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Hilbert space geometry and quantum chaos

Rustem Sharipov1,*, Anastasiia Tiutiakina2, Alexander Gorsky3, Vladimir Gritsev4, and Anatoli Polkovnikov5

  • 1Physics Department, Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia
  • 2Laboratoire de Physique Theorique et Modelisation, CNRS UMR 8089, CY Cergy Paris Universite, 95302 Cergy-Pontoise Cedex, France
  • 3Laboratory of Complex Networks, Center for Neurophysics and Neuromorphic Technologies, Moscow, Russia
  • 4Institute for Theoretical Physics, University of Amsterdam, Science Park 904, Postbus 94485, 1090 GL Amsterdam, The Netherlands
  • 5Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USA

  • *Contact author: rustem.sharipov@fmf.uni-lj.si

No title available

Mejbah Ahammad, Md. Ashraful Babu, M. Mostafizur Rahman, Md. Fayz-Al Asad, and Tashin Islam

Ergodic behaviors in reversible 3-state cellular automata

Rustem Sharipov, Matija Koterle, Sašo Grozdanov, and Tomaž Prosen

SciPost Phys. 20 145 (2026)

Probing eigenstate thermalization in the weakly interacting Holstein polaron model

K. Prashant, A. Adhikari, and C. Sudheesh

Phys. Rev. E 114 014118 (2026)

Geometry of quantum states in random matrix ensembles and the chaos-integrability transition

Ankit Gill, Keun-Young Kim, Kunal Pal, and Kuntal Pal

Phys. Rev. D 114 066021 (2026)

Exactly solvable Russian-doll model: Renormalization-group cycles meet fractality

Ilya Liubimov and Alexander Gorsky

Phys. Rev. B 114 L140202 (2026)

θ-term in Russian Doll Model: phase structure, quantum metric and BPS fractality

Alexander Gorsky and Ilya Liubimov

J. High Energ. Phys. 2026 2 (2026)

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