Through art and science in their broadest senses it is possible to make a permanent contribution towards the improvement and enrichment of human life and it is these pursuits that we students are engaged in.
Colloquia
Coffee starts at 12:00 PM and talk starts at 12:15 PM
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Bio: Dr. Michael J. Shelley is an applied mathematician who works on the modeling and simulation of complex systems arising in physics and biology. He is the Lyttle Professor of Applied Mathematics at the Courant Institute, co-founder of the Courant Institute's Applied Mathematics Lab, and is the Director of the Center for Computational Biology at the Flatiron Institute. He holds a B.A. in mathematics from the University of Colorado and a Ph.D. in applied mathematics from the University of Arizona. He was a postdoctoral researcher at Princeton University and a member of the mathematics faculty at the University of Chicago before joining NYU. Shelley has received the François Frenkiel Award from the American Physical Society and the Julian Cole Lectureship from the Society for Industrial and Applied Mathematics, and he is a Fellow of both societies. He is also a Fellow of the American Academy of Arts and Sciences and a member of the National Academy of Sciences.
PSB = Physical Science Building
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1University of Colorado
2National Solar Observatory
*Hale Fellow
The equation of state (EOS) is one of the outstanding challenges in neutron star (NS) astrophysics. Accurate determination of their masses and radii will constrain the EOS of nuclear matter. There are multiple efforts underway to determine mass and radius, such as using observations of hot spot radiation being gravitationally bent around the NS. This goal can also be accomplished by measuring the spectrum of the NS directly. In dense plasmas, the widths of spectral lines are dominated by pressure broadening and can therefore be used to determine a star’s gravity. However, the high magnetic field in a NS atmosphere complicates the physics of line broadening creating competing broadening mechanisms. Theoretical developments of line broadening in high magnetic fields indicate that collisions with plasma particles exceed the broadening from the motional Stark effect from the magnetic field. Contrary to past results, this means that spectral lines from neutron star atmospheres can be used to directly determine mass and radius. Recent measurements from the Chandra X-ray telescope give us a clue as to the feasibility of this method.
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Here, I will show that nonlinear responses such as optical rectification and second harmonic generation offer a unique window into quantum observables that encode the basic elements of “quantum geometry”, a feature of multiband solids with broken symmetries. Such signals are only measurable going beyond linear response.
I will demonstrate that familiar analogues from the world of differential geometry -- curvatures and metrics – naturally appear in the nonlinear response regime and give rise to currents forbidden in linear response. As direct applications, I will present the mechanism for rectified current generation in twisted Moire superlattices, the Hall current in topological antiferromagnets, the role of quantum geometry in sliding ferroelectricity and time-reversal odd rectification in crystals.
I will conclude with an overview of the many prospective uses of the quantum geometric viewpoint on light-matter interaction, touching on how nonlinear signals can diagnose the order parameter of a topological superconductor, in a manner accessible only beyond the linear regime.
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We will then explore, or two-dimensional suspensions (monolayers) the development of minimally rigid structures in the shear-thickened suspension as it approaches jamming at high stress, and show that the onset of large rigid clusters exhibits critical behavior. The extension to 3D and the possible relationship of this behavior to other work showing critical scaling at the onset of shear thickening and jamming will be discussed.
- R. Mari, R. Seto, J. F. Morris & M. M. Denn 2014 Shear thickening, frictionless and frictional rheologies. J. Rheol. 58, 1693.
- M. van der Naald, A. Singh, T.T. Eid, K. Tang, J. J. de Pablo & H. M. Jaeger, H.M. 2024. Minimally rigid clusters in dense suspension flow. Nature Physics 20, 653–659.
At Home with QC presents:
QC astronomer Keaton Bell uses video recordings from space telescopes to measure vibrations of dead stars called white dwarfs. White dwarf stars are the glowing hot embers left over when most stars run out of nuclear fuel. Some white dwarfs vibrate spontaneously, revealing resonant frequencies of the stars that can be used to map their interior structures. This presentation will describe the physics of stellar vibrations by analogy with musical instruments. We will review how the QC White Dwarf Research Group interprets video recordings of vibrating stars to study their structures and discuss the importance of studying white dwarf stars. This talk will premiere an exciting new discovery that has never been seen by a public audience.
For more information about the presentation and Keaton Bell, click here.
RSVP: bit.ly/AHWQC-KeatonBell
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Light is an electromagnetic wave defined by several degrees of freedom (DoF), including frequency, momentum, amplitude, phase, and polarization. Controlling these properties is crucial across scientific disciplines, and is a key goal of a wide array of technologies. Nanophotonic devices called “metasurfaces” fill this need by structuring common materials (such as silicon, glass, and metals) at subwavelength scales (micrometer and smaller). The result is tailored light-matter interactions determined by the details of the structure, no longer limited by the materials we are given by nature. These interactions can be customized at will—a sandbox for invention in a platform that is readily manufacturable.
My research aims to both (1) invent, design and develop new devices using novel and emerging physical phenomena and (2) apply these new tools to exciting applications. In particular, starting from an array of uniform subwavelength structures, we have found that introducing small geometric perturbations that break specific symmetries can impart remarkable control to light point-by-point across the device—in some cases, “complete” control over the physically relevant DoF. Applications include new methods for optical combiners in augmented reality systems, custom couplers in integrated photonics for communications systems, and controlling the directionality and polarization of thermal emission in surprising ways.
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