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20142023
most citedComplexity as a novel probe of quantum quenches: universal scalings and purifications

127 citations · 479 across the 13 of their papers we have counts for

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hep-th2023★ 54 cited

Spectral and Krylov Complexity in Billiard Systems

Hugo A. Camargo, Viktor Jahnke, Hyun-Sik Jeong +2

In this work, we investigate spectral complexity and Krylov complexity in quantum billiard systems at finite temperature. We study both circle and stadium billiards as paradigmatic…

hep-th2022★ 82 cited

Krylov Complexity in Free and Interacting Scalar Field Theories with Bounded Power Spectrum

Hugo A. Camargo, Viktor Jahnke, Keun-Young Kim +1

We study a notion of operator growth known as Krylov complexity in free and interacting massive scalar quantum field theories in -dimensions at finite temperature. We consider t…

hep-th2022★ 38 cited

Balanced Partial Entanglement and Mixed State Correlations

Hugo A. Camargo, Pratik Nandy, Qiang Wen +1

Recently in Ref.\cite{Wen:2021qgx}, one of the authors introduced the balanced partial entanglement (BPE), which has been proposed to be dual to the entanglement wedge cross-sectio…

hep-th2022★ 13 cited

Q-curvature and Path Integral Complexity

Hugo A. Camargo, Pawel Caputa, Pratik Nandy

We discuss the interpretation of path integral optimization as a uniformization problem in even dimensions. This perspective allows for a systematical construction of the higher-di…

hep-th2021★ 25 cited

Long-distance entanglement of purification and reflected entropy in conformal field theory

Hugo A. Camargo, Lucas Hackl, Michal P. Heller +2

Quantifying entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy is a new and challenging subject. In this work, w…

hep-th2020★ 39 cited

Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories

Hugo A. Camargo, Lucas Hackl, Michal P. Heller +3

Finding pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace is necessarily a challenging task. Nevertheless, such puri…

hep-th2019★ 91 cited

Path integral optimization as circuit complexity

Hugo A. Camargo, Michal P. Heller, Ro Jefferson +1

Early efforts to understand complexity in field theory have primarily employed a geometric approach based on the concept of circuit complexity in quantum information theory. In a p…

hep-th2018★ 127 cited

Complexity as a novel probe of quantum quenches: universal scalings and purifications

Hugo A. Camargo, Pawel Caputa, Diptarka Das +2

We apply the recently developed notion of complexity for field theory to a quantum quench through a critical point in 1+1 dimensions. We begin with a toy model consisting of a quan…