Time evolution of Wigner function in laser process derived by entangled state representation

TL;DR

This paper introduces a novel method using entangled state representation to derive the time evolution of the Wigner function in laser processes, with applications to photon number dynamics starting from photon-added coherent states.

Contribution

It presents a new approach for calculating the Wigner function's time evolution in laser processes using entangled state representation, including practical application examples.

Findings

Derived a new formula for Wigner function evolution in laser processes

Applied the formula to photon-added coherent states

Analyzed photon number evolution in the laser process

Abstract

Evaluating the Wigner function of quantum states in the entangled state representation is introduced, based on which we present a new approach for deriving time evolution formula of Wigner function in laser process. Application of this fomula to calculating time evolution of photon number is also presented, as an example, the case when the initial state is photon-added coherent state is discussed.