Adding or subtracting a single photon is the same for pure squeezed vacuum states
Year: 2025
Type: article
Abstract: The addition of a single photon to a light field can lead to exactly the same outcome as the subtraction of a single photon: starting from the same initial state, both procedures can generate the same final quantum state. We prove that this identity-of-outcome is true for pure squeezed vacuum states of light, and in some sense only for those. We show that mixed states can show this identity-of-outcome for the addition or subtraction of a photon if they are generated from the incoherent sums of pure squeezed vacuum states with the same squeezing. We point out that our results give a reinterpretation to the fact that pure squeezed vacuum states, with squeezing e−z, are formally annihilated by Bogoliubov-transformed annihilation operators: âz=âcosh(z)−â†sinh(z).
Source: APL Quantum
DOI: 10.1063/5.0246230
Authors: Ole Steuernagel, Shao-Hua Hu, Ray-Kuang Lee
Institutions: Tulane University, National Tsing Hua University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: Development on the Instrumentations and Data Analyses for Advanced Gravitational Wave Detectors( III ), G5706492807, Quantum Photonic Chips and the Application of Integrated Multi-Channel Quantum Random Number Generators( II ), G6990010051, G7547012927, G8247751164, Integrated Photonic Quantum Computing Based on Non-Gaussian Continuous-Variable States with Error Code Correction( II )
OpenAlex ID: W4407410565