Generation of Squeezed Fock States by Particle-Number Measurements on Multimode Gaussian States

TL;DR

This paper presents a universal method for generating squeezed Fock states through particle-number measurements on multimode Gaussian states, highlighting its robustness and higher success probability compared to nonuniversal schemes.

Contribution

The authors introduce a universal scheme for SFS generation that depends only on total detected particles, independent of their distribution, and analyze its efficiency and robustness.

Findings

Universal scheme achieves higher SFS generation probability.

Generation depends only on total particle count, not distribution.

The scheme is robust against detector imperfections.

Abstract

We investigate the generation of squeezed Fock states (SFSs) via particle-number measurements in the modes of multimode Gaussian states. We identify a universal class of $N$-mode Gaussian states for which measuring $N-1$ modes results in the generation of SFSs. The key feature of these states is that the generated SFSs depend only on the total number of detected particles and are independent of their distribution among the detectors. Based on the general form of the wave functions of multimode Gaussian states, we propose a universal scheme for SFS generation. For this scheme, we evaluate the probability of SFS generation and analyze the robustness of the process against imperfections in particle-number-resolving detectors. In addition, we compare the universal scheme with a nonuniversal scheme, in which the generation of SFSs depends on a specific distribution of particle numbers across the detectors. We demonstrate that the universal scheme provides a higher probability of SFS generation, at the cost of increased experimental resources.