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FRI: Friday Contributed Sessions
FRI 3: Quantum Chaos
FRI 3.4: Talk
Friday, September 12, 2025, 11:30–11:45, ZHG003
Non-Markovianity in Chaotic Subsystem Evolution — •Zhuo-Yu Xian1, Shao-Kai Jian2, and Greg White3,4,5 — 1Department of Physics, Freie Universität Berlin, Arnimallee 14, DE-14195 Berlin, Germany — 2Department of Physics and Engineering Physics, Tulane University, New Orleans, Louisiana, 70118, USA — 3Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany — 4School of Physics and Astronomy, Monash University, Clayton, VIC 3800, Australia — 5School of Physics, University of Melbourne, Parkville, VIC 3010, Australia
The process tensor captures how an environment influences a system across multiple time intervals, and its multi-time mutual information furnishes a measure of non-Markovianity. We examine the non-Markovianity of a subsystem's dynamics embedded in various unitary evolutions of the global system, described by random matrices, various Sachdev-Ye-Kitaev models, and holographic conformal field theories. This non-Markovianity arises from two distinct mechanisms: (i) interaction-induced temporal correlations, which appear already at early times, and (ii) entanglement phase transition, which appears at the Page time of a finite environment. We further show that the process-tensor mutual information coincides with the timeline pseudo-entropy when the subsystem is depolarized and establishes its holographic correspondence in the dual black hole spacetime. Our results on non-Markovianity connect the fields of quantum chaos, many-body dynamics, and the black hole information problem.
Keywords: Non-Markovianity; chaos; random matrix; Sachdev-Ye-Kitaev; holography