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Main Author: Brady, Anthony J.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.24344
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author Brady, Anthony J.
author_facet Brady, Anthony J.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24344
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Benasque Lectures on Gaussian Bosonic Systems and Analogue Gravity
Brady, Anthony J.
General Relativity and Quantum Cosmology
Quantum Physics
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.
title Benasque Lectures on Gaussian Bosonic Systems and Analogue Gravity
topic General Relativity and Quantum Cosmology
Quantum Physics
url https://arxiv.org/abs/2512.24344