Randomness in Dissipative and Chaotic Quantum Dynamics

Erscheinungsjahr 2026
ISBN: 978-3-032-39610-5
Verlag: Springer

Buch, Englisch, 246 Seiten, Format (B × H): 155 mm x 235 mm

Reihe: Springer Theses

This book studies the different roles of randomness in quantum systems. Noise is one of the key limitations in current quantum platforms because of decoherence, which typically destroys quantum information and makes it effectively classical. In this book rather than as an obstacle we leverage noise to help us model, understand, and engineer new behavior in quantum systems. The book introduces quantities to characterize the action of noise in these systems, as well as develop a theory which models the effect of noise in dissipation. A second problem studied in the thesis where randomness also comes into play is in explaining the behavior of chaotic quantum systems, where randomness serves as a definition of what it means for a quantum system to be chaotic. Within the framework of quantum chaos, the book studies the behavior of long-range spectral correlations and analyzes how they manifest in building indicators of quantum chaos such as the ramp of the Spectral Form Factor. All in all the book provides a deeper look into the role played by randomness in different quantum systems, introducing tools to characterize its effect as well as uncovering new phenomena induced by the presence of noise.

Zielgruppe

Research

Autoren/Hrsg.

Martinez-Azcona, Pablo

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik
• Naturwissenschaften Physik Quantenphysik
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Akustik, Tontechnik
• Mathematik | Informatik EDV | Informatik Business Application Mathematische & Statistische Software
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker

Inhaltsverzeichnis

Introduction to Open Quantum Systems and Quantum Chaos.- Stochastic Hamiltonians beyond the noise average.- Stochastic Non Hermitian Hamiltonians.- Decomposing the spectral form factor.- Discussion.

Über Autor(innen)

Pablo was born in Monzón, Spain, in 1998. In the year before starting university, he discovered a strong fascination with physics. He completed his bachelor’s degree in physics at the University of Zaragoza in 2020, where he acquired a solid foundation in the discipline and developed a particular interest in quantum mechanics. He then pursued a master’s degree in quantum science and technology at the University of the Basque Country, where he identified the two subfields that form the core of his doctoral research: quantum chaos and open quantum systems. Pablo subsequently moved to Luxembourg to undertake his Ph.D. as a doctoral researcher in the quantum dynamics and control group. His work, which explored several aspects of these theories, was defended in September 2025 and awarded the University of Luxembourg’s Excellent Thesis Award. He is currently a postdoctoral researcher at the Walther-Meissner Institute and the Technical University of Munich.