# Abdelaali Boudjemaa

## Université Hassiba Ben Bouali de Chlef

H-index: 18

Africa-Algeria

## About Abdelaali Boudjemaa

Abdelaali Boudjemaa, With an exceptional h-index of 18 and a recent h-index of 13 (since 2020), a distinguished researcher at Université Hassiba Ben Bouali de Chlef, specializes in the field of Quantum gases, Bose polarons, Superfluidity, Solitons, Disordered systems.

His recent articles reflect a diverse array of research interests and contributions to the field:

Quantum droplet molecules in Bose-Bose mixtures

Diffusive expansion of a dipolar Bose–Einstein condensate in three-dimensional disorder potentials

Self-bound liquid droplets in one-dimensional optical speckle potentials

Self-bound droplets with uncorrelated disordered potentials

A charged Coulomb Bose gas with dipole-dipole interactions

Discrete quantum droplets in one-dimensional binary Bose–Einstein condensates

Anisotropy effects on the quantum transport of atomic matter waves

Quantum liquid droplets in Bose mixtures with weak disorder

### Abdelaali Boudjemaa Information

University | Université Hassiba Ben Bouali de Chlef |
---|---|

Position | ___ |

Citations(all) | 805 |

Citations(since 2020) | 500 |

Cited By | 509 |

hIndex(all) | 18 |

hIndex(since 2020) | 13 |

i10Index(all) | 29 |

i10Index(since 2020) | 20 |

University Profile Page | Université Hassiba Ben Bouali de Chlef |

#### Abdelaali Boudjemaa Skills & Research Interests

Quantum gases

Bose polarons

Superfluidity

Solitons

Disordered systems

## Top articles of Abdelaali Boudjemaa

### Quantum droplet molecules in Bose-Bose mixtures

We investigate the interaction between two self-bound droplets separated by a finite distance in one-dimensional symmetric Bose-Bose mixtures. The main objective is to identify the regime where such two identical droplets support a stable bound-state known as droplet molecule. Our analysis is based on the generalized Gross-Pitaevskii equation, combining cubic and quadratic nonlinearities, which is solved by both variational method and numerical simulation. We calculate in particular the droplet-droplet interaction potential, the binding energy, the density profiles and the width of the droplet. It is shown that the developed variational approximation properly predicts the stability and the static and dynamic properties of such droplet molecules. Our results reveal that under appropriate adjustment of the system parameters such as the droplet separation and the number of atoms, a stable bound-state is formed in the …

Authors

Khelifa Mohammed Elhadj,L Al Sakkaf,Abdelâali Boudjemâa,U Al Khawaja

Journal

Physics Letters A

Published Date

2024/1/15

### Diffusive expansion of a dipolar Bose–Einstein condensate in three-dimensional disorder potentials

We study the effects of dipole–dipole interactions on the diffusion of an expanding atomic Bose–Einstein condensate with tunable s-wave interactions in three-dimensional disorder potentials. First-order correction due to local and nonlocal nonlinearities to the average atomic density is analytically calculated in the long expanding time limit using a perturbative theory. It is found that the diffusion coefficient exhibits a stronger anisotropy dependence due to the dipolar interactions. We show that the intriguing interplay of dipolar and nondipolar interactions and disorder potential may affect the diffusive expansion.

Authors

Zohra Mehri,Abdelaali Boudjemaa

Journal

The European Physical Journal B

Published Date

2024/4

### Self-bound liquid droplets in one-dimensional optical speckle potentials

We present a comprehensive description of the equilibrium properties of self-bound liquid droplets in one-dimensional optical speckle potentials at both zero and finite temperatures. Using the Bogoliubov theory we calculate analytically the equation of state, fluctuations induced by disorder, and the equilibrium density. In particular, we show that the peculiar competition between the speckle disorder, the interactions and the Lee-Huang-Yang quantum fluctuations may strongly affect the stability and the formation of the self-bound droplet. We address also the static and dynamical properties of such a disorered droplet using the generalized disorder-dependent Gross-Pitaevskii equation. Notably, impacts of a weak speckle potential are treated numerically for both small droplets of an approximately Gaussian shape and large droplets with a flat-top plateau.

Authors

Karima Abbas,Abdelaali Boudjemaa

Journal

New Journal of Physics

Published Date

2024/3/2

### Self-bound droplets with uncorrelated disordered potentials

We investigate the effects of an external random -correlated potential on the bulk properties of self-bound droplets in three-dimensional binary Bose-Einstein condensates. The ground-state energy and the quantum fluctuation induced by disorder are computed utilizing the Bogoliubov theory. We provide a comprehensive stability phase-diagram for the resulting dirty droplets. At finite temperature, we calculate the free energy, and the thermal equilibrium density in terms of the disorder parameters. We show that the intriguing interplay of the thermal correction and the disorder may dissolve the droplet.

