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Nonclassical Properties of Coherent States

Lars M. Johansen
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Abstract

It is demonstrated that a weak measurement of the squared quadrature observable may yield negative values for coherent states. This result cannot be reproduced by a classical theory where quadratures are stochastic $c$-numbers. The real part of the weak value is a conditional moment of the Margenau-Hill distribution. The nonclassicality of coherent states can be associated with negative values of the Margenau-Hill distribution. A more general type of weak measurement is considered, where the pointer can be in an arbitrary state, pure or mixed.

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Lars M. Johansen. 2004-02-07. Nonclassical Properties of Coherent States. https://doi.org/10.1016/j.physleta.2004.07.003

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