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Thermal states of light are widely used in quantum optics due to theircorrelation properties. As is well known, their correlation properties and thephoton number distribution as a whole are strongly dependent on the mode numberselected by the detection scheme. The same changes can be caused by photonsubtraction. Therefore, we describe the general case of the multimode thermalstate after a multiphoton subtraction, when the photon number statistics isregistered by the detector selecting a part of the initial modes. We present ananalytical form of the obtained photon number distribution and its generalproperties and check them in the experiment.

Multimode thermal states with multiphoton subtraction: study of the photons number distribution in the selected subsystem