Number operator-annihilation operator uncertainty as an alternative of the number-phase uncertainty relation

Details Number operator-annihilation operator uncertainty as an alternative of the number-phase uncertainty relation Number operator-annihilation operator uncertainty as an alternative of the number-phase uncertainty relation

2009-07-20

arxiv.org/abs/0907.3147v4

Phys. Rev. A 81, 052108 (2010)

Physics

Quantum Physics

8 pages including 3 figures, revtex4; v2: typos corrected, presentation improved; v3: presentation considerably extended; v4:

Scientific paper

10.1103/PhysRevA.81.052108

We consider a number operator-annihilation operator uncertainty as a well behaved alternative to the number-phase uncertainty relation, and examine its properties. We find a formulation in which the bound on the product of uncertainties depends on the expectation value of the particle number. Thus, while the bound is not a constant, it is a quantity that can easily be controlled in many systems. The uncertainty relation is approximately saturated by number-phase intelligent states. This allows us to define amplitude squeezing, connecting coherent states to Fock states, without a reference to a phase operator. We propose several setups for an experimental verification.

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