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Two Mode Photon Added Schrödinger Cat States: Nonclassicality and Entanglement

2022/01/30 by S. Nibedita Swain, S Nibedita Swain, Yashovardhan Jha +4
Computer Science · Engineering · Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Photonic and Optical Devices #Quantum Information and Cryptography #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.2202.00518

11 pages, 9 figures

openalex publication_date 2022/01/30 · openalex created_date 2022/04/03 · arxiv created 2022/05/22 · arxiv updated 2022/05/24 · openalex updated_date 2026/07/28

Abstract

The concept of photon added two-mode Schrödinger cat states in which both modes are independent is introduced, their non-classical properties and entanglement are studied. The introduced states emerge as the eigenstates of f1f2a1a2, where f1, f2 are nonlinear functions of the number operator and a1, a2 are annihilation operators. We study the evolution of these states under the canonical transformation using the parity operator for the case of standard coherent states of the harmonic oscillator. The non-classical properties of these states are evaluated especially by considering sub-Poissonian photon statistics and photon number distribution. Interestingly, the addition of photons leads to shifting the region in which photon number distribution shows oscillatory behavior. In addition, the entanglement of introduced states has been quantitatively analyzed using concurrence. We observe that the state approaches the maximum entanglement more rapidly after the addition of photons.

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