics [42][43][44] and conventional BECs [45,46,48,49].…”

Section: Introductionmentioning

confidence: 99%

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

Sabari

Dey

2018

Phys. Rev. E

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We theoretically study the stability of a trapless dipolar Bose-Einstein condensate (BEC) with temporal modulation of short-range contact interaction. For this aim, through both analytical and numerical methods, we solve a Gross-Pitaevskii equation with both constant and oscillatory form of short-range contact interaction along with long-range, nonlocal, dipole-dipole (DD) interaction terms. Using variational method, we discuss the stability of the trapless dipolar BEC with 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 have also studied the collective excitations in the system induced by the effective potential due to oscillating interaction. PACS numbers: 03.75.-b, 05.45.-a, 05.45.Yv, 03.75.Lm

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“…The collective oscillation modes can be induced in a BEC by modulating the external potential trap [7,8,18,[26][27][28][29][30][31][32][33][34][35][36][37][38][39], the s-wave scattering length [19,[40][41][42][43] or three-body interactions [42,44].…”

Section: Introductionmentioning

confidence: 99%

Geometric resonances in Bose–Einstein condensates with two- and three-body interactions

Al-Jibbouri¹,

Vidanović²,

Balaž³

et al. 2013

J. Phys. B: At. Mol. Opt. Phys.

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Abstract.We investigate geometric resonances in Bose-Einstein condensates by solving the underlying time-dependent Gross-Pitaevskii (GP) equation for systems with two-and three-body interactions in an axially-symmetric harmonic trap. To this end, we use a recently developed analytical method [Vidanović I et al 2011 Phys. Rev. A 84 013618], based on both a perturbative expansion and a Poincaré-Lindstedt analysis of a Gaussian variational approach, as well as a detailed numerical study of a set of ordinary differential equations for variational parameters. By changing the anisotropy of the confining potential, we numerically observe and analytically describe strong nonlinear effects: shifts in the frequencies and mode coupling of collective modes, as well as resonances. Furthermore, we discuss in detail the stability of a Bose-Einstein condensate in the presence of an attractive two-body interaction and a repulsive threebody interaction. In particular, we show that a small repulsive three-body interaction is able to significantly extend the stability region of the condensate.

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Stability of trapless Bose–Einstein condensates with two- and three-body interactions

Cited by 37 publications

References 34 publications

Breakdown of the Kohn theorem near a Feshbach resonance in a magnetic trap

Breakdown of the Kohn theorem near a Feshbach resonance in a magnetic trap

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

Geometric resonances in Bose–Einstein condensates with two- and three-body interactions

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