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arXiv · 1803.04902

Higher-order nonclassical properties of a shifted symmetric cat state and a one-dimensional continuous superposition of coherent states

Nasir Alam·Kathakali Mandal·Anirban Pathak
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Abstract

Role of quantum interference in the origin of higher-order nonclassical characteristics of radiation field has been probed vis-a-vis a discrete and a continuous superposition of coherent states. Specifically, the possibilities of observing higher-order nonclassical properties (e.g., higher-order antibunching (HOA), higher-order sub-Poissonian photon statistics (HOSPS), higher-order squeezing (HOS) of Hong-Mandel type and Hillery type) have been investigated using a shifted symmetric cat state that reduces to Yurke-Stoler, even and odd coherent states at various limits. This shifted symmetric cat state which can be viewed as a discrete superposition of coherent states is found to show HOA and HOSPS. Similarly, higher-order nonclassical properties of a one-dimensional continuous superposition of coherent states is also studied here. The investigation has revealed the existence of HOS and HOSPS in the one-dimensional continuous superposition of coherent states studied here. Effect of non-Gaussianity inducing operations (e.g., photon addition and addition followed by subtraction) on these superposition states have also been investigated. Finally, some comparisons have been made between the higher-order nonclassical properties of discrete and continuous superposition of coherent states.

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Nasir Alam, Kathakali Mandal, Anirban Pathak. 2018-03-13. Higher-order nonclassical properties of a shifted symmetric cat state and a one-dimensional continuous superposition of coherent states. https://doi.org/10.1007/s10773-018-3858-4

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