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Abstract
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We introduce excited coherent states, | β,α; n⟩ B a†n| β,α⟩, where n is an integer
and states | β,α⟩ denote the coherent states of a charged particle in a uniform magnetic
field. States | β,α⟩ minimize the Schrödinger-Robertson uncertainty relation
while having the nonclassical properties. It has been shown that the resolution of
identity condition is realized with respect to an appropriate measure on the complex
plane. Some of the nonclassical features such as sub-Poissonian statistics and
quadrature squeezing of these states are investigated. Our results are compared with
similar Agarwal’s type photon added coherent states (PACSs) and it is shown that,
while photon-counting statistics of | β,α,n⟩ are the same as PACSs, their squeezing
properties are different. It is also shown that for large values of | β|, while they
are squeezed, they minimize the uncertainty condition. Additionally, it has been
demonstrated that by changing the magnitude of the external magnetic field, Bext, the
squeezing effect is transferred from one component to another. Finally, a new scheme
is proposed to generate states | β,α; n⟩ in cavities.
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