The Superposition of Coherent States Along a Straight Line with Thermal Noise

I. Földesi, Петер Адам, József Janszky

Apostol Vourdas

Zhen‐Biao Yang, Bin Zhang, Shi‐Biao Zheng

Yang, Zhen-Biao

Петер Адам, I. Földesi, József Janszky

The properties of one-dimensional straight-line superposition states obtained as a continuous generalization of the even and odd coherent states are studied. Superposition states with Hermite-polynomial--Gaussian distribution functions are introduced. These states form a complete orthonormal basis set in the Hilbert space of quantum oscillators. This basis makes it possible to obtain the straight-line coherent-state distribution function for a given state. As an example, the distribution functions for squeezed coherent states are derived.

Zhen‐Biao Yang

We present an alternative scheme for preparing the superpositions of coherent states along a straight line of a cavity field using degenerate atom-cavity field Raman interaction. In the scheme, a collection of Λ-type three-level atoms is orderly sent through the cavity to interact with the cavity field adjusted by a microwave source connected to it, followed by state-selective measurements. In this way, we can prepare the superpositions of several coherent states along a straight line with arbitrary weighting factors for the cavity field. In the scheme, the coherence of the atom-cavity system may be maintained and the second microwave field is unnecessary, which is prior to the previous scheme.