A quantum monomer-dimer model on a Penrose tiling

Abstract: We define a quantum monomer-dimer model on a Penrose tiling (a quasicrystal) in the space of maximal dimer coverings. Monomers are necessarily present because it was shown by F. Flicker et al., PRX 10, 011005 (2020) that there are no perfect dimer coverings of Penrose tilings. Despite the presence of a finite density of monomers, our model has a Rokhsar-Kivelson (RK) point at which the ground state is a uniform superposition of all maximal dimer coverings.

Quantum Metrology with Optical Frequency Combs

The optical frequency comb is one of the most significant advances in laser physics since the
development of the laser itself. It has made routine the counting and synthesis of the oscillations
of light on the femtosecond time scale, and it is an essential component of all present and future
optical clocks and time-transfer systems. It further enables the most accurate measurement of any
fundamental physical quantity—that of the quantized energy states of atoms and ions with 18

Exploring Exciton Nonlinearity and Condensates in Two-Dimensional Semiconductors 2024

Van der Waals heterostructures composed of atomically thin semiconductors have recently
emerged as a platform for studying strongly interacting electronic and excitonic systems. In this
talk, I will discuss a few ongoing experiments aimed at probing and controlling their excitonic
phases. One focus is the exploration of exciton condensates, where we realize long-lived
excitons with large binding energies and low disorder—critical factors for realizing high-
temperature condensates. Furthermore, I will highlight how exciton-carrier interactions can