Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling
A key conjecture about the evolution of complex quantum systems towards an ergodic steady state, known as scrambling, is that this process acquires universal features when it is most efficient. We develop a single-parameter scaling theory for the spectral statistics in this scenario, which embodies...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2025-02-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2025-02-26-1651/pdf/ |
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| author | Tara Kalsi Alessandro Romito Henning Schomerus |
| author_facet | Tara Kalsi Alessandro Romito Henning Schomerus |
| author_sort | Tara Kalsi |
| collection | DOAJ |
| description | A key conjecture about the evolution of complex quantum systems towards an ergodic steady state, known as scrambling, is that this process acquires universal features when it is most efficient. We develop a single-parameter scaling theory for the spectral statistics in this scenario, which embodies exact self-similarity of the spectral correlations along the complete scrambling dynamics. We establish that the scaling predictions are matched by a privileged stochastic process and serve as bounds for other dynamical scrambling scenarios, allowing one to quantify inefficient or incomplete scrambling on all time scales. |
| format | Article |
| id | doaj-art-cd82a5b9b734446ebb3495dcdbc009cd |
| institution | DOAJ |
| issn | 2521-327X |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj-art-cd82a5b9b734446ebb3495dcdbc009cd2025-08-20T03:12:47ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-02-019165110.22331/q-2025-02-26-165110.22331/q-2025-02-26-1651Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scramblingTara KalsiAlessandro RomitoHenning SchomerusA key conjecture about the evolution of complex quantum systems towards an ergodic steady state, known as scrambling, is that this process acquires universal features when it is most efficient. We develop a single-parameter scaling theory for the spectral statistics in this scenario, which embodies exact self-similarity of the spectral correlations along the complete scrambling dynamics. We establish that the scaling predictions are matched by a privileged stochastic process and serve as bounds for other dynamical scrambling scenarios, allowing one to quantify inefficient or incomplete scrambling on all time scales.https://quantum-journal.org/papers/q-2025-02-26-1651/pdf/ |
| spellingShingle | Tara Kalsi Alessandro Romito Henning Schomerus Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling Quantum |
| title | Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling |
| title_full | Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling |
| title_fullStr | Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling |
| title_full_unstemmed | Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling |
| title_short | Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling |
| title_sort | spectral chaos bounds from scaling theory of maximally efficient quantum dynamical scrambling |
| url | https://quantum-journal.org/papers/q-2025-02-26-1651/pdf/ |
| work_keys_str_mv | AT tarakalsi spectralchaosboundsfromscalingtheoryofmaximallyefficientquantumdynamicalscrambling AT alessandroromito spectralchaosboundsfromscalingtheoryofmaximallyefficientquantumdynamicalscrambling AT henningschomerus spectralchaosboundsfromscalingtheoryofmaximallyefficientquantumdynamicalscrambling |