0000000000724551
AUTHOR
Ilia Petrovich Vadeiko
Singularity formation in the Gross-Pitaevskii equation and collapse in Bose-Einstein condensates
We study the mechanisms of collapse of the condensate wave function in the Gross-Pitaevskii theory with attractive interparticle interaction. We reformulate the Gross-Pitaevskii equation as Newton's equations for a flux of particles, and introduce the collapsing fraction of particles. We assume that this collapsing fraction is expelled from the condensate due to dissipation. Using this hypothesis we analyze the dependence of the collapse behavior on the initial conditions. We find that, for a properly chosen negative scattering length, the remnant fraction of atoms becomes larger when the initial aspect ratio of the condensate is increased.
<title>Multiatom microlaser: a stable source of photons with subpoissonian statistics</title>
We studied a multi-atom model of microlaser. As initial conditions we took diagonal density matrix of atoms in the basis of symmetrized collective states. Under diagnonal invariance taking a place for such initial conditions, we considered peculiarities of dynamics of the field reduced density matrix comparing it with the one-atom case. The field possesses subpoissonian distributions in a quasistationare, which are stable with respect to relaxation and number of atoms fluctuations in a packet. When one does not measure the atomic state on output of the cavity, it is possible to observe a macroscopic superposition of few such subpoissonian distributions. Simulating a measuring process of the…