On the statistics of nonclassical photon states

Mary Selvadoray

Amit Verma

Higher order nonclassicality in terms of squeezing and subpoissonian photon statistics is explored in Generalized Binomial State (GBS) of light. It is shown that this state satisfy the both criteria in different limits of depending parameters of state. Depth of nonclassicality and witness of nonclassicality depends on various parameters related to GBS. Mutual relation between different signatures of nonclassicality in GBS is also provided and further observed that the state may show nonclassicality for subpoissonian statistics criterion in the absence of squeezing. Earlier our group shown that some nonlinear excited states show squeezing in the absence of subpoissonian photon statistics. Finally this study claims that Photon statistics and squeezing of a particular order are independent phenomenon.

C. Bendjaballah

Tim J. Bartley, Gaia Donati, Xian‐Min Jin +3 more

Nonclassical states of light are necessary resources for quantum technologies such as cryptography, computation and the definition of metrological standards. Distinguishing nonclassical states from those that can be described without invoking quantum mechanics is both a necessary practical task and of fundamental interest. In general, signatures of nonclassicality arise from apparently pathological behaviour of the quasi-probability distributions used to describe the states. While tomographic reconstruction of the state is therefore sufficient to show nonclassicality, it is often more convenient to probe photon-counting statistics of on-off detectors directly. This is formalised by the Mandel Q-parameter QM= 〈Δn〉 / 〈n〉 - 1, which is negative for sub-Poissonian statistics arising from nonclassical states. However, the Mandel Q-parameter can fail when using a multiplexed array of on-off detectors to measure states with several photons; splitting in this manner can corrupt its original statistics. A new parameter, QB= N 〈(Δ c) 2 〉 / 〈 c 〉 (N - 〈 c 〉) can be used to witness nonclassicality directly from such click statistics. For QB<; 0, such statistics are thus deemed sub-binomial and therefore arise from a nonclassical state.

Edward L. Hill

Zhou Min-xuan

The photon-added odd pair coherent states and photon-added even pair coherent states are constructed,and their nonclassical properties are studied with numeric simulation method.The results show that the constructed states are new quantum optical fields that exhibit the nonclassical properties such as the sub-poissonian distribution characters of photon statistics and the antibunching effect.When the photons are added to the two modes of the odd(even) pair coherent states,the sub-poissonian distribution characters of photon statistics can be obviously enhanced.