Effects of three-body interactions in the parametric and modulational instabilities of Bose–Einstein condensates

2011 ◽  
Vol 375 (48) ◽  
pp. 4288-4295 ◽  
Author(s):  
Etienne Wamba ◽  
Alidou Mohamadou ◽  
Thierry B. Ekogo ◽  
Jacque Atangana ◽  
Timoleon C. Kofane
Keyword(s):  
Modulational Instabilities ◽  
Three Body ◽  
Bose Einstein

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.

BOSE-EINSTEIN CONDENSATION OF ATOMS WITH ATTRACTIVE INTERACTION

1999 ◽  
Vol 13 (05n06) ◽  
pp. 625-631 ◽  
Author(s):  
N. AKHMEDIEV ◽  
M. P. DAS ◽  
A. V. VAGOV
Keyword(s):  
Statistical Physics ◽  
Scattering Length ◽  
Stationary Solutions ◽  
Attractive Potential ◽  
Einstein Condensation ◽  
Pitaevskii Equation ◽  
Bose Einstein Condensation ◽  
Three Body ◽  
Negative Scattering Length ◽  
Bose Einstein

We suggest that crucial effect on Bose-Einstein condensation in systems with attractive potential is three-body interaction. We investigate stationary solutions of the Gross-Pitaevskii equation with negative scattering length and a higher-order stabilising term in presence of an external parabolic potential. Stability properties of the condensate are similar to those for thermodynamic systems in statistical physics which have first order phase transitions. We have shown that there are three possible type of stationary solutions corresponding to stable, metastable and unstable phases. Results are discussed in relation to recently observed 7 Li condensate.

Complex solitons in Bose–Einstein condensates with two- and three-body interactions

2010 ◽  
Vol 43 (2) ◽  
pp. 025003 ◽  
Author(s):  
Utpal Roy ◽  
Rajneesh Atre ◽  
C Sudheesh ◽  
C Nagaraja Kumar ◽  
Prasanta K Panigrahi
Keyword(s):  
Three Body ◽  
Bose Einstein

scholarly journals Three-body losses in trapped Bose-Einstein-condensed gases

2004 ◽  
Vol 69 (2) ◽  
Author(s):  
Yeong E. Kim ◽  
Alexander L. Zubarev
Keyword(s):  
Three Body ◽  
Bose Einstein

scholarly journals VARIATIONAL ANALYSIS OF FLAT-TOP SOLITONS IN BOSE–EINSTEIN CONDENSATES

2011 ◽  
Vol 25 (18) ◽  
pp. 2427-2440 ◽  
Author(s):  
B. B. BAIZAKOV ◽  
A. BOUKETIR ◽  
A. MESSIKH ◽  
A. BENSEGHIR ◽  
B. A. PUMAROV
Keyword(s):  
Numerical Solution ◽  
Trial Function ◽  
Variational Analysis ◽  
Dynamic Properties ◽  
Matter Wave ◽  
Variational Approximation ◽  
Pitaevskii Equation ◽  
Three Body ◽  
Bose Einstein ◽  
Good Agreement

Static and dynamic properties of matter-wave solitons in dense Bose–Einstein condensates, where three-body interactions play a significant role, have been studied by a variational approximation (VA) and numerical simulations. For experimentally relevant parameters, matter-wave solitons may acquire a flat-top shape, which suggests employing a super-Gaussian trial function for VA. Comparison of the soliton profiles, predicted by VA and those found from numerical solution of the governing Gross–Pitaevskii equation shows good agreement, thereby validating the proposed approach.

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