Speaker
Description
The eigenstate thermalization hypothesis (ETH) explains how closed quantum systems thermalize, with off-diagonal matrix elements—described by a smooth spectral function—governing relaxation dynamics. [Çeven et al., PRB 113, 045126 (2026)] proposed a hiearchy between the Thouless freqeuncy (set by transport) and the random-matrix-theory (RMT) frequency (set by spectral statistics) in a disordered spin-1/2 XX ladder, but without directly connecting it to the ETH framework. Here, we try to bridge this gap by analyzing the frequency dependence of the off-diagonal smooth spectral function. From our preliminary results, we find that a low-frequency plateau develops near the RMT frequency, while the Thouless freqeuncies lie at larger frequencies where the spectral function is already decaying. Our preliminary results link the hierarchy of relaxation timescales to the ETH structure underlying thermlzation in chaotic quantum systems.
References
Kadir Çeven, Lukas Peinemann, and Fabian Heidrich-Meisner, Hierarchy of timescales in a disordered spin-1/2 XX ladder, Phys. Rev. B 113, 045126 (2026)
| Project | T2 - Eigenstate thermalization in interacting quantum gases in optical lattices |
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