Identifying Quantum Many-Body Integrability and Chaos Using Eigenstate Trace Distances

Khasseh, Reyhaneh; Zhang, Jiaju; Heyl, Markus; Rajabpour, M. A.

doi:10.1103/physrevlett.131.216701

Phys. Rev. Lett.

2023

DOI: 10.1103/physrevlett.131.216701

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Identifying Quantum Many-Body Integrability and Chaos Using Eigenstate Trace Distances

Reyhaneh Khasseh,

Jiaju Zhang,

Markus Heyl

et al.

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2024

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Complexity measure diagnostics of ergodic to many-body localization transition

Cohen,

Oz,

Zhong

2024

Phys. Rev. B

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We introduce diagnostics of the transition between the ergodic and many-body localization phases, which are based on complexity measures defined via the probability distribution function of the Lanczos coefficients of the tridiagonalized Hamiltonian. We use these complexity measures to analyze the power-law random banded matrix model as a function of the correlation strength and show that the moments and the entropy of the distribution diagnose the ergodic to many-body transition, as well as the distinctive feature of the phases concerning the memory of the initial conditions. Published by the American Physical Society 2024

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Complexity measure diagnostics of ergodic to many-body localization transition

Cohen,

Oz,

Zhong

2024

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

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Identifying Quantum Many-Body Integrability and Chaos Using Eigenstate Trace Distances

Cited by 1 publication

References 42 publications

Complexity measure diagnostics of ergodic to many-body localization transition

Complexity measure diagnostics of ergodic to many-body localization transition

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