Thermalization, Ergodicity and Quantum Fisher Information
Cesar Gomez
TL;DR
This paper explores the connections between eigenstate thermalization, quantum ergodicity, and quantum Fisher information, establishing bounds that relate these concepts and discussing their implications for complexity and operator growth.
Contribution
It introduces a novel framework linking quantum Fisher information bounds to ETH and ergodicity conditions, providing new insights into quantum thermalization.
Findings
Quantum Fisher information bounds imply ETH and ergodicity conditions.
The framework relates complexity and operator growth to quantum Fisher information.
Provides a new perspective on quantum thermalization mechanisms.
Abstract
The eigenstate thermalization hypothesis as well as the quantum ergodic theorem are studied in the light of quantum Fisher information. We show how global bounds on quantum Fisher information set the ETH and ergodicity conditions. Complexity and operator growth are briefly discussed in this frame.
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Taxonomy
TopicsQuantum many-body systems · Quantum Information and Cryptography · Quantum Computing Algorithms and Architecture