Spontaneous formation of bright solitons in self-localized impurities in Bose–Einstein condensates

Boudjemâa, Abdelâali

doi:10.1016/j.cnsns.2015.09.003

Cited by 15 publications

(19 citation statements)

References 34 publications

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“…The anomalous density could play a key role in understanding the superfluidity of liquid droplets since both quantities arise from atomic correlations [53,56]. At large anomalous correlations (pairing instability), one can expect that the self-bound BEC may split into several peaks which remain spatially localized [57,58].…”

Section: Discussionmentioning

confidence: 99%

Quantum dilute droplets of dipolar bosons at finite temperature

Boudjemâa¹

2017

Annals of Physics

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We systematically study the properties of dipolar Bose gases with two-and three-body contact interactions at finite temperature using the Hartree-Fock-Bogoliubov-Popov approximation. In uniform case, we obtain an exciting new extension of the seminal Lee-Huang-Yang corrected equation of state that depends explicitly on the thermal fluctuations and on the coupling constant of the three-body interaction. We investigate, on the other hand, the effects of thermal fluctuations on the occurrence and stability of a droplet state in a Bose-Einstein condensate with strong dipole-dipole interactions. We find that at finite temperature, the droplet phase appears as a narrow peak surrounded by a broader thermal halo. We show that the number of particles inside the droplet decays with increasing temperature.

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Section: Discussionmentioning

confidence: 99%

Quantum dilute droplets of dipolar bosons at finite temperature

Boudjemâa¹

2017

Annals of Physics

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“…In such a case, a diffraction pattern at early time-evolution is observed signaling the relevance of quantum effects. Note that similar behavior holds in bright solitons in a pure BEC [35] and in Bose polarons [36] where the soliton splits into two partially coherent solitonic structures owing to the effects of quantum fluctuations. At finite temperatures, one can expect that the two splitting droplets each being a mixture of bounded and unbounded atoms.…”

Section: Periodic Modulationmentioning

confidence: 58%

Quantum droplets in one-dimensional Bose-Bose mixtures: beyond the Lee-Huang-Yang description

Boudjemâa,

Abbas

2023

New J. Phys.

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The static and dynamic properties of self-bound quantum droplets in a one-dimensional Bose-Bose mixture are discussed in the spirit of the Hartree–Fock-Bogoliubov theory. This latter enables us to provide beyond the Lee-Huang-Yang (LHY) quantum corrections to the equation of state at both zero and finite temperatures. In the uniform case our results for the ground-state energy and the critical temperature are confirmed through comparison with Quantum Monte-Carlo simulation and with available theoretical results. The density profiles are supported by numerical simulations of the generalized Gross-Pitaevskii equation which selfconsistently includes higher-order terms originating from the normal and anomalous fluctuations under the local density approximation. We show that the density exhibits a dip near its center in the flat-top plateau region for large interspecies interactions. We exemplify the impact of the beyond LHY corrections on the spatiotemporal evolution of the self-bound droplet in the presence of excitation induced by periodic density modulation. It is found that higher-order corrections may lead to the formation of a train of small droplets. We then extend our study for the case of inhomogeneous droplets in quasi one-dimensional Bose mixtures.

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“…The inclusion of the anomalous correlations in a 3D harmonically trapped Bose gas, accounts well for shifts in the lower-lying excitation of the JILA experiment [27,33]. In attractively interacting BECs, it has been found that the anomalous fluctuation causes the condensate to collapse and the 1D soliton to split into two solitonic structures [31,32,35,36].…”

Section: Introductionmentioning

confidence: 99%

“…The TDHFB equations which we choose to employ here constitute a model well suited to this task because it governs both the dynamics of the condensate and the anomalous density at finite temperature. In this quasi-1D geometry, the TDHFB equations may be represented as [21,23,29,30,[34][35][36][37][38]:…”

Section: Tdhfb Formalismmentioning

confidence: 99%

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Collective modes of a one-dimensional trapped Bose gas in the presence of the anomalous density

Boudjemâa

2016

Phys. Rev. A

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We study the collective modes of a one-dimensional (1D) harmonically trapped Bose-Einstein condensate (BEC) in the presence of the anomalous density using the time-dependent-Hartree-FockBogoliubov (TDHFB) theory. Within the hydrodynamic equations, we derive analytical expressions for the mode frequencies and the density fluctuations of the anomalous density which constitutes the minority component at very low temperature and feels an effective external potential exerted by the majority component i.e. the condensate. On the other hand, we numerically examine the temperature dependence of the breathing mode oscillations of the condensate at finite temperature in the weak-coupling regime. At zero temperature, we compare our predictions with available experimental data, theoretical treatments and Monte carlo simulations in all interaction regimes and the remaining hindrances are emphasized. We show that the anomalous correlations have a non-negligible role on the collective modes at both zero and finite temperatures.

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Spontaneous formation of bright solitons in self-localized impurities in Bose–Einstein condensates

Cited by 15 publications

References 34 publications

Quantum dilute droplets of dipolar bosons at finite temperature

Quantum dilute droplets of dipolar bosons at finite temperature

Quantum droplets in one-dimensional Bose-Bose mixtures: beyond the Lee-Huang-Yang description

Collective modes of a one-dimensional trapped Bose gas in the presence of the anomalous density

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