TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.5.142
TI  - Boundary chaos: Spectral form factor
PY  - 2024/11/22
UR  - https://scipost.org/SciPostPhys.17.5.142
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 5
SP  - 142
A1  - Fritzsch, Felix
AU  - Prosen, Tomaž
AB  - Random matrix spectral correlations is a defining feature of quantum chaos. Here, we study such correlations in a minimal model of chaotic many-body quantum dynamics where interactions are confined to the system's boundary, dubbed boundary chaos, in terms of the spectral form factor and its fluctuations. We exactly calculate the latter in the limit of large local Hilbert space dimension $q$ for different classes of random boundary interactions and find it to coincide with random matrix theory, possibly after a non-zero Thouless time. The latter effect is due to a drastic enhancement of the spectral form factor, when integer time and system size fulfill a resonance condition. We compare our semiclassical (large $q$) results with numerics at small local Hilbert space dimension ($q=2,3$) and observe qualitatively similar features as in the semiclassical regime.
ER  -

@Article{10.21468/SciPostPhys.17.5.142,
	title={{Boundary chaos: Spectral form factor}},
	author={Felix Fritzsch and Tomaž Prosen},
	journal={SciPost Phys.},
	volume={17},
	pages={142},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.5.142},
	url={https://scipost.org/10.21468/SciPostPhys.17.5.142},
}