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Quantum chaos and the complexity of spread of states
Vijay Balasubramanian (Vrije Universiteit Brussel, University of Pennsylvania), Paweł Caputa (University of Warsaw), Javier M. Magán (Vrije Universiteit Brussel, University of Pennsylvania), Qingyue Wu (University of Pennsylvania)
Résumé : Complexity plays an important role in the study of black holes in quantum gravity, and of interacting many-body systems in condensed matter physics. The authors propose a definition of quantum state complexity, which agrees with earlier definitions under certain conditions. They compute the complexity in various models and show physically reasonable behaviors which can be connected with quantum chaos.