Transport Information Beyond Strong Eigenstate Thermalization
Abstract
Strong eigenstate thermalization (ETH) in operationally mean-ergodic, non-chaotic systems provides an opportunity to investigate whether Floquet eigenstates retain information about classical transport beyond their leading thermodynamic behavior. We address this question using the double kicked top (DKT), which exhibits nonmixing transport and dynamics consistent with weak mixing transport under variation of its control parameters. We show that the coefficient m of the leading finite-size correction to the normalized eigenstate entanglement entropy (EE) s tracks the restructuring between these transport regimes even when the thermodynamic-limit entropy c becomes nearly insensitive to them. This coefficient m is positive for nonmixing transport and negative when dynamics consistent with weak mixing transport dominate. The coefficient's sign reversal in the coexistence regime remains stable as the semiclassical resolution increases. Our results demonstrate that finite-size eigenstate structure can encode signatures of classical transport that are invisible in the thermodynamic-limit entropy, providing an eigenstate-based diagnostic of dynamical organization beyond the leading thermodynamic behavior associated with strong ETH.
Related
- Generalized eigenstate thermalization beyond leading order in 2D large c CFTs
- Full Eigenstate Thermalization in Quantum Field Theory and Gravitational Scrambling
- A random sampling method to test the weak Eigenstate Thermalization Hypothesis
- Full Eigenstate Thermalization in Quantum Field Theory: Free Cumulants and Gravitational Scrambling
- Semiclassical scaling of eigenstate thermalization in single-particle chaotic systems
BibTeX
@misc{purohit2026transport,
title = {{Transport Information Beyond Strong Eigenstate Thermalization}},
author = {Avadhut V. Purohit and Harshit Sharma and Udaysinh T. Bhosale},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.19675},
eprint = {2610.19675},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.19675},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Transport Information Beyond Strong Eigenstate Thermalization
AU - Avadhut V. Purohit
AU - Harshit Sharma
AU - Udaysinh T. Bhosale
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.19675
UR - https://arxiv.org/abs/2610.19675
AB - Strong eigenstate thermalization (ETH) in operationally mean-ergodic, non-chaotic systems provides an opportunity to investigate whether Floquet eigenstates retain information about classical transport beyond their leading thermodynamic behavior. We address this question using the double kicked top (DKT), which exhibits nonmixing transport and dynamics consistent with weak mixing transport under variation of its control parameters. We show that the coefficient m of the leading finite-size correction to the normalized eigenstate entanglement entropy (EE) s tracks the restructuring between these transport regimes even when the thermodynamic-limit entropy c becomes nearly insensitive to them. This coefficient m is positive for nonmixing transport and negative when dynamics consistent with weak mixing transport dominate. The coefficient's sign reversal in the coexistence regime remains stable as the semiclassical resolution increases. Our results demonstrate that finite-size eigenstate structure can encode signatures of classical transport that are invisible in the thermodynamic-limit entropy, providing an eigenstate-based diagnostic of dynamical organization beyond the leading thermodynamic behavior associated with strong ETH.
ER -