M Times Photon Subtraction-Addition Coherent Superposition Operated Odd-Schrődinger-cat State: Nonclassicality and Decoherence

Abstract

We introduce a new non-Gaussian state, generated by m times coherent superposition operation $a\cos \theta +a^{†}{e}^{i\phi }\sin \theta$ (MCSO) on odd-Schrodinger-cat state (OSCS). Its normalized constant is turned out to be related with the Hermite polynomial. We further investigate the nonclassical properties of the MCSO-OSCS through Mandel's Q-parameter, quadrature squeezing, the photocount distribution and Wigner function (WF). It is shown that the nonclassicality of the MCSO-OSCS is influenced by the number of times (m) of coherent superpositon operation, the angle $\theta$ and the amplitude of the coherent state (|${\alpha }_0$|). Especially the volume of negative region of WF increases with the increment of parameters m, $\theta$ and ${\alpha }_0$. We also investigate the decoherence of the MCSO-OSCS in terms of the fadeaway of the negativity of WF in a thermal environment.

arXiv comment14 pages with 10 figures

References in corpus (20)

• Quantum computation with optical coherent states
• Quantum metrology with entangled coherent states
• Non-gaussian statistics from individual pulses of squeezed light
• A computable measure of nonclassicality for light
• Quantum information processing for a coherent superposition state via a mixed entangled coherent channel
• Non-Gaussian entanglement distillation for continuous variables
• Generation of Optical Coherent State Superpositions by Number-Resolved Photon Subtraction from Squeezed Vacuum
• Generation of large-amplitude coherent-state superposition via ancilla-assisted photon-subtraction
• Proposed Test of Quantum Nonlocality for Continuous Variables
• Recent developments in photon-level operations on travelling light fields
• Weak force detection with superposed coherent states
• Quantum state engineering by a coherent superposition of photon subtraction and addition
• Maximal Violation of Bell Inequalities using Continuous Variables Measurements
• Quantum nonlocality test for continuous-variable states with dichotomic observables
• Nonclassicality of a photon-subtracted Gaussian field
• Photon-subtracted squeezed thermal state: nonclassicality and decoherence
• Generating "squeezed" superpositions of coherent states using photon addition and subtraction
• Dynamics of Nonlocality for A Two-Mode Squeezed State in Thermal Environment
• Demonstrating higher-order nonclassical effects by photon-added classical states: Realistic schemes
• Generating a Schrödinger-cat-like state via a coherent superposition of photonic operations