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Updated: May 17, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Analytical determination of multitime correlation functions in quantum chaotic systems
Yoana R Chorbadzhiyska1, Peter A Ivanov1, Charlie Nation2
1Sofia University "St. Kliment Ohridski,", Center for Quantum Technologies, Faculty of Physics, 5 James Bourchier Boulevard, Sofia 1164, Bulgaria.
Physical Review. E
|May 16, 2026
Summary
We analytically derive multipoint correlation functions, including the out-of-time-ordered correlator (OTOC), in quantum dynamics using random matrix theory. Our findings link dynamics to coarse-grained wave functions and show implications for quantum chaos and Markovianity.
Area of Science:
- Quantum physics
- Quantum dynamics
- Statistical mechanics
Background:
- Multipoint correlation functions are crucial for analyzing quantum dynamics.
- Open quantum systems use two-point correlations to model environmental influence.
- The out-of-time-ordered correlator (OTOC) quantifies chaos in quantum systems.
Purpose of the Study:
- To analytically derive the time-dependence of multipoint observable correlation functions.
- To investigate the role of random matrix theory in understanding quantum dynamics.
- To explore the connection between correlation functions and quantum chaos.
Main Methods:
- Analytical derivation using a random matrix theoretic approach.
- Focus on the time-evolution of multipoint correlation functions, including the OTOC.
- Comparison with exact numerical simulations in a spin chain model.
Main Results:
- Derived analytical expressions for time-dependent multipoint correlation functions.
- Identified dynamical contributions related to the Fourier transform of coarse-grained wave functions.
- Validated predictions against numerical experiments for various observables.
Conclusions:
- The study provides a theoretical framework for multipoint correlations in quantum systems.
- Results offer insights into the emergence of Markovianity and quantum regression.
- Findings connect to established bounds on chaotic quantum dynamics.
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