- Quantum Information and Cryptography
- Solar and Space Plasma Dynamics
- Homotopy and Cohomology in Algebraic Topology
- Black Holes and Theoretical Physics
- Laser-Matter Interactions and Applications
- Spectroscopy and Quantum Chemical Studies
- Quantum Mechanics and Non-Hermitian Physics
- Quantum chaos and dynamical systems
- Quantum, superfluid, helium dynamics
- Quantum optics and atomic interactions
- Geometric and Algebraic Topology
- Ionosphere and magnetosphere dynamics
- Algebraic structures and combinatorial models
- Cold Atom Physics and Bose-Einstein Condensates
- Mechanical and Optical Resonators
- Magnetic confinement fusion research
- Advanced Thermodynamics and Statistical Mechanics
Harvard University
2024
California Institute of Technology
2020-2021
University of California, Berkeley
1988
A bstract In the context of quantum gravitational systems, we place bounds on regions in field space with slowly varying positive potentials. Using fact that $$ V<{\Lambda}_s^2 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>V</mml:mi> <mml:mo><</mml:mo> <mml:msubsup> <mml:mi>Λ</mml:mi> <mml:mi>s</mml:mi> <mml:mn>2</mml:mn> </mml:msubsup> </mml:math> , where Λ s ( ϕ ) is species scale, and emergent string conjecture, show this places a bound maximum diameter such...
The physical picture of interacting magnetic islands provides a useful paradigm for certain plasma dynamics in variety environments, such as the solar corona, heliosheath, and Earth's magnetosphere. In this work, we derive an island kinetic equation to describe evolution distribution function (in area flux islands) subject collisional integral designed account role reconnection during mergers. This is used study inverse transfer energy through coalescence 2D. We solve our numerically three...
A bstract $$ \hat{Z} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>Z</mml:mi> <mml:mo>̂</mml:mo> </mml:mover> </mml:math> -invariants, which can reconstruct the analytic continuation of SU(2) Chern-Simons partition functions via Borel resummation, were discovered by GPV and have been conjectured to be a new homological invariant 3-manifolds shed light onto superconformal topologically twisted index 3d \mathcal{N} <mml:mi>N</mml:mi> = 2 theories proposed GPPV....
We continue the study of a model non-Gaussian influence functional proposed by Allinger, Carmeli, and Chandler [J. Chem. Phys. 84, 1724 (1986)] to approximate exact resulting from integrating out all quantum states but those primary interest. The premise this work is that many secondary on single state can be closely approximated degenerate level with equal coupling state. degeneracy reflects fluctuations possible among in fact associated partition function states. new calculations presented...