A bound on chaos from stability
Abstract We explore the quantum chaos of the coadjoint orbit action of diffeomorphism group of S 1. We study quantum fluctuation around a saddle point to evaluate the soft mode contribution to the out-of-time-ordered correlator. We show that the stability condition of the semi-classical analysis of...
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| Format: | article |
| Language: | EN |
| Published: |
SpringerOpen
2021
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| Subjects: | |
| Online Access: | https://doaj.org/article/a6a0f4fc31ad4e4e8125a8aee7ffd73d |
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| Summary: | Abstract We explore the quantum chaos of the coadjoint orbit action of diffeomorphism group of S 1. We study quantum fluctuation around a saddle point to evaluate the soft mode contribution to the out-of-time-ordered correlator. We show that the stability condition of the semi-classical analysis of the coadjoint orbit found in [1] leads to the upper bound on the Lyapunov exponent which is identical to the bound on chaos proven in [2]. The bound is saturated by the coadjoint orbit Diff(S 1)/SL(2) while the other stable orbit Diff(S 1)/U(1) where the SL(2, ℝ) is broken to U(1) has non-maximal Lyapunov exponent. |
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