Limit of spin squeezing in trapped Bose-Einstein condensates
1 Laboratoire Kastler Brossel, École Normale Supérieure and CNRS, UPMC 24 rue Lhomond, 75231 Paris, France, EU
2 Institute of Physics, Polish Academy of Sciences - Aleja Lotników 32/46, 02-668 Warszawa, Poland, EU
Received: 1 March 2013
Accepted: 1 May 2013
The evolution of an interacting two-component Bose-Einstein condensate from an initial phase state leads to a spin squeezed state that may be used in atomic clocks to increase the signal-to-noise ratio, opening the way to quantum metrology. The efficiency of spin squeezing is limited by the finite temperature of the gas, as was shown theoretically in a spatially homogeneous system. Here we determine the limit of spin squeezing in the realistic trapped case, with classical field simulations, and with a completely analytical treatment that includes the quantum case.
PACS: 03.75.Gg – Entanglement and decoherence in Bose-Einstein condensates
© EPLA, 2013