Joe P. Chen

TL;DR: It is found that reaching the quantum limit of arbitrarily small phonon numbers requires going into the good-cavity (resolved phonon sideband) regime where the cavity linewidth is much smaller than the mechanical frequency and the corresponding cavity detuning.

TL;DR: In this paper, Fan, Khandker, and Strichartz give sufficient conditions for Bohr's formula to hold on metric measure spaces which admit a cellular decomposition, and then verify these conditions for fractafolds and fractal fields based on nested fractals.

TL;DR: In this article, the authors identify a collection of periodic billiard orbits in a self-similar Sierpinski carpet billiard table Ω (S a ) and determine the corresponding translation surface S ( S a, n ) for each prefractal table, and show that the genera { g n } n = 0 ∞ of a sequence of translation surfaces without bound.

TL;DR: In this paper, the spectrum of the self-similar Laplacian was investigated and it was shown that it is singularly continuous whenever p ≥ 12 and that the spectrum can be generalized to more complicated settings.

TL;DR: In this paper, Fan, Khandker, and Strichartz give sufficient conditions for Bohr's formula to hold on metric measure spaces which admit a cellular decomposition, and then verify these conditions for fractafolds and fractal fields based on nested fractals.