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1 -=== Neutrinos as Open Quantum Systems ===
2 -==== Titor: [[Gonzalo>>https://igfae.usc.es/igfae/persoa/alonso-alvarez-gonzalo/692/||target="_blank"]] Alonso Álvarez ====
3 -==== Supervisor: [[Gonzalo>>https://igfae.usc.es/igfae/persoa/alonso-alvarez-gonzalo/692/||target="_blank"]] Alonso Álvarez
1 +=== Complejidad de Krylov en sistemas cuánticos: dinámica de la información, entrelazamiento y decoherencia ===
2 +==== Titor: [[Alfonso>>https://igfae.usc.es/igfae/persoa/vazquez-ramallo-alfonso/163/||target="_blank"]] Vázquez Ramallo ====
3 +==== Supervisor: [[Alfonso>>https://igfae.usc.es/igfae/persoa/vazquez-ramallo-alfonso/163/||target="_blank"]] Vázquez Ramallo
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6 -Neutrino oscillations provide a natural setting in which to explore how quantum coherence evolves in realistic physical environments. The coherent evolution of neutrino states can persist over macroscopic distances, from terrestrial experiments to astrophysical baselines, making neutrinos an exceptional probe of decoherence and environmental effects.
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8 -In the standard description, neutrinos are treated as isolated quantum systems whose flavour evolution is governed by the Schrödinger equation. In many realistic situations, however, particles propagate through complex environments that can induce decoherence and dissipation, requiring a more general framework based on the theory of open quantum systems.
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10 -In this project, the student will learn the density-matrix formalism and apply it to neutrino oscillations. Starting from the standard two-flavour framework, the student will study how environmental effects modify flavour evolution and oscillation probabilities. Applications will be discussed in particle physics and astrophysical settings, such as neutrino propagation in matter and in dense or early-Universe environments.
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12 -The project combines analytical calculations with simple numerical simulations and provides an introduction to modern techniques in quantum theory and their use in fundamental physics. Depending on progress and interest, the methods developed may also be applied to other oscillation phenomena, such as photon–dark-photon or photon–axion mixing, relevant to searches for physics beyond the Standard Model.
6 +El estudio de la diseminación de la información contenida en un sistema a medida que transcurre el tiempo es de gran relevancia para entender la dinámica de los sistemas cuánticos. En general, con el paso del tiempo los estados cuánticos se hacen más complejos. La medida de esta complejidad es uno de los campos más activos del estudio de la teoría cuántica de la información, con implicaciones que van desde los sistemas de muchos cuerpos hasta la gravedad cuántica y los agujeros negros. En esta estancia se estudiara la llamada complejidad de Krylov para sistemas cuánticos sencillos y su relación con otras propiedades de la física cuántica, tales como el entrelazamiento y la decoherencia.