Parametric Amplification of a Quantum Pulse

Fuente: arXiv
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Bibliographic Details
Main Authors: Tziperman, Offek, Christiansen, Victor Rueskov, Kaminer, Ido, Mølmer, Klaus
Format: Preprint
Published: 2023
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author Tziperman, Offek
Christiansen, Victor Rueskov
Kaminer, Ido
Mølmer, Klaus
author_facet Tziperman, Offek
Christiansen, Victor Rueskov
Kaminer, Ido
Mølmer, Klaus
contents Creating and manipulating quantum states of light requires nonlinear interactions, but while nonlinear optics is inherently multi-mode, quantum optical analyses are often done with single-mode approximations. We present a multi-mode theory for the transformation of a quantum pulse by Hamiltonians that are quadratic in the field creation and annihilation operators. Our theory describes nonlinear processes, such as parametric amplification and squeezing, as well as all linear processes, such as dispersion and beam splitting. We show that a single input pulse feeds only two distinct output modes and, for certain quantum states, just one. Our theory provides the quantum states in the output modes, which are crucial for the application of pulses in quantum optics and quantum information.
format Preprint
id arxiv_https___arxiv_org_abs_2312_04394
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Parametric Amplification of a Quantum Pulse
Tziperman, Offek
Christiansen, Victor Rueskov
Kaminer, Ido
Mølmer, Klaus
Quantum Physics
Creating and manipulating quantum states of light requires nonlinear interactions, but while nonlinear optics is inherently multi-mode, quantum optical analyses are often done with single-mode approximations. We present a multi-mode theory for the transformation of a quantum pulse by Hamiltonians that are quadratic in the field creation and annihilation operators. Our theory describes nonlinear processes, such as parametric amplification and squeezing, as well as all linear processes, such as dispersion and beam splitting. We show that a single input pulse feeds only two distinct output modes and, for certain quantum states, just one. Our theory provides the quantum states in the output modes, which are crucial for the application of pulses in quantum optics and quantum information.
title Parametric Amplification of a Quantum Pulse
topic Quantum Physics
url https://arxiv.org/abs/2312.04394