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Institute of Physics eBooks

Vectorial condensates

Paulsamy Muruganandam, Ramaswamy Radha

Published Nov 1, 2025• 0 citations
Publisher

Abstract

In chapter 6, one explores the dynamics of vectorial (two-component) condensates described by coupled Gross–Pitaevskii -type equations endowed with intra- and inter-species interactions. It is shown that the condensates in the temporal harmonic trap are long lived compared to their counterparts in time-independent traps. The dynamics of temporally and spatially coupled Bose–Einstein condensates are also studied. It is also demonstrated that rogue waves, which are inherently unstable can be stabilized through Feshbach resonance by manipulating scattering lengths. In other words, it is shown that one can enhance the lifetime of rogue waves through Feshbach resonance management.

DOI
10.1088/978-0-7503-5447-9ch6

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In chapter 6, one explores the dynamics of vectorial (two-component) condensates described by coupled Gross–Pitaevskii -type equations endowed with intra- and inter-species interactions. It is shown that the condensates in the temporal harmonic trap are long lived compared to their counterparts in time-independent traps. The dynamics of temporally and spatially coupled Bose–Einstein condensates are also studied. It is also demonstrated that rogue waves, which are inherently unstable can be stabilized through Feshbach resonance by manipulating scattering lengths. In other words, it is shown that one can enhance the lifetime of rogue waves through Feshbach resonance management.
Chapter 5 is devoted to the investigation of scalar between Bose–Einstein condensates with short-range interactions using quasi-one-dimensional Gross–Pitaevskii-type equations in time-independent and transient harmonic trapping potentials. Matter wave interference pattern obtained by virtue of the correlation between transient trap frequency and temporal binary interaction in the collisional dynamics of bright solitons is brought out. In addition, the impact arising by virtue of the reinforcement of three-body interaction with binary interaction is also studied.