About

I am a theoretical condensed matter physicist with a broad interest in quantum many-body physics relevant to experiments. At present, I am predominantly interested in applying topological principles to create protected solid-state and cold-atomic systems for quantum information processing. Such topological phenomena might provide the basis for quantum information processing.

Advances in experimental physics have pushed the design of materials and devices towards the regime of quantum many-body physics. At the same time conceptual advances at the boundary of theoretical condensed matter, quantum information and high-energy physics such as topological quantum field theories, entanglement entropy, holography and many-body localization all point to a new era of understanding new quantum mechanical many-body phenomena. I am primarily interested in searching for manifestations of these beautiful ideas in phenomena in the real world. One such phenomenon, which is at the heart of topological quantum field theory, is topological degeneracy of quantum states. Such degeneracy is a macroscopic quantum phenomenon where two many-body quantum states of the system are at exactly the same energy in a way that is immune to external perturbations. Potential candidates for topological superconductors that could support Majorana fermions and are being studied in on-going experiments provide examples of phases with similarly protected degeneracy. This creates the potential of storing and manipulating quantum information in macroscopic states of quantum materials, and ultimately, of leading to platforms for topological quantum computation. I am also interested in the search for quantum many-body phenomena in other systems where topological principles such as Weyl systems and spin-orbit coupled Bose gases as well as Josephson junction arrays.

Affiliations

Condensed Matter Theory

Research Group

Joint Quantum Institute (JQI)

Co-director and Fellow

Condensed Matter Theory Center (CMTC)

Member

Research Interests

Majorana fermions and topological superconductivity

Non-abelian phases and topological quantum computation

Spin-orbit coupling and quantum critical dynamics in cold atomic gases

Weyl semi-metals, chiral symmetry breaking and chiral magnetic effect

People

News

Publications

Selected recent publications (from CV dated July 14, 2023)

ArXiv | Google Scholar

Teaching

Online course: Topology in Condensed Matter Physics

Spring 2016 and Spring 2015

EdX version

Courses taught (updated from CV dated July 14, 2023)

  • Phys 420: Principles of Modern Physics (Spring 2016, Spring 2017, Fall 2017)
  • Phys 621: Introduction to Quantum Mechanics (Fall 2013, Fall 2014, Fall 2015)
  • Phys 731: Solid state physics: a survey (Spring 2018, Spring 2019, Spring 2020, Spring 2021)
  • Phys 626: Scaling and renormalization group in statistical physics (Fall 2020, Fall 2021)
  • Phys 625: Quantum many-body physics (Spring 2022)