The Landau levels of a two-dimensional electron system support a plethora of fascinating many-body ground states and collective low-energy excitations, thanks to enhanced electron-electron interactions and the characteristics of the LL wave functions. The n=1 LL is particularly fascinating as it hosts even-denominator fractional quantum Hall…

In 1937, Ettore Majorana suggested that a particle, which is its own antiparticle might exist. This triggered the interest of high-energy physicists, but, despite the big efforts, there is no evidence of such a particle [1]. In condensed matter, a quasiparticle with such property can be created, i.e. a Majorana zero mode (MZM). MZMs are non…

Controlling many-body entanglement promises to yield both fundamental insights and practical advances. In particular, generating squeezed states for entanglement-enhanced metrology is an important near-term application of quantum systems. In past work, squeezing has been achieved in a clean, controlled setting using all-to-all Ising…

The study of symmetry lies at the heart of various parts of physics. In equilibrium physics, symmetries are useful in classifying phases of matter and in non-equilibrium physics, they are necessary to understand the phenomenon of thermalization. Most symmetries conventionally studied in the literature are examples of so-called on-site unitary…

Experimental condensed matter research is undergoing a revolution. Before, the need for 3D crystalline samples with a given structure and doping set stringent requirements for realization of the desired properties. Now, it is possible to create tunable 2D samples in the lab, overcoming the previous limitations and speeding up the research. Here…

Abstract: In this talk, I will present local electronic compressibility measurements on a twisted transition metal dichalcogenide heterobilayer, which reveal a rich phase diagram of Hofstadter states and novel electron crystalline orders. We show that this reflects the coexistence of both flat and dispersive moiré bands whose…

Liquid crystal elastomers are rubbery solids with liquid crystal mesogens incorporated into their polymer chains.  These solids combine the entropic elasticity of rubber with the orientational phase transitions of liquid crystals.  The deformation and orientational order are coupled, giving rise to a rich variety of phenomena…

Abstract: A stochastic gravitational wave background (SGWB) is expected to be generated from a population of unresolved sources and potentially from early Universe processes. In the nHz band, supermassive black hole binaries generate a SGWB, and there have been hints that a detection of the SGWB by pulsar timing arrays (PTAs) may be on the…

To understand computation in the brain, one needs to understand the input-output relationships for neural circuits and the anatomical and functional properties of individual neurons therein. Optical microscopy has emerged as an ideal tool in this quest, as it is capable of recording the activity of…

"We will start discussing a new method of how to prove exponential decay for the solutions of the wave equation on a Schwarzschild de Sitter black hole spacetime by exploiting a novel "relatively non-degenerate" estimate. This estimate does not degenerate at trapping. The main ingredient in proving this estimate is to commute with a novel…

Title/Abstract TBA

Abstract: The fermion sign problem tends to stymie exploration of
highly entangled phases of fermions, such as those relevant for heavy
fermion quantum criticality. In this talk, I will present recent
progress in simulating Fermi and non-Fermi liquids in the context of
Kondo lattice systems. One of the new ideas is…