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

## TL;DR

This paper analyzes the photon number distribution in multimode thermal states after multiphoton subtraction, revealing how mode selection and photon subtraction influence quantum correlations, supported by analytical and experimental results.

## Contribution

It provides an analytical description of the photon number distribution in multimode thermal states after multiphoton subtraction, including experimental validation.

## Key findings

- Photon subtraction alters photon number statistics.
- Mode selection significantly impacts correlation properties.
- Analytical formulas match experimental data.

## Abstract

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