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

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.

arXiv comment8 pages, 9 figures, Proceeding of 14th Central European Workshop on Quantum Optics To be published in European Physical Journal Special Topics

References in corpus (10)

• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Long Phase Coherence Time and Number Squeezing of two Bose-Einstein Condensates on an Atom Chip
• Resonant control of spin dynamics in ultracold quantum gases by microwave dressing
• Probing number squeezing of ultracold atoms across the superfluid-Mott insulator transition
• Finite Temperature Perturbation Theory for a Spatially Inhomogeneous Bose-condensed Gas
• A theoretical study on the damping of collective excitations in a Bose-Einstein condensate
• An intrinsic limit to quantum coherence due to spontaneous symmetry breaking
• On the relation between decoherence and spontaneous symmetry breaking
• Coherence lifetimes of excitations in an atomic condensate due to the thin spectrum
• Squeezing in the weakly interacting uniform Bose condensate