Scrambling of Quantum Information in Chaotic Quantum Systems
A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".
Deadline for manuscript submissions: closed (31 July 2022) | Viewed by 4914
Special Issue Editors
Interests: spintronics and spin-caloritronics; KAM theory and quantum chaos; quantum information theory; ultra-high-energy neutrino physics; open quantum systems; quantum measurements
Special Issues, Collections and Topics in MDPI journals
Interests: density functional theory; many-body physics; theoretical physics; computational physics
Special Issue Information
Dear Colleagues,
Nonlinear classical dynamical systems are predominantly chaotic, meaning that arbitrary small uncertainties in the initial conditions accumulate over an evolving period to the significant inaccuracy. When this happens, typically, dynamical description does not make sense and methods of statistical physics become necessary.
In contrast to the classical systems, in a quantum case, we do not have phase trajectories. Therefore, an alternative tool to test quantum chaos is in question. Larkin and Ovchinnikov introduced the concept of the out-of-time-ordered correlator (OTOC) of the operator, and since then, OTOC has been seen as a diagnostic tool of quantum chaos. Interest in the delocalization of quantum information (i.e., the scrambling of quantum entanglement) was renewed recently.
OTOC quantifies how swiftly quantum information initially encoded in terms of local operators spreads. The scrambling time is specified through the classical Lyapunov exponent. In essence, scrambling is a quantum version of the butterfly effect. During the last few years, OTOC became a hot spot in statistical physics. However, many questions still are not answered.
This Special Issue is a platform for discussion about problems related to the scrambling of quantum information in chaotic quantum systems.
Prof. Dr. Levan Chotorlishvili
Prof. Dr. Arthur Ernst
Guest Editors
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Keywords
- nonlinear resonance
- random matrix theory
- KAM theory
- entanglement
- OTOC
- scrambling
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