Authors

Karima Abbas,Abdelaali Boudjemaa

Journal

Journal of Physics B: Atomic, Molecular and Optical Physics

Published Date

2024/2/2

### A charged Coulomb Bose gas with dipole-dipole interactions

We systematically study the properties of a charged Coulomb Bose gas with dipole-dipole interactions in the weak coupling limit at both zero and finite temperatures using the Hartree-Fock-Bogoliubov approach. We numerically analyze the collective excitations, the condensate fraction, the depletion, the chemical potential, and the static structure factor. Moreover, we compare our new findings with those of nondipolar charged Coulomb Bose gas. Our results reveal that the complex interplay of Coulomb and dipole-dipole interactions may modify the stability, the thermodynamics and the coherence of the system.

Authors

Abdelâali Boudjemâa

Journal

Physics Letters A

Published Date

2023/3/28

### Discrete quantum droplets in one-dimensional binary Bose–Einstein condensates

We discuss the propagation and interaction of discrete quantum droplets in one-dimensional binary Bose mixtures by variationally and numerically solving the underlying generalized discrete Gross–Pitaevskii equation. Useful analytical expressions are obtained for the energy, the chemical potential, the density profile, and the droplet separation in the regime of a small droplet. We show that for weak lattice coupling, the stationary state of small droplets remains intact and does not display any special structures. An irregular dynamics is observed in both single and dual droplets with flat-top plateau in the limit of relatively strong coupling. Our results reveal also that two droplets interact weakly and cannot form a bound-state due to the intriguing interplay of the discreteness and quantum fluctuations.

Authors

Abdelâali Boudjemâa,Khelifa Mohammed Elhadj

Journal

Chaos, Solitons & Fractals

Published Date

2023/11/1

### Anisotropy effects on the quantum transport of atomic matter waves

We discuss effects of anisotropic scattering in transport properties of ultracold atoms in three-dimensional optical potentials. Within the realm of the first Born approximation, we calculate the self energy, the scattering mean free time, the scattering mean free path, and the anisotropy factor. The behavior of the diffusion constant as a function of the wavenumber is also examined in diffusive and weak localization regimes. We show that these quantities are affected by quantum corrections due to the interference caused by disorder. The dimensionless conductance is evaluated using the scaling theory of localization. Our results are compared with previous theoretical and the experimental results.

Authors

Afifa Yedjour,Abdelâali Boudjemâa

Journal

Physica Scripta

Published Date

2023/3/9

### Quantum liquid droplets in Bose mixtures with weak disorder

We study the properties of self-bound liquid droplets of three-dimensional Bose mixtures in a weak random potential with Gaussian correlation function at both zero and finite temperatures. Using the Bogoliubov theory, we derive useful formulas for the ground-state energy, the equilibrium density, the depletion, and the anomalous density of the droplet. The quantum fluctuation induced by the disorder known as the glassy fraction is also systematically computed. At finite temperature, we calculate the free energy, the thermal equilibrium density, and the critical temperature in terms of the disorder parameters. We show that when the strength and the correlation length of the disorder potential exceed a certain critical value, the droplet evaporates and is eventually entirely destroyed. We calculate the density profiles of this exotic state by means of numerical simulations of the corresponding generalized disorder Gross …

Authors

Karima Abbas,Abdelâali Boudjemâa

Journal

Physical Review A

Published Date

2023/3/7

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

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 …

Authors

Abdelâali Boudjemâa,Karima Abbas

Journal

New Journal of Physics

Published Date

2023/9/29

### Effects of higher-order fluctuations on the bulk and surface properties of quantum droplets in a heteronuclear Bose-Bose mixture

We discuss the bulk and surface properties of ultradilute self-bound quantum droplets in a heteronuclear Bose-Bose mixture in the presence of higher-order quantum and thermal fluctuations. Within the realm of the Hartree-Fock-Bogoliubov theory, we calculate beyond the Lee-Huang-Yang corrections to the ground-state energy, the droplet equilibrium density, the surface tension, and the critical number of particles. Our predictions are compared with recent diffusion Monte Carlo simulation and density functional theory method and excellent agreement is found. We address in addition the effects of temperature on the formation and on the robustness of the heteronuclear self-bound mixtures.

