Quantum chaos in random Ising networks
We report a systematic investigation of universal quantum chaotic signatures in the transverse field Ising model on an Erdős-Rényi 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 perfor...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-02-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013146 |
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| _version_ | 1823858032045457408 |
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| author | András Grabarits Kasturi Ranjan Swain Mahsa Seyed Heydari Pranav Chandarana Fernando J. Gómez-Ruiz Adolfo del Campo |
| author_facet | András Grabarits Kasturi Ranjan Swain Mahsa Seyed Heydari Pranav Chandarana Fernando J. Gómez-Ruiz Adolfo del Campo |
| author_sort | András Grabarits |
| collection | DOAJ |
| description | We report a systematic investigation of universal quantum chaotic signatures in the transverse field Ising model on an Erdős-Rényi 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 the strength of the transverse field in various regimes. We demonstrate that the level spacing distribution 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 integrablelike regimes extend over a vanishingly small segment in the full range of connectivity. Our work elucidates the emergence of quantum chaos in relation to network topology, establishing a bridge between many-body physics and network theory. |
| format | Article |
| id | doaj-art-27a979e5a9794c90818187f05f4d52b2 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-27a979e5a9794c90818187f05f4d52b22025-02-11T15:05:04ZengAmerican Physical SocietyPhysical Review Research2643-15642025-02-017101314610.1103/PhysRevResearch.7.013146Quantum chaos in random Ising networksAndrás GrabaritsKasturi Ranjan SwainMahsa Seyed HeydariPranav ChandaranaFernando J. Gómez-RuizAdolfo del CampoWe report a systematic investigation of universal quantum chaotic signatures in the transverse field Ising model on an Erdős-Rényi 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 the strength of the transverse field in various regimes. We demonstrate that the level spacing distribution 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 integrablelike regimes extend over a vanishingly small segment in the full range of connectivity. Our work elucidates the emergence of quantum chaos in relation to network topology, establishing a bridge between many-body physics and network theory.http://doi.org/10.1103/PhysRevResearch.7.013146 |
| spellingShingle | András Grabarits Kasturi Ranjan Swain Mahsa Seyed Heydari Pranav Chandarana Fernando J. Gómez-Ruiz Adolfo del Campo Quantum chaos in random Ising networks Physical Review Research |
| title | Quantum chaos in random Ising networks |
| title_full | Quantum chaos in random Ising networks |
| title_fullStr | Quantum chaos in random Ising networks |
| title_full_unstemmed | Quantum chaos in random Ising networks |
| title_short | Quantum chaos in random Ising networks |
| title_sort | quantum chaos in random ising networks |
| url | http://doi.org/10.1103/PhysRevResearch.7.013146 |
| work_keys_str_mv | AT andrasgrabarits quantumchaosinrandomisingnetworks AT kasturiranjanswain quantumchaosinrandomisingnetworks AT mahsaseyedheydari quantumchaosinrandomisingnetworks AT pranavchandarana quantumchaosinrandomisingnetworks AT fernandojgomezruiz quantumchaosinrandomisingnetworks AT adolfodelcampo quantumchaosinrandomisingnetworks |