Effect of incorporating three-body interaction in the low-density energy expansion of Bose–Einstein condensate of 87Rb atoms trapped in a harmonic potential

2006 ◽  
Vol 359 (6) ◽  
pp. 658-662 ◽  
Author(s):  
Shri Prakash Tewari ◽  
Poonam Silotia ◽  
Aditya Saxena ◽  
Lokesh Kumar Gupta
Keyword(s):  
Einstein Condensate ◽  
Harmonic Potential ◽  
Low Density ◽  
Body Interaction ◽  
Bose Einstein Condensate ◽  
Three Body ◽  
Bose Einstein ◽  
Energy Expansion

scholarly journals Gap solitons and their stabilities in a quasi one-dimensional Bose-Einstein condensate under three-body interaction

2020 ◽  
Vol 69 (1) ◽  
pp. 010301
Author(s):  
Na Tang ◽  
Xue-Ying Yang ◽  
Lin Song ◽  
Juan Zhang ◽  
Xiao-Lin Li ◽  
...  
Keyword(s):  
Einstein Condensate ◽  
One Dimensional ◽  
Body Interaction ◽  
Bose Einstein Condensate ◽  
Gap Solitons ◽  
Three Body ◽  
Bose Einstein

scholarly journals Stability analysis on dark solitons in quasi-1D Bose–Einstein condensate with three-body interactions

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yushan Zhou ◽  
Hongjuan Meng ◽  
Juan Zhang ◽  
Xiaolin Li ◽  
Xueping Ren ◽  
...  
Keyword(s):  
Einstein Condensate ◽  
Physical Parameters ◽  
Stability Properties ◽  
Body Interaction ◽  
Multi Scale ◽  
Dark Solitons ◽  
Bose Einstein Condensate ◽  
The Stability ◽  
Three Body ◽  
Bose Einstein

AbstractThe stability properties of dark solitons in quasi-one-dimensional Bose–Einstein condensate (BEC) loaded in a Jacobian elliptic sine potential with three-body interactions are investigated theoretically. The solitons are obtained by the Newton-Conjugate Gradient method. A stationary cubic-quintic nonlinear Schrödinger equation is derived to describe the profiles of solitons via the multi-scale technique. It is found that the three-body interaction has distinct effect on the stability properties of solitons. Especially, such a nonlinear system supports the so-called dark solitons (kink or bubble), which can be excited not only in the gap, but also in the band. The bubbles are always linearly and dynamically unstable, and they cannot be excited if the three-body interaction is absent. Both stable and unstable kinks, depending on the physical parameters, can be excited in the BEC system.

EFFECT OF HIGHER ORDER ENERGY CORRECTIONS INCLUDING THREE-BODY INTERACTION ON THE BOSE-EINSTEIN CONDENSATE WITH THE VARIATION OF REPULSIVE SELF INTERACTION ENERGY

2006 ◽  
Vol 20 (11n13) ◽  
pp. 1690-1698 ◽  
Author(s):  
SHRI PRAKASH TEWARI ◽  
POONAM SILOTIA ◽  
ADITYA SAXENA ◽  
LOKESH KUMAR GUPTA
Keyword(s):  
Interaction Energy ◽  
Chemical Potential ◽  
Hard Core ◽  
Higher Order ◽  
Einstein Condensate ◽  
Body Interaction ◽  
Interaction Terms ◽  
Bose Einstein Condensate ◽  
Three Body ◽  
Bose Einstein

Various ground state properties such as chemical potential, differential and total energy per particle etc. of Bose-Einstein condensate of 10000 85 Rb atoms with varying repulsive self-interaction energy have been reported considering not only two-body interaction but also including the higher order terms of the low-density energy expansion of homogeneous Bose gas in the Ginzburg, Pitaevskii and Gross (GPG) equation. These include hard-core approximation of the bosons neglected earlier and the three-body interaction terms. The study is more general as it includes the terms beyond logarithm in energy density expansion. It is also shown that such a consideration does not violate the lower bound predicted earlier in which the 'constant' beyond logarithm term in the three-body interaction was neglected.

scholarly journals Polaron Problems in Ultracold Atoms: Role of a Fermi Sea across Different Spatial Dimensions and Quantum Fluctuations of a Bose Medium

Atoms ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 18
Author(s):  
Hiroyuki Tajima ◽  
Junichi Takahashi ◽  
Simeon Mistakidis ◽  
Eiji Nakano ◽  
Kei Iida
Keyword(s):  
Spectral Function ◽  
Einstein Condensate ◽  
Three Dimensions ◽  
Quantum Gas ◽  
Many Body ◽  
Bose Einstein Condensate ◽  
Spatial Dimensions ◽  
Three Body ◽  
Bose Einstein ◽  
The Impact

The notion of a polaron, originally introduced in the context of electrons in ionic lattices, helps us to understand how a quantum impurity behaves when being immersed in and interacting with a many-body background. We discuss the impact of the impurities on the medium particles by considering feedback effects from polarons that can be realized in ultracold quantum gas experiments. In particular, we exemplify the modifications of the medium in the presence of either Fermi or Bose polarons. Regarding Fermi polarons we present a corresponding many-body diagrammatic approach operating at finite temperatures and discuss how mediated two- and three-body interactions are implemented within this framework. Utilizing this approach, we analyze the behavior of the spectral function of Fermi polarons at finite temperature by varying impurity-medium interactions as well as spatial dimensions from three to one. Interestingly, we reveal that the spectral function of the medium atoms could be a useful quantity for analyzing the transition/crossover from attractive polarons to molecules in three-dimensions. As for the Bose polaron, we showcase the depletion of the background Bose-Einstein condensate in the vicinity of the impurity atom. Such spatial modulations would be important for future investigations regarding the quantification of interpolaron correlations in Bose polaron problems.

scholarly journals Two distinguishable impurities in BEC: squeezing and entanglement of two Bose polarons

2019 ◽  
Vol 6 (1) ◽  
Author(s):  
Christos Charalambous ◽  
Miguel A. Garcia-March ◽  
Aniello Lampo ◽  
Mohammad Mehboud ◽  
Maciej Lewenstein
Keyword(s):  
Sudden Death ◽  
Stochastic Equations ◽  
Einstein Condensate ◽  
Time Limit ◽  
External Potential ◽  
Harmonic Potential ◽  
Bose Einstein Condensate ◽  
Brownian Particles ◽  
Bose Einstein ◽  
Asymptotic Time

We study entanglement and squeezing of two uncoupled impurities immersed in a Bose-Einstein condensate. We treat them as two quantum Brownian particles interacting with a bath composed of the Bogoliubov modes of the condensate. The Langevin-like quantum stochastic equations derived exhibit memory effects. We study two scenarios: (i) In the absence of an external potential, we observe sudden death of entanglement; (ii) In the presence of an external harmonic potential, entanglement survives even at the asymptotic time limit. Our study considers experimentally tunable parameters.

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