3 papers
cond-mat.stat-mech2025
Entropy of small subsystems in thermalizing systems
Yichen Huang
We study the entropy of small subsystems in thermalizing quantum many-body systems governed by local Hamiltonians. Assuming the eigenstate thermalization hypothesis, we derive an a…
cond-mat.stat-mech2024
Random product states at high temperature equilibrate exponentially well
Yichen Huang
We prove that for all but a measure zero set of local Hamiltonians, starting from random product states at sufficiently high but finite temperature, with overwhelming probability e…
hep-th2024
Deviations from maximal entanglement for eigenstates of the Sachdev-Ye-Kitaev model
Yichen Huang, Yi Tan, Norman Y. Yao
We consider mid-spectrum eigenstates of the Sachdev-Ye-Kiteav (SYK) model. We prove that for subsystems whose size is a constant fraction of the system size, the entanglement entro…