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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…
cond-mat.stat-mech2024
High-precision simulation of finite-size thermalizing systems at long times
Yichen Huang
To simulate thermalizing systems at long times, the most straightforward approach is to calculate the thermal properties at the corresponding energy. In a quantum many-body system…