Synthesis of Hermite polynomial excited squeezed vacuum states from two separate single-mode squeezed vacuum states

• Published in: Optics communications Vol. 356; pp. 223 - 229
• Main Authors: Zhang, Hao-liang, Yuan, Hong-chun, Hu, Li-yun, Xu, Xue-xiang
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2015
• Subjects: Beam splitter; Conditional measurement; Hermite polynomial; Nonclassicality; Optical synthesis; Wigner function; Hermite polynomial; Wigner function; Beam splitter; Conditional measurement; Optical synthesis; Nonclassicality
• ISSN: 0030-4018; 1873-0310
• DOI: 10.1016/j.optcom.2015.07.083

A projection synthesis scheme for generating Hermite polynomial excited squeezed vacuum states (HPESVSs, non-Gaussian quantum states) is proposed. Injecting two separate single-mode squeezed vacuum states into a beam splitter and counting the photons in one of the output channels (conditional measurement or post-detection), the conditional state in the other channel is just the HPESVS. The success probability, related to a Legendre polynomial form, is obtained analytically and analyzed numerically in detail. To exhibit the nonclassical effects of this conditional state, we also present the photon-number distribution, sub-Poissionian distribution, anti-bunching effect, quadrature squeezing effect, and Wigner function, respectively. The results show that by tuning the interaction parameters, a wide range of nonclassical phenomena can be created. •A polynomial state is synthesized from two separate states by hybrid approach and conditional measurement.•The expression of the success probability has the form of Legendre polynomial.•Some nonclassical properties have exhibited by tuning the interaction parameters of the proposed scheme.