Abdelaali Boudjemaa | V.N. Karazin Kharkiv National University (original) (raw)
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Papers by Abdelaali Boudjemaa
We investigate the behavior of the anomalous correlation function in two dimensional Bose gas. In... more We investigate the behavior of the anomalous correlation function in two dimensional Bose gas. In the local case, we find that this quantity has a finite value in the limit of weak interactions at zero temperature. The effects of the anomalous density on some thermodynamic quantities are also considered. These effects can modify in particular the chemical potential, the ground sate energy, the depletion and the superfluid fraction. Our predictions are in good agreement with recent analytical and numerical calculations. We show also that the anomalous density presents a significant importance compared to the non-condensed one at zero temperature. The single-particle anomalous correlation function is expressed in two dimensional homogenous Bose gases by using the density-phase fluctuation. We then confirm that the anomalous average accompanies in analogous manner the true condensate at zero temperature while it does not exist at finite temperature.
Physical Review A, 2012
We investigate the behavior of the anomalous correlation function in two dimensional Bose gas. In... more We investigate the behavior of the anomalous correlation function in two dimensional Bose gas. In the local case, we find that this quantity has a finite value in the limit of weak interactions at zero temperature. The effects of the anomalous density on some thermodynamic quantities are also considered. These effects can modify in particular the chemical potential, the ground sate energy, the depletion and the superfluid fraction. Our predictions are in good agreement with recent analytical and numerical calculations. We show also that the anomalous density presents a significant importance compared to the non-condensed one at zero temperature. The singleparticle anomalous correlation function is expressed in two dimensional homogenous Bose gases by using the density-phase fluctuation. We then confirm that the anomalous average accompanies in analogous manner the true condensate at zero temperature while it does not exist at finite temperature.
Physical Review E, 2012
We calculate the binding energy of soliton molecules of an integrable nonlinear Schro[over ̈]ding... more We calculate the binding energy of soliton molecules of an integrable nonlinear Schro[over ̈]dinger equation with time-dependent harmonic potential and cubic nonlinearity. Through a scaling transformation, an exact formula for the binding energy can be derived from that of the free soliton molecules in a homogeneous background. In the special case of oscillatory time dependence, sharp resonances occur at some integer and fractional multiples of the natural frequency of the molecule. Enhanced binding is obtained at these resonances and over some finite continuous range of low frequencies.
arXiv preprint arXiv:1212.1136, 2012
arXiv preprint arXiv:1110.0123, 2011
Page 1. Effects of the anomalous density in two-dimensional homogeneous Bose gases Abdelâali Boud... more Page 1. Effects of the anomalous density in two-dimensional homogeneous Bose gases Abdelâali Boudjemâa 1 Laboratory for Theoretical Physics and Material Physics Department of Physics, Faculty of Sciences Hassiba Benbouali University of Chlef ...
We investigate the behavior of the anomalous correlation function in two dimensional Bose gas. In... more We investigate the behavior of the anomalous correlation function in two dimensional Bose gas. In the local case, we find that this quantity has a finite value in the limit of weak interactions at zero temperature. The effects of the anomalous density on some thermodynamic quantities are also considered. These effects can modify in particular the chemical potential, the ground sate energy, the depletion and the superfluid fraction. Our predictions are in good agreement with recent analytical and numerical calculations. We show also that the anomalous density presents a significant importance compared to the non-condensed one at zero temperature. The single-particle anomalous correlation function is expressed in two dimensional homogenous Bose gases by using the density-phase fluctuation. We then confirm that the anomalous average accompanies in analogous manner the true condensate at zero temperature while it does not exist at finite temperature.
Physical Review A, 2012
We investigate the behavior of the anomalous correlation function in two dimensional Bose gas. In... more We investigate the behavior of the anomalous correlation function in two dimensional Bose gas. In the local case, we find that this quantity has a finite value in the limit of weak interactions at zero temperature. The effects of the anomalous density on some thermodynamic quantities are also considered. These effects can modify in particular the chemical potential, the ground sate energy, the depletion and the superfluid fraction. Our predictions are in good agreement with recent analytical and numerical calculations. We show also that the anomalous density presents a significant importance compared to the non-condensed one at zero temperature. The singleparticle anomalous correlation function is expressed in two dimensional homogenous Bose gases by using the density-phase fluctuation. We then confirm that the anomalous average accompanies in analogous manner the true condensate at zero temperature while it does not exist at finite temperature.
Physical Review E, 2012
We calculate the binding energy of soliton molecules of an integrable nonlinear Schro[over ̈]ding... more We calculate the binding energy of soliton molecules of an integrable nonlinear Schro[over ̈]dinger equation with time-dependent harmonic potential and cubic nonlinearity. Through a scaling transformation, an exact formula for the binding energy can be derived from that of the free soliton molecules in a homogeneous background. In the special case of oscillatory time dependence, sharp resonances occur at some integer and fractional multiples of the natural frequency of the molecule. Enhanced binding is obtained at these resonances and over some finite continuous range of low frequencies.
arXiv preprint arXiv:1212.1136, 2012
arXiv preprint arXiv:1110.0123, 2011
Page 1. Effects of the anomalous density in two-dimensional homogeneous Bose gases Abdelâali Boud... more Page 1. Effects of the anomalous density in two-dimensional homogeneous Bose gases Abdelâali Boudjemâa 1 Laboratory for Theoretical Physics and Material Physics Department of Physics, Faculty of Sciences Hassiba Benbouali University of Chlef ...