Quantum correlations in dipolar droplets: Time-dependent Hartree-Fock-Bogoliubov theory

Boudjemâa, Abdelâali; Guebli, Nadia

doi:10.1103/physreva.102.023302

Cited by 20 publications

(22 citation statements)

References 54 publications

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“…Remarkably, in 3D our theory shows an excellent agreement with DMC data and the previous theoretical results for the energy and the equilibrium density 31 . Regarding self-bound droplets of single dipolar BECs, the TDHFB provides also satisfactory explanations to experimental results and gives best match with the latest QMC simulation 23 .…”

Section: Introductionsupporting

confidence: 57%

“…First, the generalized GPE disagrees with some experimental measurements 2 and quantum Monte Carlo (QMC) method 21 , 22 . In addition, it fails to properly predict the critical atom number 20 , 23 and to describe effects of quantum correlations 23 . In this regard, many theoretical works beyond the generalized GPE have been introduced to study the properties of self-bound droplets 19 – 22 , 24 – 28 .…”

Section: Introductionmentioning

confidence: 99%

“…Very recently, we have developed an interesting theoretical model beyond the standard LHY 23 , 29 – 31 called the time-dependent Hartree-Fock-Bogoliubov theory (TDHFB) able to selfconsistently explain the behavior of quantum self-bound droplets at both zero and finite temperatures 23 , 29 – 31 . An essential feature of the variational TDHFB theory is that it takes into account the normal and anomalous fluctuations which are crucial, in order to have a consistent description of the droplet.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionsupporting

confidence: 57%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Boudjemâa

2021

Sci Rep

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“…Theories beyond EGPE, such as quantum Monte Carlo method [23][24][25][26][27][28] and time-dependent Hatree-Fock-Bogoliubov equations [29], are employed to study the properties of the self-bound droplets. Higher order corrections to the EGPE have also been developed [30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Self-bound droplets in quasi-two-dimensional dipolar condensates

Wang¹,

Shi²,

Yi³

2021

Preprint

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We study the ground-state properties of self-bound dipolar droplets in quasi-two-dimensional geometry by using the Gaussian state theory. We show that there exist two quantum phases corresponding to the macroscopic squeezed vacuum and squeezed coherent states. We further show that the radial size versus atom number curve exhibits a double-dip structure, as a result of the multiple quantum phases. In particular, we find that the critical atom number for the self-bound droplets is determined by the quantum phases, which allows us to distinguish the quantum state and validates the Gaussian state theory.

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“…First, the generalized GPE disagrees with some experimental measurements [2] and quantum Monte Carlo (QMC) method [21,22]. In addition, it fails to properly predict the critical atom number [20,23] and to describe effects of quantum correlations [23]. In this regard, many theoretical works beyond * a.boudjemaa@univ-chlef.dz the generalized GPE have been introduced to study the properties of self-bound droplets [19][20][21][22][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

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

Boudjemaa

2021

Preprint

View full text Add to dashboard Cite

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.

show abstract

Quantum correlations in dipolar droplets: Time-dependent Hartree-Fock-Bogoliubov theory

Cited by 20 publications

References 54 publications

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

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

Self-bound droplets in quasi-two-dimensional dipolar condensates

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

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