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arXiv · 2512.24344

Benasque Lectures on Gaussian Bosonic Systems and Analogue Gravity

Anthony J. Brady
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Abstract

These notes are adapted from six lectures that I delivered at Analogue Gravity in Benasque 2023. They present the unified Gaussian (phase-space) framework to describe linear bosonic quantum systems, the standard tool in quantum optics and continuous-variable quantum information, emphasizing its simplicity and platform independence, with applications to semi-classical black holes and analogue gravity. Parts (I-III) develop the formalism: from harmonic dynamics and Gaussian transformations to state characterization via moments, Wigner functions, and entanglement measures. Part (IV) applies these tools to semi-classical black holes, discussing Hawking radiation and quantum superradiance in rotating black holes, and laboratory analogues in light-matter systems via toy models.

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Anthony J. Brady. 2025-12-30. Benasque Lectures on Gaussian Bosonic Systems and Analogue Gravity. https://arxiv.org/abs/2512.24344

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