Quantum Chaos in Random Ising Networks
- URL: http://arxiv.org/abs/2405.14376v1
- Date: Thu, 23 May 2024 09:50:59 GMT
- Title: Quantum Chaos in Random Ising Networks
- Authors: András Grabarits, Kasturi Ranjan Swain, Mahsa Seyed Heydari, Pranav Chandarana, Fernando J. Gómez-Ruiz, Adolfo del Campo,
- Abstract summary: Investigation of universal quantum chaotic signatures in the transverse field Ising model on an ErdHos-R'enyi network.
Level spacing statistics and the spectral form factor signal this breakdown for sparsely and densely connected networks.
- Score: 36.136619420474766
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We report a systematic investigation of universal quantum chaotic signatures in the transverse field Ising model on an Erd\H{o}s-R\'enyi network. This is achieved by studying local spectral measures such as the level spacing and the level velocity statistics. A spectral form factor analysis is also performed as a global measure, probing energy level correlations at arbitrary spectral distances. Our findings show that these measures capture the breakdown of chaotic behavior upon varying the connectivity and strength of the transverse field in various regimes. We demonstrate that the level spacing statistics and the spectral form factor signal this breakdown for sparsely and densely connected networks. The velocity statistics capture the surviving chaotic signatures in the sparse limit. However, these integrable-like regimes extend over a vanishingly small segment in the full range of connectivity.
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