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Physical Review D

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Spectral and Krylov complexity in billiard systems

Hugo A. Camargo1,*, Viktor Jahnke1,†, Hyun-Sik Jeong2,3,‡, Keun-Young Kim1,4,§, and Mitsuhiro Nishida5,∥

  • 1Department of Physics and Photon Science, Gwangju Institute of Science and Technology, 123 Cheomdan-gwagiro, Gwangju 61005, Korea
  • 2Instituto de Física Teórica UAM/CSIC, Calle Nicolás Cabrera 13-15, 28049 Madrid, Spain
  • 3Departamento de Física Teórica, Universidad Autónoma de Madrid, Campus de Cantoblanco, 28049 Madrid, Spain
  • 4Research Center for Photon Science Technology, Gwangju Institute of Science and Technology, 123 Cheomdan-gwagiro, Gwangju 61005, Korea
  • 5Department of Physics, Pohang University of Science and Technology, Pohang 37673, Korea

  • *hugo.camargo@gist.ac.kr
  • †viktorjahnke@gist.ac.kr
  • ‡hyunsik.jeong@uam.es
  • §fortoe@gist.ac.kr
  • ∥nishida124@postech.ac.kr

Quantum complexity in gravity, quantum field theory, and quantum information science

Stefano Baiguera, Vijay Balasubramanian, Pawel Caputa, Shira Chapman, Jonas Haferkamp, Michal P. Heller, and Nicole Yunger Halpern

Physics Reports 1159 1 (2026)

Origin of Exponential Operator Growth in Hilbert Space

Vijay Ganesh Sadhasivam, Jan M. Rost, and Stuart C. Althorpe

Phys. Rev. Lett. 137 060404 (2026)

Comparative study of indicators of chaos in the closed and open Dicke model

Prasad Pawar, Arpan Bhattacharyya, and B. Prasanna Venkatesh

Phys. Rev. E 113 044205 (2026)

Unfolded Krylov complexity: Universal chaotic dynamics without false positives

Johanna Erdmenger, Kyoung-Bum Huh, Hyun-Sik Jeong, and Juan F. Pedraza

Phys. Rev. D 114 086021 (2026)

Toward a refinement of Krylov complexity: Scrambling, classical operator growth and replicas

Hugo A. Camargo, Yichao Fu, Keun-Young Kim, and Yeong Han Park

Phys. Rev. D 114 106004 (2026)

Krylov complexity and fidelity susceptibility in two-band Hamiltonians

Rishav Chaudhuri, Ayush Raj, Soham Ray, and Sai Satyam Samal

Phys. Rev. B 114 125134 (2026)

Anderson localization: A view from Krylov space

J. Clayton Peacock, Vadim Oganesyan, and Dries Sels

Phys. Rev. B 113 064204 (2026)

Krylov complexity in the Veneziano–Wosiek model

E Alfinito and M Beccaria

J. Phys. A: Math. Theor. 59 345402 (2026)

Probing the chaos to integrability transition in double-scaled SYK

Sergio E. Aguilar-Gutierrez, Rathindra Nath Das, Johanna Erdmenger, and Zhuo-Yu Xian

J. High Energ. Phys. 2026 109 (2026)

Variations on a theme of Krylov

Vijay Balasubramanian, Pawel Caputa, and Joan Simón

J. High Energ. Phys. 2026 172 (2026)

Krylov complexity and Wightman power spectrum with positive chemical potential in Schrödinger field theory

Peng-Zhang He, Lei-Hua Liu, Hai-Qing Zhang, and Qing-Quan Jiang

J. High Energ. Phys. 2026 259 (2026)

Symmetry-resolved Krylov complexity and the uncoloured tensor model

Shaliya Kotta and P. N. Bala Subramanian

J. High Energ. Phys. 2026 42 (2026)

Krylov exponents and power spectra for maximal quantum chaos: an EFT approach

Saskia Demulder, Maria Knysh, and Andrew Rolph

J. High Energ. Phys. 2026 59 (2026)

Emergence of Krylov complexity through quantum walks: an exploration of the quantum origins of complexity

Dimitrios Patramanis and Watse Sybesma

J. High Energ. Phys. 2026 85 (2026)

Krylov complexity of thermal state in early universe

Tao Li and Lei-Hua Liu

Eur. Phys. J. C 86 265 (2026)

Quantum–classical analogy in structured light

Yuan Qin, Zhaoyang Wang, Qiang Liu, and Xing Fu

Applied Physics Reviews 13 021326 (2026)

Quantum dynamics in Krylov space: Methods and applications

Pratik Nandy, Apollonas S. Matsoukas-Roubeas, Pablo Martínez-Azcona, Anatoly Dymarsky, and Adolfo del Campo

Physics Reports 1125-1128 1 (2025)

Krylov complexity as an order parameter for quantum chaotic-integrable transitions

Matteo Baggioli, Kyoung-Bum Huh, Hyun-Sik Jeong, Keun-Young Kim, and Juan F. Pedraza

Phys. Rev. Research 7 023028 (2025)

Scaling relations of spectral form factor and Krylov complexity at finite temperature

Chengming Tan, Zhiyang Wei, and Ren Zhang

Phys. Rev. E 111 014135 (2025)

Quantum chaos, integrability, and late times in the Krylov basis

Vijay Balasubramanian, Javier M. Magan, and Qingyue Wu

Phys. Rev. E 111 014218 (2025)

Sparsity dependence of Krylov state complexity in the SYK model

Raghav G. Jha and Ranadeep Roy

Phys. Rev. D 112 046017 (2025)

Properties of Krylov state complexity in qubit dynamics

Siddharth Seetharaman, Chetanya Singh, and Rejish Nath

Phys. Rev. D 111 076014 (2025)

Krylov complexity in mixed phase space

Kyoung-Bum Huh, Hyun-Sik Jeong, Leopoldo A. Pando Zayas, and Juan F. Pedraza

Phys. Rev. D 111 L121902 (2025)

Phase transitions in a non-Hermitian Su-Schrieffer-Heeger model via Krylov spread complexity

E. Medina-Guerra, I. V. Gornyi, and Yuval Gefen

Phys. Rev. B 112 035427 (2025)

Correlations and Krylov spread for a non-Hermitian Hamiltonian: Ising chain with a complex-valued transverse magnetic field

E. Medina-Guerra, I. V. Gornyi, and Yuval Gefen

Phys. Rev. B 111 174207 (2025)

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