Téléchargez le livre : Quantum Speed Limits to Operator Growth

Quantum Speed Limits to Operator Growth

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Éditeur :

Springer


Collection :

Springer Theses

Paru le : 2025-01-31

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Description

This book introduces universal bounds to quantum unitary dynamics, with applications ranging from condensed matter models to quantum metrology and computation. Motivated by the observation that the dynamics of many-body systems can be better unraveled in the Heisenberg picture, we focus on the unitary evolution of quantum observables, a process known as operator growth and quantified by the Krylov complexity. By means of a generalized uncertainty relation, we constrain the complexity growth through a universal speed limit named the dispersion bound, investigating also its relation with quantum chaos. Furthermore, the book extends the framework of quantum speed limits (QSLs) to operator flows, identifying new fundamental timescales of physical processes. Crucially, the dynamics of operator complexity attains the QSL whenever the dispersion bound is saturated. Our results provide computable constraints on the linear response of many-body systems out of equilibrium and the quantum Fisher information governing the precision of quantum measurements.
Pages
137 pages
Collection
Springer Theses
Parution
2025-01-31
Marque
Springer
EAN papier
9783031741784
EAN PDF
9783031741791
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
13
Taille du fichier
2478 Ko
Prix
168,79 €
EAN EPUB
9783031741791
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
13
Taille du fichier
7025 Ko
Prix
168,79 €

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