Effects of Zero Mode and Thin Spectrum on the Life Time of Atomic Bose Einstein Condensates

TL;DR

This paper investigates how zero modes and thin spectrum phenomena influence the lifetime of atomic Bose-Einstein condensates, analyzing ground state evolution, quasiparticle excitations, and effects of broken symmetry.

Contribution

It provides a detailed analysis of the impact of zero modes and thin spectrum on condensate lifetime, including calculations of quasiparticle excitation lifetimes and effects of double well potentials.

Findings

Ground state lifetime depends on zero mode and thin spectrum effects.

Quasiparticle excitation lifetimes are quantitatively estimated.

Effects of states on free energy vanish in the thermodynamic limit.

Abstract

Reviewing the ideas developed in, the ground state life time of a finite size atomic Bose Einstein condensate is studied for coherent, squeezed coherent and thermal coherent ground states. Ground state evolution of coherent and squeezed coherent states in a double well potential is studied. Effects of thin spectrum on Bose-Einstein condensates is discussed and quasiparticle excitation lifetimes are calculated. It is shown that the effect of the states we use on the free energy vanishes in the thermodynamic limit. Possible extension to a double well potential and effect of a second broken symmetry is also discussed.