Authors

Abdelâali Boudjemâa,Nadia Guebli

Journal

Physical Review A

Published Date

2023/7/10

### Quantum localization corrections from the Bethe–Salpeter equation

We investigate coherent matter wave transport in isotropic 3D speckle potentials by using the Bethe–Salpeter equation and the self-consistent theory of localization. This model constitutes an efficient tool to properly evaluate corrections to Boltzmann diffusion by taking into consideration quantum interference terms between the multiple-scattering paths. We calculate analytically and numerically the static current density, the density of states, the dipolar contribution and the reduced diffusion coefficient. Our results reveal that quantum corrections to diffusive transport, known as weak localization may not only lead to shift the above quantities but affect also the position of the mobility edge.

Authors

Afifa Yedjour,Abdelaali Boudjemaa

Journal

Physica B: Condensed Matter

Published Date

2023/4/1

### Moving binary Bose-Einstein condensates in a weak random potential

We study the behavior of moving Bose-Bose mixtures in a weak disordered potential in the realm of the Bogoliubov-Huang-Meng theory. Corrections due to the quantum fluctuations, disorder effects and the relative motion of two fluids to the glassy fraction, the condensed depletion, the anomalous density, and the equation of state of each species are obtained analytically for small velocity. We show that the intriguing interplay of the relative motion and the disorder potential could not only change the stability condition, but destroy also the localization process in the two condensates preventing the formation of a Bose glass state. Unexpectedly, we find that the quantum fluctuations reduce with the velocity of the two fluids. The obtained theoretical predictions are checked by our numerical results.

Authors

Abdelâali Boudjemâa

Journal

Physics Letters A

Published Date

2022/2/6

### Weakly interacting Bose gases with generalized uncertainty principle: Effects of quantum gravity

We investigate quantum gravity corrections due to the generalized uncertainty principle on three-dimensional weakly interacting Bose gases at both zero and finite temperatures using the time-dependent Hatree–Fock–Bogoliubov theory. We derive useful formulas for the depletion, the anomalous density, and some thermodynamic quantities such as the chemical potential, the ground-state energy, the free energy, and the superfluid density. It is found that the presence of a minimal length leads to modify the fluctuations of the condensate and its thermodynamic properties in the weak and strong quantum gravitational regimes. Unexpectedly, the interplay of quantum gravity effects and quantum fluctuations stemming from interactions may lift both the condensate and the superfluid fractions. We show that quantum gravity minimizes the interaction force between bosons leading to the formation of ultradilute Bose …

Authors

Abdelâali Boudjemâa

Journal

The European Physical Journal Plus

Published Date

2022/2

### Dynamic evolution of expanding Bose–Einstein condensates in the presence of a three-dimensional random optical speckle potential

We study the diffusion of an expanding Bose–Einstein condensate released from a harmonic trap in a three-dimensional speckle disorder potential. To this end, we use the first Born approximation and examine the density profiles at short and long times. Analytical results are presented in different regimes. The evolution of the density profiles in space and time is deeply examined. We find that at long times and for a fixed disorder strength, the profile of the average atomic density decreases in power law. The time evolution of the typical size of the condensate is explored numerically.

Authors

Afifa Yedjour,Hanane Benmahdjoub,Abdelâali Boudjemâa

Journal

Physica Scripta

Published Date

2022/1/20

### Moving Bose mixtures with dipole–dipole interactions

We study the properties of moving uniform dipolar Bose–Bose mixtures using the full Hartree–Fock–Bogoliubov theory. The analytical and numerical calculations emphasize that the competition between the relative motion of two fluids and the interspecies dipole–dipole interactions may affect the behavior of the condensed depletion, the anomalous density, the ground-state energy and second-order pair correlation. It is found that in the lower branch of the mixture, these quantities are unimportant and present an unconventional behavior. Graphic abstract

Authors

Bakhta Chérifi,Abdelâali Boudjemâa

Journal

The European Physical Journal D

Published Date

2022/11

### Binary Bose–Einstein condensates in a disordered time-dependent potential

We study the non-equilibrium evolution of binary Bose–Einstein condensates in the presence of a weak random potential with Gaussian correlation function using the time-dependent perturbation theory. We apply this theory to construct a closed set of equations that highlight the role of the spectacular interplay between the disorder and the interspecies interactions in the time evolution of the density induced by disorder in each component. It is found that this latter increases with time favoring localization of both species. The time scale at which the theory remains valid depends on the respective system parameters. We show analytically and numerically that such a system supports a steady state that periodically changing during its time propagation. The obtained dynamical corrections indicate that disorder may transform the system into a stationary out-of-equilibrium states. Understanding this time evolution is pivotal …

