Photon creation and annihilation are two basic operators in quantum optics. Their experimental implementation provides a perfect toolbox for quantum state engineering. The simplest quantum states, which can be modified both by photon creation and annihilation are thermal states of light. Therefore, the multiphoton subtracted thermal states (MPSTS) draw attention of quantum optics experimentalists last decade. Despite its simplicity they serve as a good testing area for study of a number of quantum phenomena. In the current work we give a review of the recent works related to MPSTS: their theoretical description, preparation and measurement technique and their utilization as a testing area for studying some quantum phenomena like non-Gaussianity, Photonic Maxwell‟s Demon, Quantum Vampire and so on.
This work is devoted to the theoretical and experimental study of quantum states of light conditionally prepared by subtraction of a random number of photons from the initial multimode thermal state. A fixed number of photons is subtracted from a multimode quantum state, but only a subsystem of a lower number of modes is registered, in which the number of subtracted photons turns out to be a non-fixed random variable. It is shown that the investigation of multiphoton subtracted multimode thermal states provides a direct study of the fundamental quantum-statistical properties of bosons using a simple experimental implementation. The developed experimental setup plays a role of a specific boson lototron, which is based on the fundamental link between the statistics of boson systems and the Polya distribution. It is shown that the calculation of the photon number distribution based on the Polya‟s urn scheme is equivalent to a calculation using statistical weights for boson systems. A mathematical model based on the composition of the Polya distribution and thermal state is developed and verified. The experimental results are in a good agreement with the developed theory.
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