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

Sabari, S.; Dey, Bishwajyoti

doi:10.1103/physreve.98.042203

Cited by 9 publications

(4 citation statements)

References 64 publications

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“…The periodical dependence of the nonlinearity term on the angle and time variables, i.e. g cos(θ) n δ(t − n) can be realized by the modulation of the s-wave scattering length in both the spatial and time domain [44][45][46][47][48][49][50][51][52][53][54]. In nonlinear optics, the propagation of the optics in Kerr media is governed by the nonlinear Schrödinger equation.…”

Section: Quantum and Classical Diffusionmentioning

confidence: 99%

Quantum-classical correspondence in a nonlinear Gross–Pitaevski system

Zhao¹,

Wang²,

Wang³

2019

J. Phys. A: Math. Theor.

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We investigate the quantum-classical correspondence of the Bose–Einstein condensate (BEC) which is described by the Gross–Pitaevski equation with the periodic, both temporally and spatially, modulation of nonlinear interaction. It is found that this system is equivalent to a generalized kicked rotor (GKR) model. Interestingly, the classical dynamics of the GKR system exhibits the regular-to-chaotic transition as time evolves, and the corresponding energy diffusion is exponentially fast. For the BEC system, the energy diffusion can be predicted by the classical mapping equation of the GKR model. However, the ratio of the energy between the BEC system and the classical GKR model is not unity, even if the effective Planck constant is very small, which is contradictory to our conventional understanding of quantum-classical correspondence. We find that the BEC system is not exactly a quantum counterpart of the classical GKR system. We construct a better quantum counterpart and derive an analytical expression for the exponentially-fast diffusion of energy, which is in perfect agreement with numerical results.

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Section: Quantum and Classical Diffusionmentioning

confidence: 99%

Quantum-classical correspondence in a nonlinear Gross–Pitaevski system

Zhao¹,

Wang²,

Wang³

2019

J. Phys. A: Math. Theor.

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“…The investigation of spatial and temporally varying nonlinearities has also drawn considerable interest in optics [39,31,40,41] and other BEC settings [42,43,44,45,46,47,48,49,50] The above investigations addressed systems with local interactions. Recently, the possibility of the stabilization of DBECs by temporal modulation of the contact interaction was demonstrated too [51]. In the latter case, a potential minima necessary for self-trapping is found to be absent without the time-periodic modulation of the two-and three-body interaction.…”

Section: Introductionmentioning

confidence: 99%

Interplay between binary and three-body interactions and enhancement of stability in trapless dipolar Bose-Einstein condensates

Subramaniyan¹,

Kumar²,

Radha³

et al. 2022

Preprint

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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.

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“…The above investigations addressed systems with local interactions. Recently, the possibility of the stabilization of DBECs by temporal modulation of the contact interaction was demonstrated, too [51]. In the latter case, a potential minima necessary for self-trapping is found to be absent without the time-periodic modulation of the two-and three-body interaction.…”

Section: Introductionmentioning

confidence: 99%

Interplay between Binary and Three-Body Interactions and Enhancement of Stability in Trapless Dipolar Bose–Einstein Condensates

Kumar

Subramaniyan²,

Malomed

2022

Applied Sciences

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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.

show abstract

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

Cited by 9 publications

References 64 publications

Quantum-classical correspondence in a nonlinear Gross–Pitaevski system

Quantum-classical correspondence in a nonlinear Gross–Pitaevski system

Interplay between binary and three-body interactions and enhancement of stability in trapless dipolar Bose-Einstein condensates

Interplay between Binary and Three-Body Interactions and Enhancement of Stability in Trapless Dipolar Bose–Einstein Condensates

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