Generation of squeezed Schr\"{o}dinger cats in a tunable cavity filled with a Kerr medium

TL;DR

This paper demonstrates how to generate and tune squeezed Schrödinger cat states in a nonlinear optical cavity with a variable frequency, using exact solutions of a time-dependent anharmonic oscillator Hamiltonian.

Contribution

It introduces a method to produce and control squeezed cat states in a Kerr medium cavity with tunable frequency, advancing quantum state engineering techniques.

Findings

Squeezed coherent superpositions can be generated in a Kerr cavity.

The degree of squeezing can be controlled by adjusting the cavity frequency.

Exact solutions of the time-dependent Hamiltonian enable precise state manipulation.

Abstract

In this work we analyze the temporal dynamics of a system comprising an optical cavity filled with a nonlinear Kerr medium, whose frequency is allowed to change during time evolution. By exactly solving the corresponding time-dependent anharmonic-oscillator Hamiltonian, we demonstrate that squeezed coherent-state superpositions can be generated within the optical cavity. Moreover, we show that the squeezing degree of the produced states may be tuned by properly controlling the frequency shift of the cavity, a feature that might lead to interesting studies in the field of quantum state engineering.