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

Sabari Subramaniyan; Kishor Kumar Ramavarmaraja; Radha Ramaswamy; Boris A. Malomed

doi:10.3390/app12031135

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

Sabari Subramaniyan, Kishor Kumar Ramavarmaraja, Radha Ramaswamy^*, Boris A. Malomed

^*Corresponding author for this work

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	1135
Journal	Applied Sciences (Switzerland)
Volume	12
Issue number	3
DOIs	https://doi.org/10.3390/app12031135
State	Published - 1 Feb 2022

Keywords

Bose–Einstein condensates
Crank–Nicolson method
Dipole-dipole interaction
Gross–Pitaevskii equation
Runge–Kutta method
Variational method

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10.3390/app12031135

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

abstract = "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.",

keywords = "Bose–Einstein condensates, Crank–Nicolson method, Dipole-dipole interaction, Gross–Pitaevskii equation, Runge–Kutta method, Variational method",

author = "Sabari Subramaniyan and Ramavarmaraja, {Kishor Kumar} and Radha Ramaswamy and Malomed, {Boris A.}",

note = "Publisher Copyright: {\textcopyright} 2022 by the authors. Licensee MDPI, Basel, Switzerland.",

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doi = "10.3390/app12031135",

language = "אנגלית",

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T1 - Interplay between Binary and Three-Body Interactions and Enhancement of Stability in Trapless Dipolar Bose–Einstein Condensates

AU - Subramaniyan, Sabari

AU - Ramavarmaraja, Kishor Kumar

AU - Ramaswamy, Radha

AU - Malomed, Boris A.

PY - 2022/2/1

Y1 - 2022/2/1

N2 - 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.

AB - 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.

KW - Bose–Einstein condensates

KW - Crank–Nicolson method

KW - Dipole-dipole interaction

KW - Gross–Pitaevskii equation

KW - Runge–Kutta method

KW - Variational method

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U2 - 10.3390/app12031135

DO - 10.3390/app12031135

M3 - מאמר

AN - SCOPUS:85123110808

VL - 12

JO - Applied Sciences (Switzerland)

JF - Applied Sciences (Switzerland)

SN - 2076-3417

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M1 - 1135

ER -

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

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Keywords

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