TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.1.021
TI  - Scrambling under quench
PY  - 2023/03/28
UR  - https://scipost.org/SciPostPhysCore.6.1.021
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 1
SP  - 021
A1  - Aramthottil, Adith Sai
AU  - Das, Diptarka
AU  - Das, Suchetan
AU  - Dey, Bidyut
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysCore.6.1.021,
	title={{Scrambling under quench}},
	author={Adith Sai Aramthottil and Diptarka Das and Suchetan Das and Bidyut Dey},
	journal={SciPost Phys. Core},
	volume={6},
	pages={021},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.1.021},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.1.021},
}