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My research is focused on understanding the physics of interacting quantum gases by theoretical modeling and numerical simulation. This is in part motivated by the advent of versatile experimental platforms for trapping and manipulating systems of atoms and photons. In the past, I have studied exotic phases of matter, collective excitations, and quantum dynamics of such systems. My recent work has explored novel out-of-equilibrium properties arising in the presence of dissipation and/or periodic driving, and how they can be observed in experiments. I am also actively involved in developing widely applicable numerical techniques, such as DMRG for continuum systems.
In Plain English
“The behavior of things in the small scale is so fantastic! It is so wonderfully different! So marvelously different than anything that behaves on a large scale.” – Richard Feynman
I get to play with the strange mathematical rules of quantum mechanics which gives rise to this small-scale behaviour. Although everything is made up of these tiny objects or "atoms," their quantum nature is often blurred by thermal fluctuations (random jiggling motion). As matter is cooled down to near absolute zero, these fluctuations die out and one enters the quantum realm in full glory. Thanks to experimental advances, it is now possible to "cook" such scenarios in a controllable setting and "look" at how individual particles behave. Understanding this quantum world is central to modern electronics and will play a key role in future technologies. I use a blend of analytical and numerical approaches to explore the rich features which emerge in these systems. For example, below are two articles written for a general audience: the first on ripples on a superfluid (a novel phase of matter), and the latter on "fractional" particles on a thin film of light!
- Critical Response of a Quantum van der Pol Oscillator Phys. Rev. Lett. 123, 250401 (2019)
- Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles Phys. Rev. A 97, 033825 (2018)
- Protocol to engineer Fulde-Ferrell-Larkin-Ovchinnikov states in a cold Fermi gas Phys. Rev. A 96, 023612 (2017)
- Collective Modes of a Soliton Train in a Fermi Superfluid Phys. Rev. Lett. 118, 260402 (2017)
- Dimensional crossover in a spin-imbalanced Fermi gas Phys. Rev. A 94, 063627 (2016)