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Dynamical typicality of isolated many-body quantum systems
1Fakultät für Physik, Universität Bielefeld, 33615 Bielefeld, Germany.
Physical Review. E
|July 18, 2018
Summary
Dynamical typicality explains how quantum states with similar initial properties maintain similar evolutions over time. This study unifies findings for high-dimensional systems, detailing conditions for this quantum behavior.
Area of Science:
- Quantum Mechanics
- Statistical Physics
Background:
- Dynamical typicality describes the stability of expectation values for observables under time evolution.
- Previous research has explored this phenomenon in various quantum systems.
Purpose of the Study:
- To unify and generalize existing findings on dynamical typicality.
- To identify necessary and sufficient conditions for dynamical typicality in high-dimensional quantum systems.
Main Methods:
- Analysis of quantum mechanical model systems.
- Investigation of time evolution governed by the Schrödinger equation.
Main Results:
- A unified framework for dynamical typicality in high-dimensional systems is presented.
- Conditions related to the initial expectation value and the observable's spectrum are established.
Conclusions:
- The study provides a generalized understanding of dynamical typicality.
- Precise conditions are identified for the onset of this quantum property.
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