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Spectral and Krylov complexity in billiard systems

Hugo A. Camargo^1,*, Viktor Jahnke ^1,†, Hyun-Sik Jeong ^2,3,‡, Keun-Young Kim ^1,4,§, and Mitsuhiro Nishida^5,∥

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

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Articles Citing

Spectral and Krylov complexity in billiard systems

Speed limits and scrambling in Krylov space

Probing quantum chaos through singular-value correlations in the sparse non-Hermitian Sachdev-Ye-Kitaev model

Krylov fractality and complexity in generic random matrix ensembles

Chaos and integrability in triangular billiards

Average spread complexity and the higher-order level spacing

Krylov complexity in the Schrödinger field theory

Brickwall one-loop determinant: spectral statistics & Krylov complexity

Higher-order Krylov state complexity in random matrix quenches

Building the holographic dictionary of the DSSYK from chords, complexity & wormholes with matter

Non-perturbative overlaps in JT gravity: from spectral form factor to generating functions of complexity

Exactly solvable models for universal operator growth

Fuzzy spheres in stringy matrix models: quantifying chaos in a mixed phase space

Krylov complexity in 2d CFTs with SL(2, ℝ) deformed Hamiltonians

Spread Complexity of High Energy Neutrino Propagation over Astrophysical Distances

Thermalization in Krylov basis

Krylov complexity as a probe for chaos

Holographic complexity and phase transition for AdS black holes

Krylov complexity of modular Hamiltonian evolution

Krylov delocalization/localization across ergodicity breaking

Complexity measure diagnostics of ergodic to many-body localization transition

Quantum reservoir complexity by the Krylov evolution approach

Krylov spread complexity of quantum walks

Towards complexity in de Sitter space from the doubled-scaled Sachdev-Ye-Kitaev model

Inflationary Krylov complexity

Spread complexity in saddle-dominated scrambling

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