arXiv subjects

Paul Lageyre

Publications and source records attributed to Paul Lageyre.

2 recordsLinked to original sources

arXiv2025

Bounding the rotating wave approximation for coupled harmonic oscillators

In this work we study the validity of the rotating wave approximation of an ideal system composed of two harmonic oscillators evolving with a quadratic Hamiltonian and arbitrarily strong interaction. We prove its validity for arbitrary states by bounding the error introduced. We then restrict ourselves to the dynamics of Gaussian states and are able to fully quantify the deviation of arbitrary pure Gaussian states that evolve through different dynamics from a common quantum state. We show that this distance is fully determined by the first and second moments of the statistical distribution of the number of excitations created from the vacuum during an appropriate effective time-evolution. We use these results to completely control the dynamics for this class of states, therefore providing a toolbox to be used in quantum optics and quantum information. Applications and potential physical implementations are also discussed.

quant-ph↗

arXiv2022

Gravitational influence of high power laser pulses

The study of the generation of metric perturbation in the laboratory presents an opportunity to observe and understand more easily the mechanisms at work in gravitation. The present study will focus on the metric perturbation generated by a light pulse, as it could be generated by a current ultra-high power laser. Although of very small magnitude, the potential thus generated has advantages over that generated by mass acceleration, such as the absence of noise due to non uniform acceleration or the ability to scale up the experiment. It is indeed easier to scale up an electromagnetic oscillation compared to a mechanical oscillator, which must either be made with a large accelerated mass or a lot of small masses, all in sync, which acceleration must furthermore be quadripolar. Generation of metric deformation by laser could therefore prove useful in the long-term establishment of a laboratory experiment for the generation and detection of gravitational waves.

gr-qc↗