Authors

Karima Abbas,Abdelâali Boudjemâa

Journal

Journal of Physics: Condensed Matter

Published Date

2022/1/10

### Ultradilute Quantum Droplets in the Presence of Higher-Order Quantum Fluctuations

We investigate the effects of higher-order quantum fluctuations on the bulk properties of self-bound droplets in three-, two- and one-dimensional binary Bose mixtures using the Hartree–Fock–Bogoliubov theory. We calculate higher-order corrections to the equation of state of the droplet at both zero and finite temperatures. We show that our results for the ground-state energy are in a good agreement with recent quantum Monte Carlo simulations in any dimension. Our study extends to the finite temperature case where it is found that thermal fluctuations may destabilize the droplet state and eventually destroy it. In two dimensions, we reveal that the droplet occurs at temperatures well below the Berezinskii–Kosterlitz–Thouless transition temperature.

Authors

Abdelaali Boudjemaa,Karima Abbas,Nadia Guebli

Journal

Atoms

Published Date

2022/6/17

### Quantum self-bound droplets in Bose-Bose mixtures: Effects of higher-order quantum and thermal fluctuations

We systematically study the effects of higher-order quantum and thermal fluctuations on the stabilization of self-bound droplets in Bose mixtures employing the time-dependent Hartree-Fock-Bogoliubov theory. We calculate the ground-state energy, the droplet equilibrium density, the depletion and anomalous density of the droplets as well as the critical temperature as a function of the relevant parameters. Our findings are compared with previous analytical predictions and diffusion Monte Carlo simulations. We employ our theory together with the local density approximation for quantum and thermal fluctuations to obtain an extended finite-temperature Gross-Pitaevskii equation. The density profiles and breathing modes of the droplet are deeply examined in terms of the interaction strength and the temperature by numerically solving the developed generalized Gross-Pitaevskii equation.

Authors

Nadia Guebli,Abdelâali Boudjemâa

Journal

Physical Review A

Published Date

2021/8/11

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

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 …

Authors

Abdelâali Boudjemâa

Journal

Scientific Reports

Published Date

2021/11/5

### Breathing modes of repulsive polarons in Bose–Bose mixtures

We consider impurity atoms embedded in a two-component Bose–Einstein condensate in a quasi-one dimensional regime. We study the effects of repulsive coupling between the impurities and Bose species on the equilibrium of the system for both miscible and immiscible mixtures by numerically solving the underlying coupled Gross–Pitaevskii equations. Our results reveal that the presence of impurities may lead to a miscible–immiscible phase transition due to the interaction of the impurities and the two condensates. Within the realm of the Bogoliubov–de Gennes equations we calculate the quantum fluctuations due to the different types of interactions. The breathing modes and the time evolution of harmonically trapped impurities in both homogeneous and inhomogeneous binary condensates are deeply discussed in the miscible case using variational and numerical means. We show in particular that the self …

Authors

Abdelâali Boudjemâa,Nadia Guebli,Mohammed Sekmane,Sofyan Khlifa-Karfa

Journal

Journal of Physics: Condensed Matter

Published Date

2020/7/16

### Singular soliton molecules of the nonlinear Schrödinger equation

We derive an exact solution to the local nonlinear Schrödinger equation (NLSE) using the Darboux transformation method. The solution describes the profile and dynamics of a two-soliton molecule. Using an algebraically decaying seed solution, we obtain a two-soliton solution with diverging peaks, which we denote as singular soliton molecule. We find that this solution has a finite binding energy. We calculate the force and potential of interaction between the two solitons, which turn out to be of molecular-type. The robustness of the bond between the two solitons is also verified. Furthermore, we obtain an exact solution to the nonlocal NLSE using the same method and seed solution. The solution in this case corresponds to an elastic collision of a soliton, a breather soliton on flat background, and a breather soliton on a background with linear ramp. Finally, we consider an NLSE which is nonlocal in time rather than …

Authors

Khelifa Mohammed Elhadj,L Al Sakkaf,U Al Khawaja,Abdelâali Boudjemâa

Journal

Physical Review E

Published Date

2020/4/30

### Equilibrium and scattering properties of a nonlocal three-soliton molecule in Bose–Einstein condensates with competing nonlinearities

We carry out numerical and variational investigation of equilibrium and scattering properties of a bright three-soliton molecule in Bose–Einstein condensates with competing local and nonlocal nonlinearities in one-dimensional geometry. Our model predicts that the degree of the nonlocality and the soliton phase may strongly affect the binding energy and the soliton width. We show that the interaction of three solitons depends on their separation distance and on their relative phase. The scattering properties of these composite nonlinear structures by Gaussian potential barrier are analyzed variationally and numerically. It is found that stable transmission and reflection where the molecular structure is preserved can occur only for a specific barrier height and soliton velocity.

