Creation of a squeezed photon distribution using artificial atoms with broken inversion symmetry

TL;DR

This paper demonstrates how a two-level system with broken inversion symmetry can be used to generate photon-number squeezed light with a large photon number, leveraging a generalized Jaynes-Cummings model.

Contribution

It introduces a novel approach using a polaron transformation to map a complex Hamiltonian onto a generalized Jaynes-Cummings model with non-monotonous coupling, enabling photon squeezing.

Findings

Achieved photon-number squeezing with Fano factor much less than 1.

Generated large photon number states of the order of 10^4.

Exploited roots of the coupling to control photon statistics.

Abstract

We consider a two level system with both a transversal and a longitudinal coupling to the electromagnetic field of a resonator. Using a polaron transformation, this Hamiltonian can be mapped onto a Jaynes-Cummings Hamiltonian with generalized field operators acting on the electromagnetic field in the resonator. In contrast to the usual ladder operators $a$ and $a^\dagger$, these operators exhibit a non-monotous coupling strength with respect to the number $n$ of photons in the resonator. Especially, there are roots of the coupling between qubit and resonator at certain photon numbers $n_0$. We show, that this effect can be exploited to generate photon-number squeezed light, characterized by a Fano factor $F \ll 1$, with a large number of photons (e.g. of the order of $10^4$).