Benchmarking quantum chaos from geometric complexity
Abstract Recent studies have shown that there is a strong interplay between quantum complexity and quantum chaos. In this work, we consider a new method to study geometric complexity for interacting non-Gaussian quantum mechanical systems to benchmark the quantum chaos in a well-known oscillator mod...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)177 |
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| _version_ | 1849726782160240640 |
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| author | Arpan Bhattacharyya Suddhasattwa Brahma Satyaki Chowdhury Xiancong Luo |
| author_facet | Arpan Bhattacharyya Suddhasattwa Brahma Satyaki Chowdhury Xiancong Luo |
| author_sort | Arpan Bhattacharyya |
| collection | DOAJ |
| description | Abstract Recent studies have shown that there is a strong interplay between quantum complexity and quantum chaos. In this work, we consider a new method to study geometric complexity for interacting non-Gaussian quantum mechanical systems to benchmark the quantum chaos in a well-known oscillator model. In particular, we study the circuit complexity for the unitary time-evolution operator of a non-Gaussian bosonic quantum mechanical system. Our results indicate that, within some limitations, geometric complexity can indeed be a good indicator of quantum chaos. |
| format | Article |
| id | doaj-art-a7f7927f864c4c8ca810856e987e2dba |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a7f7927f864c4c8ca810856e987e2dba2025-08-20T03:10:05ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025312310.1007/JHEP03(2025)177Benchmarking quantum chaos from geometric complexityArpan Bhattacharyya0Suddhasattwa Brahma1Satyaki Chowdhury2Xiancong Luo3Department of Physics, Indian Institute of TechnologyHiggs Centre for Theoretical Physics, School of Physics & Astronomy, University of EdinburghInstitute of Theoretical Physics, Jagiellonian UniversityHiggs Centre for Theoretical Physics, School of Physics & Astronomy, University of EdinburghAbstract Recent studies have shown that there is a strong interplay between quantum complexity and quantum chaos. In this work, we consider a new method to study geometric complexity for interacting non-Gaussian quantum mechanical systems to benchmark the quantum chaos in a well-known oscillator model. In particular, we study the circuit complexity for the unitary time-evolution operator of a non-Gaussian bosonic quantum mechanical system. Our results indicate that, within some limitations, geometric complexity can indeed be a good indicator of quantum chaos.https://doi.org/10.1007/JHEP03(2025)177AdS-CFT CorrespondenceBlack Holes in String TheoryHolography and HydrodynamicsCosmological models |
| spellingShingle | Arpan Bhattacharyya Suddhasattwa Brahma Satyaki Chowdhury Xiancong Luo Benchmarking quantum chaos from geometric complexity Journal of High Energy Physics AdS-CFT Correspondence Black Holes in String Theory Holography and Hydrodynamics Cosmological models |
| title | Benchmarking quantum chaos from geometric complexity |
| title_full | Benchmarking quantum chaos from geometric complexity |
| title_fullStr | Benchmarking quantum chaos from geometric complexity |
| title_full_unstemmed | Benchmarking quantum chaos from geometric complexity |
| title_short | Benchmarking quantum chaos from geometric complexity |
| title_sort | benchmarking quantum chaos from geometric complexity |
| topic | AdS-CFT Correspondence Black Holes in String Theory Holography and Hydrodynamics Cosmological models |
| url | https://doi.org/10.1007/JHEP03(2025)177 |
| work_keys_str_mv | AT arpanbhattacharyya benchmarkingquantumchaosfromgeometriccomplexity AT suddhasattwabrahma benchmarkingquantumchaosfromgeometriccomplexity AT satyakichowdhury benchmarkingquantumchaosfromgeometriccomplexity AT xiancongluo benchmarkingquantumchaosfromgeometriccomplexity |