Authors

Khelifa Mohammed Elhadj,Abdelâali Boudjemâa

Journal

Physica Scripta

Published Date

2020/12/10

### Effects of weak disorder on two-dimensional bilayered dipolar Bose–Einstein condensates

We investigate properties of two-dimensional bilayered dipolar Bose condensed gases in a weak random potential with Gaussian correlation at zero temperature. Here the dipoles are oriented perpendicularly to the layers and in parallel/antiparallel configurations. We calculate analytically and numerically the condensate depletion, the one-body density-matrix, and the superfluid fraction in the framework of the Bogoliubov theory. Our analysis not only provides fascinating new results do not exist in the literature but also shows that the intriguing interplay between the disorder, the interlayer coupling and the polarization orientation may lead to localize/delocalize the condensed particles results in the formation of glassy/superfluid phases. For a pure short-range interaction and a vanishing correlation length and a small interlayer distance, we reproduce the seminal results of Huang and Meng. While for a vanishing …

Authors

Abdelâali Boudjemâa,Redaouia Keltoum

Journal

Chaos, Solitons & Fractals

Published Date

2020/2/1

### Superfluidity and coherence in uniform dipolar binary Bose mixtures

We investigate the superfluidity and the coherence in dipolar binary Bose mixtures using the hydrodynamic approach. Useful analytical formulas for the excitation spectra, the first-order correlation function, the static structure factor, and the superfluid fraction are derived. We find that in the case of highly imbalanced mixture, the superfluidity can occur in the dilute component only at extremely low temperatures. The behavior of the first-order correlation function for both dipolar and nondipolar Bose mixtures is deeply analyzed. Then we face the two-dimensional case which encodes a non-trivial physics due to the roton modes.

Authors

Abdelâali Boudjemâa

Journal

Journal of Physics A: Mathematical and Theoretical

Published Date

2020/10/6

### Bose-Bose mixtures in a weak-disorder potential: Fluctuations and superfluidity

We study the properties of a homogeneous dilute Bose-Bose gas in a weak-disorder potential at zero temperature. By using the perturbation theory, we calculate the disorder corrections to the condensate density, the equation of state, the compressibility, and the superfluid density as a function of density, strength of disorder, and miscibility parameter. It is found that the disorder potential may lead to modifying the miscibility-immiscibility condition and a full miscible phase turns out to be impossible in the presence of the disorder. We show that the intriguing interplay of the disorder and intra-and interspecies interactions may strongly influence the localization of each component, the quantum fluctuations, and the compressibility, as well as the superfluidity of the system.

Authors

Abdelâali Boudjemâa,Karima Abbas

Journal

Physical Review A

Published Date

2020/8/25

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

We investigate the effects of quantum correlations on dipolar quantum droplets. To this end, we derive self-consistent time-dependent Hartree-Fock-Bogoliubov equations that fairly describe the dynamics of the order parameter, the normal quantum correlations, and anomalous quantum correlations of the droplet. We analyze the density profiles, the critical number of particles, the condensate depletion, and the pair correlation function. Our predictions are compared with very recent experimental and quantum Monte Carlo simulations results and excellent agreement is found.

Authors

Abdelâali Boudjemâa,Nadia Guebli

Journal

Physical Review A

Published Date

2020/8/5

## Abdelaali Boudjemaa FAQs

### What is Abdelaali Boudjemaa's h-index at Université Hassiba Ben Bouali de Chlef?

The h-index of Abdelaali Boudjemaa has been 13 since 2020 and 18 in total.

### What are Abdelaali Boudjemaa's top articles?

The articles with the titles of

Quantum droplet molecules in Bose-Bose mixtures

Diffusive expansion of a dipolar Bose–Einstein condensate in three-dimensional disorder potentials

Self-bound liquid droplets in one-dimensional optical speckle potentials

Self-bound droplets with uncorrelated disordered potentials

A charged Coulomb Bose gas with dipole-dipole interactions

Discrete quantum droplets in one-dimensional binary Bose–Einstein condensates

Anisotropy effects on the quantum transport of atomic matter waves

Quantum liquid droplets in Bose mixtures with weak disorder

...

are the top articles of Abdelaali Boudjemaa at Université Hassiba Ben Bouali de Chlef.

### What are Abdelaali Boudjemaa's research interests?

The research interests of Abdelaali Boudjemaa are: Quantum gases, Bose polarons, Superfluidity, Solitons, Disordered systems

### What is Abdelaali Boudjemaa's total number of citations?

Abdelaali Boudjemaa has 805 citations in total.