Current Interests
Current Interests: Currently my research is primarily in the areas of non-equilibrium statistical mechanics/many body physics and of topological phases of matter. In the former I have worked in recent years on many body localization, Floquet systems and quantum circuits. I am currently very interested in the new opportunities for many body theory opened up by the creation of NISQ devices and the progress they are expected to see in the next decade. In the latter area I have long term interests in the quantum Hall effect and in the theory of spin liquids and most recently worked some amount on the theory of fractons.
Selected Publications
Evidence for Charge-Flux Duality near the Quantum Hall Liquid-to-Insulator Transition (1996)
Two point-contact interferometer for quantum Hall systems (1997)
Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Model (2001)
Phase structure of non-commutative scalar field theories (2001)
Gaussian Superconducting Fluctuations, Thermal Transport, and the Nernst Effect (2002)
Dipolar Spin Correlations in Classical Pyrochlore Magnets (2004)
SU (2)-invariant spin-1/2 Hamiltonians with RVB and other valence bond phases (2005)
Magnetic monopoles in spin ice (2008)
Random quantum satisfiabiilty (2010)
Kibble-Zurek problem: Universality and the scaling limit (2012)
Localization-protected quantum order (2013)
Phase structure of driven quantum systems (2016)
Fast preparation of critical ground states using superluminal fronts (2018)
Many-body physics in the NISQ era: quantum programming a discrete time crystal (2020)
Digital herd immunity and COVID-19 (2021)
Full list
A full list of my papers is available from the cond-mat archive.
Reviews/Colloquia
The Quantum Hall Effect: The Article (1993)
Continuous quantum phase transitions (1997)
Spin ice, fractionalization, and topological order (2012)
Statistical mechanics of classical and quantum computational complexity (2012)
Equilibration and order in quantum Floquet matter (2017)