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20242026
most citedSpread and Spectral Complexity in Quantum Spin Chains: from Integrability to Chaos

41 citations · 52 across the 6 of their papers we have counts for

collaborators

7 papers

hep-th2026

Genuine Multi-Entropy of Fully Symmetric Gaussian States

Hugo A. Camargo, Mitsuhiro Nishida

We study the tri-partite genuine Rényi multi-entropy of fully symmetric Gaussian states as a function of the squeezing parameter for different total number of bosonic modes under d…

hep-th2026

Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas

Hugo A. Camargo, Yichao Fu, Keun-Young Kim +1

We propose and test logarithmic Krylov (logK) complexity, an operator growth measure akin to Krylov complexity defined through a replica approach, as a viable probe of early-time o…

hep-th2025★ 4 cited

Free Probability approach to spectral and operator statistics in Rosenzweig-Porter random matrix ensembles

Viktor Jahnke, Pratik Nandy, Kuntal Pal +2

Utilizing the framework of free probability, we analyze the spectral and operator statistics of the Rosenzweig-Porter random matrix ensembles, which exhibit a rich phase structure…

hep-th2025★ 6 cited

Krylov operator complexity in holographic CFTs: Smeared boundary reconstruction and the dual proper radial momentum

Sergio E. Aguilar-Gutierrez, Hugo A. Camargo, Viktor Jahnke +2

Motivated by bulk reconstruction of smeared boundary operators, we study the Krylov complexity of local and non-local primary CFT operators from the local bulk-to-bulk propagat…

hep-th2025★ 1 cited

Quantum Signatures of Chaos from Free Probability

Hugo A. Camargo, Yichao Fu, Viktor Jahnke +2

A classical dynamical system can be viewed as a probability space equipped with a measure-preserving time evolution map, admitting a purely algebraic formulation in terms of the al…

hep-th2024

Higher-Order Krylov State Complexity in Random Matrix Quenches

Hugo A. Camargo, Yichao Fu, Viktor Jahnke +2

In quantum many-body systems, time-evolved states typically remain confined to a smaller region of the Hilbert space known as the . The time evolution can…

hep-th2024★ 41 cited

Spread and Spectral Complexity in Quantum Spin Chains: from Integrability to Chaos

Hugo A. Camargo, Kyoung-Bum Huh, Viktor Jahnke +3

We explore spread and spectral complexity in quantum systems that exhibit a transition from integrability to chaos, namely the mixed-field Ising model and the next-to-nearest-neigh…