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   Articles with "krylov complexity" as a keyword



Inflationary Krylov complexity

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recommendations! Published in 2024 at "Journal of High Energy Physics"

DOI: 10.1007/jhep04(2024)123

Abstract: In this work, we have systematically investigated the Krylov complexity of curvature perturbation for the modified dispersion relation in inflation, using the algorithm in closed system and open system. Since many quantum gravitational frameworks could… read more here.

Keywords: complexity; krylov complexity; closed system; dispersion relation ... See more keywords

Probing Krylov complexity in scalar field theory with general temperatures

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recommendations! Published in 2024 at "Journal of High Energy Physics"

DOI: 10.1007/jhep11(2024)014

Abstract: Krylov complexity characterizes the operator growth in the quantum many-body systems or quantum field theories. The existing literatures have studied the Krylov complexity in the low temperature limit in the quantum field theories. In this… read more here.

Keywords: temperature; scalar field; general temperatures; complexity ... See more keywords

Krylov complexity and chaos in deformed Sachdev-Ye-Kitaev models

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recommendations! Published in 2025 at "Physical Review B"

DOI: 10.1103/physrevb.111.035141

Abstract: Krylov complexity has recently been proposed as a quantum probe of chaos. The Krylov exponent characterizing the exponential growth of Krylov complexity is conjectured to upper-bound the Lyapunov exponent. We compute the Krylov and the… read more here.

Keywords: sachdev kitaev; lyapunov exponent; krylov complexity; krylov exponent ... See more keywords

Assessing the saturation of Krylov complexity as a measure of chaos.

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recommendations! Published in 2022 at "Physical review. E"

DOI: 10.1103/physreve.107.024217

Abstract: Krylov complexity is a novel approach to study how an operator spreads over a specific basis. Recently, it has been stated that this quantity has a long-time saturation that depends on the amount of chaos… read more here.

Keywords: saturation; chaos; saturation krylov; krylov complexity ... See more keywords