7 papers
Mixed updating in structured populations
David A. Brewster, Yichen Huang, Michael Mitzenmacher +1
Evolutionary graph theory (EGT) studies the effect of population structure on evolutionary dynamics. The vertices of the graph represent the individuals. The edges denote inter…
The Mixed Birth-death/death-Birth Moran Process
David A. Brewster, Yichen Huang, Michael Mitzenmacher +1
We study evolutionary dynamics on graphs in which each step consists of one birth and one death, also known as the Moran processes. There are two types of individuals: residents wi…
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…
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…
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…
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…
Improved concentration of Laguerre and Jacobi ensembles
Yichen Huang, Aram W. Harrow
We consider the asymptotic limits where certain parameters in the definitions of the Laguerre and Jacobi ensembles diverge. In these limits, Dette, Imhof, and Nagel proved that up…