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Bright Solitons in Asymmetrically Trapped Bose-Einstein Condensates

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Golam Ali S., Talukdar B., Roy S.
Acta Physica Polonica A
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2007
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vol. 111
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issue 3
289-297
EN
We study the dynamics of bright solitons in a Bose-Einstein condensate confined in a highly asymmetric trap. While working within the framework of a variational approach we carry out the stability analysis of the Bose-Einstein condensate solitons against collapse. When the number of atoms in the soliton exceeds a critical number N_c, it undergoes the so-called primary collapse. We find an analytical expression for N_c in terms of appropriate experimental quantities that are used to produce and confine the condensate. We further demonstrate that, in the geometry of the problem considered, the width of the soliton varies inversely as the number of constituent atoms.
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Matter-Wave Bright Solitons of ^7Li Gas in an Expulsive Potential

100%
Golam Ali S., Talukdar B., Roy S.
Acta Physica Polonica A
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2007
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vol. 112
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issue 6
1165-1170
EN
A Lagrangian based method is used to derive an analytical model for studying the dynamics of matter-wave bright soliton created in a harmonic potential which is attractive in the transverse direction and expulsive in the longitudinal direction. By means of sech trial functions and a Ritz optimization procedure, evolution equations are constructed for width, amplitude and nonlinear frequency chirp of the propagating soliton of the atomic condensate. Our equation for the width is an exact agreement with that of Carr and Castin, obtained by more detailed analysis. In agreement with the experiment of Paris group, the expulsive potential is found to cause the soliton to explode for N|a_s|=0.98, N being the number of atoms in the condensate and a_s -- the scattering length of the atom-atom interaction.
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Embedded Soliton Solutions: A Variational Study

100%
Pal D., Golam Ali S., Talukdar B.
Acta Physica Polonica A
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2008
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vol. 113
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issue 2
707-712
EN
We use a variational method to construct soliton solutions for systems characterized by opposing dispersion and competing nonlinearities at fundamental and second harmonics. We show that both ordinary and embedded solitons tend to gain energy when the second harmonic field becomes weaker than the first harmonic field.
4
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Fractional Revival of Rydberg Wave Packets in Twice-Kicked One-Dimensional Atoms

100%
Chatterjee S., Saha A., Talukdar B.
Acta Physica Polonica A
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2011
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vol. 120
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issue 3
438-442
EN
We study revival and fractional revival phenomena of wave packets in a one-dimensional Rydberg atom irradiated by two time-delayed half-cycle pulses using an autocorrelation function characterized by electronic transition probabilities as weighting factors rather than modeling them by a Gaussian or Lorentzian distribution. If the momentum (q_2) delivered to the atom by the second kick is much smaller than that (q_1) imparted by the first one, the times of revival and fractional revival coincide with those of the single kicked atom. For q_2 ≥ q_{1}/4 appearance of revival and fractional revival depends on both the values of q_2 and time delay t_1 between the pulses but more sensitively on t_1. The number of fractional revivals tends to become numerous as the value of t_1 increases.
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