We study a kinetically constrained pair-hopping model that arises within a Landau level in
the quantum Hall effect. At filling ν= 1/3, the model exactly maps onto the so-called “PXP …

The low-energy physics of fractional quantum Hall (FQH) states—a paradigm of strongly
correlated topological phases of matter—to a large extent is captured by weakly interacting …

Intermediate-scale quantum technologies provide new opportunities for scientific discovery,
yet they also pose the challenge of identifying suitable problems that can take advantage of …

We elucidate the nature of neutral collective excitations of fractional quantum Hall liquids in
the long-wavelength limit. We demonstrate that they are chiral gravitons carrying angular …

Geometric fluctuations of the density mode in a fractional quantum Hall (FQH) state can give
rise to a nematic FQH phase, a topological state with a spontaneously broken rotational …

Starting from the Luttinger model for the band structure of GaAs, we derive an effective
theory that describes the coupling of the fractional quantum Hall (FQH) system with photons …

We introduce different types of quenches to probe the nonequilibrium dynamics and multiple
collective modes of bilayer fractional quantum Hall states. We show that applying an electric …

These lecture notes provide an introduction to higher-spin gauge theories in three
spacetime dimensions, with a focus on their asymptotic symmetries, their holographic …

We use the dynamical structure factors of the quantum Hall states at ν= 1/3 and 1/2 in the
lowest Landau level to study their excitation spectrum. Using the density matrix …

In this work, we propose the quantum Hall system as a platform for exploring black hole
phenomena. By exhibiting deep rooted commonalities between the lowest Landau level and …