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q-Deformed Coherent States for q-Deformed Photon by Using the Tsallis’s q-Deformed Exponential Function in the Non-Extensive Thermodynamics

In this manuscript we consider q-deformed boson algebra by using the Tsallis’s q-deformed exponential which arises in the non-extensive thermodynamics. Using this we construct q-deformed coherent states and even and… Click to show full abstract

In this manuscript we consider q-deformed boson algebra by using the Tsallis’s q-deformed exponential which arises in the non-extensive thermodynamics. Using this we construct q-deformed coherent states and even and odd q-deformed coherent states. We investigate non-classical properties of these q-deformed coherent states such as photon distribution, super-/sub-Poissonian structure and bunching or anti-bunching effect.

Keywords: coherent states; deformed coherent; using tsallis; tsallis deformed; thermodynamics; deformed exponential

Journal Title: International Journal of Theoretical Physics
Year Published: 2021

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