Bound on energy dependence of chaos

Hashimoto, Koji; Murata, Keiju; Tanahashi, Norihiro; Watanabe, Ryota

doi:10.1103/physrevd.106.126010

Cited by 10 publications

(2 citation statements)

References 18 publications

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“…Furthermore, in scenarios where an effective post-quench temperature maybe estimated, the Lyapunov exponent is directly related with this temperature. This connection with thermalization emboldens us to use ETH for the commutator squared along with certain assumptions on the density of states, to further conjecture bound on the Lyapunov exponent extracted during quench as a function of the quench energy using techniques similar to [4]. In case of smooth quench with a characteristic rate, the energy density generated due to the quench is known to exhibit universal Kibble-Zurek scalings and the fast scalings [5,6].…”

Section: Introductionmentioning

confidence: 99%

Scrambling under quench

Aramthottil

Das

et al. 2023

SciPost Phys. Core

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We evaluate out of time ordered correlators in certain low dimensional quantum systems at zero temperature, subjected to homogenous quantum quenches. We find that when the Lyapunov exponent exists, it can be identified with the quenched energy. We show that the exponent naturally gets related to the post-quench effective temperature. In the context of sudden quenches the exponent is determined in terms of the quench amplitude while for smooth quenches we observe scalings (both the Kibble-Zurek as well as the fast) of the exponent with the quench rate. The scalings are identical to that of the energy generated during the quench.

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Section: Introductionmentioning

confidence: 99%

Scrambling under quench

Aramthottil

Das

et al. 2023

SciPost Phys. Core

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“…To identify the reaction γp → ηp → γγp, we detected all the final-state particles and applied a kinematic fit. We measured the differential cross sections and photon beam asymmetries of η photoproduction on the proton in the center-of-mass energy of 1.82 < W < 2.32 [2]. We observed the bump structure at cos θ η c.m.…”

Section: Introductionmentioning

confidence: 99%

Baryon resonance studies via meson photoproduction in the LEPS2/BGOegg experiment

Hashimoto

2023

Preprint

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We present differential cross sections and photon beam asymmetries of photoproduction reactions of η mesons in the center-of-mass energy of 1.82 < W < 2.32 measured in LEPS2/BGOegg experiment. A bump structure is observed W ∼ 2.2 GeV in the differential cross section at cos θηc.m. < −0.6. This structure suggests the existence of the nucleon resonances which have a large s¯s component. For the first time, we measured the photon beam asymmetries for the total energies above 2.1 GeV.

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Circular string in a black p-brane leading to chaos

Dutta,

Panigrahi,

Singh

2023

J. High Energ. Phys.

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We consider a pulsating string near a non-extremal black p-brane (p=5 and p=6) and investigate the chaos in the corresponding string dynamics by examining the Fast Lyapunov indicator(FLI) and Poincare section. In our system, the energy and the charge play the role of control parameters. For generic values of these parameters, the numerical results show that the dynamics primarily fall into three modes: capture, escape to infinity, and quasiperiodic depending on the initial location (near to or far away from the black brane horizon) of the string. Finally, probing for different values of the winding number (n) the dynamics turns out to be sensitive to n. In particular, we observe the point particle (n = 0) scenario to be integrable whereas at higher n the dynamics seems to be chaotic.

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Bound on energy dependence of chaos

Cited by 10 publications

References 18 publications

Scrambling under quench

Scrambling under quench

Baryon resonance studies via meson photoproduction in the LEPS2/BGOegg experiment

Circular string in a black p-brane leading to chaos

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