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arXiv · 0907.3147

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

Inigo Urizar-Lanz·Geza Toth
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Abstract

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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Inigo Urizar-Lanz, Geza Toth. 2010-06-07. Number operator-annihilation operator uncertainty as an alternative of the number-phase uncertainty relation. https://doi.org/10.1103/physreva.81.052108

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