In this talk, we propose to decipher the activity of neural networks via a “multiply and conquer” approach. This approach considers limit networks made of infinitely many replicas with the same basic neural structure. The key point is that these so-called replica-mean-field networks are in fact simplified, tractable versions of neural networks…
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The existence of dark matter has been long established through astrophysical and cosmological observations, yet we still do not know what it is made of. Direct detection experiments have extensively searched for dark matter particles above the proton mass for decades. However, recent technological developments have made it possible to look for…
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Global symmetries are expected to be violated in quantum gravity. The violation can be captured by nonzero scattering amplitudes with different initial and final global charges. In this talk, I will discuss such processes involving the scattering of high energy spherical shells in AdS spacetime. The focus will be to describe an explicit…
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A new era in astrophysics was inaugurated with the 2015 discovery of gravitational waves from the collision of two black holes in data from the Laser Interferometer Gravitational-wave Observatory (LIGO). Since then, LIGO and its sister project Virgo have observed several more gravitational waves from the collision of black holes and neutron…
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Phase transitions instigated by a tailored, ultrashort laser pulse usher in a new era for materials engineering in the femto- (10-15) to pico-second (10-12 s) regime, a time window that is commensurate with nanoscopic dynamics of electrons, spins, and lattice ions. Rapid advances in tabletop ultrafast techniques—such as time-resolved…
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One of the strongest predictions of the standard cold dark matter paradigm is the hierarchy of structure down to Earth-mass scales. However, individual self-bound clumps of dark matter--"halos"--are difficult to detect directly. Instead, we use galaxies as lampposts for halos. By counting galaxies, we can measure the…
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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…
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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…
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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…
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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…
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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…
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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…
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"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…
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