Quantum and thermal fluctuations in two-component Bose gases

Boudjemâa, Abdelâali

doi:10.1103/physreva.97.033627

Cited by 44 publications

(81 citation statements)

References 99 publications

(160 reference statements)

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“…Our analysis can be extended to the finite temperature using the complete TDHFB theory where Eq. (2) could be rewritten as [2ñ(p, r) + 1] 2 − 4|m(p, r)| 2 = coth 2 (ε(p, r)/2T ) [55]. In such a case, one can expect that the impurity becomes less localized.…”

Section: Discussionmentioning

confidence: 99%

Effects of quantum fluctuations on the dynamics of dipolar Bose polarons

Guebli

Boudjemâa

2019

J. Phys. B: At. Mol. Opt. Phys.

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We study the dynamics of dipolar Bose polarons in the presence of the normal and anomalous fluctuations using the time-dependent Hartree-Fock-Bogoliubov theory. The density profiles of the condensate, the anomalous component and the impurity are deeply analyzed. The time evolution of the width and the center-of-mass oscillation of such quantities is also highlighted. We calculate corrections due to quantum fluctuations and impurity to the chemical potential and the radius of the condensate and of the anomalous component in the weak coupling regime using the Thomas-Fermi approximation. Effects of the dipole-dipole interaction, impurity-host interaction and the anomalous fluctuation on the width and on the breathing frequencies of the impurity are discussed by variational and numerical means.

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Section: Discussionmentioning

confidence: 99%

Effects of quantum fluctuations on the dynamics of dipolar Bose polarons

Guebli

Boudjemâa

2019

J. Phys. B: At. Mol. Opt. Phys.

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“…The elementary excitation energies ε k can be obtained by considering small perturbations of the order parameter around the equilibrium solution ψ 0j namely: ψ j = ψ 0j + δψ j , where δψ j ≪ ψ 0j . This is the well known Bogoliubov theory [1,2,39,40]. In the homogeneous case, the Fourier transform of the potential (2) reads V inter (k) = g d k 2 [K 0 (kλ) + K 2 (kλ)], where K 0 (y) and K 2 (y) are modified Bessel functions, and the small amplitude fluctuations are given as…”

Section: Stability Of the Uniform Systemmentioning

confidence: 99%

Interwires polar soliton molecules in a biwire system

Elhadj¹,

Boudjemâa²,

Khawaja³

2019

Phys. Scr.

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We investigate stability the dynamical properties of one-dimensional interwires polar soliton molecules in a biwire setup with dipole moments aligned perpendicularly to the line of motion and in opposite directions in different wires. Numercial results based on a nonlocal nonlinear Schrödinger equation reveal the existence of a bound state leading to the formation of a molecule. We show that the degree of the nonlocality and the interwire separation play an important role in stabilizing the molecules. Dynamics of the width and center-of-mass of a solitons is also analyzed in terms of the system parameters.

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“…Hence, is crucial for the stability of Bose gases. Its involvement in such systems leads to a double counting of the interaction effects 30 .…”

Section: Fluctuations and Thermodynamics Of 2d Bose Mixturesmentioning

confidence: 99%

Many-body and temperature effects in two-dimensional quantum droplets in Bose–Bose mixtures

Boudjemâa

2021

Sci Rep

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We study the equilibrium properties of self-bound droplets in two-dimensional Bose mixtures employing the time-dependent Hartree–Fock–Bogoliubov theory. This theory allows one to understand both the many-body and temperature effects beyond the Lee–Huang–Yang description. We calculate higher-order corrections to the excitations, the sound velocity, and the energy of the droplet. Our results for the ground-state energy are compared with the diffusion Monte Carlo data and good agreement is found. The behavior of the depletion and anomalous density of the droplet is also discussed. At finite temperature, we show that the droplet emerges at temperatures well below the Berezinskii–Kosterlitz–Thouless transition temperature. The critical temperature strongly depends on the interspecies interactions. Our study is extended to the finite size droplet by numerically solving the generalized finite-temperature Gross-Pitaevskii equation which is obtained self-consistently from our formalism in the framework of the local density approximation.

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Quantum and thermal fluctuations in two-component Bose gases

Cited by 44 publications

References 99 publications

Effects of quantum fluctuations on the dynamics of dipolar Bose polarons

Effects of quantum fluctuations on the dynamics of dipolar Bose polarons

Interwires polar soliton molecules in a biwire system

Many-body and temperature effects in two-dimensional quantum droplets in Bose–Bose mixtures

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