Nonclassicalities of hybrid coherent states

Abstract

We address the non-classicality of hybrid coherent (HC) states, i.e., states expressed as a superposition of coherent state and single-photon-added coherent (SPAC) state. In particular, we evaluate their photon statistics, squeezing, and negativity of the Wigner function. Our results indicated that the HC states could exhibit larger non-classicalities than the SPAC state. We also suggest a generation scheme for HC states, which involves Kerr nonlinearity and postselection.

Nonclassicalities of the Superposition State of Coherent and Photon-Added-Coherent State

“…The higher the nonclassicality, it will be more useful in practical applications. The 𝑄 factor of the superposition state of coherent state and SPAC state was investigated by Turek et al [17]. It is interesting to note that the HCS may have better useful applications as a nonclassical state when its PAC state part is prepared with the addition of more photons than the addition of a single photon.…”

“…The more nonclassicalities the quantum states have, the more effective it will be in practical applications. To improve the depth of nonclassicalities, scientists also prepare and study the superposition state of SPAC state and coherent state and in some cases, they achieved this [15][16][17]. But there is no such work on the HCS which is the superposition state of coherent state and PAC state |𝛼, 𝑚⟩ with 𝑚 > 1.…”

“…In this paper we have investigated the nonclassical properties of such HCS in details. Turek et al have theoretically shown that such hybrid coherent state can be prepared through the cross-Kerr interaction of coherent state with the single-photon state [17].…”