# Shailesh Chandrasekharan

## Professor of Physics

### Overview

Prof. Chandrasekharan is interested in understanding quantum field theories non-perturbatively from first principles calculations. His research focuses on lattice formulations with emphasis on strongly correlated fermionic systems of interest in condensed matter, particle and nuclear physics. He develops novel Monte-Carlo algorithms to study these problems. He is particularly excited about solutions to the notoriously difficult sign problem that haunts quantum systems containing fermions and gauge fields. He recently proposed an idea called the fermion bag approach, using which he has been able to solve numerous sign problems that seemed unsolvable earlier. Using various algorithmic advances over the past decade, he is interested in understanding the properties of quantum critical points containing interacting fermions. Some of his recent publications can be found here.

Chandrasekharan, S, and Li, A. "The generalized fermion-bag approach." *Proceedings of Science* 139 (January 1, 2011).

Chandrasekharan, S, and Li, A. "Anomaly and a QCD-like phase diagram with massive bosonic baryons." *Journal of High Energy Physics* 2010.12 (December 22, 2010).
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Liu, DE, Chandrasekharan, S, and Baranger, HU. "Quantum phase transition and emergent symmetry in a quadruple quantum dot system." *Phys Rev Lett* 105.25 (December 17, 2010): 256801-.
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Liu, DE, Chandrasekharan, S, and Baranger, HU. "Conductance of quantum impurity models from quantum monte carlo." *Physical Review B Condensed Matter and Materials Physics* 82.16 (October 28, 2010).
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Chandrasekharan, S. "Fermion bag approach to lattice field theories." *Physical Review D Particles, Fields, Gravitation and Cosmology* 82.2 (July 14, 2010).
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Banerjee, D, and Chandrasekharan, S. "Finite size effects in the presence of a chemical potential: A study in the classical nonlinear O(2) sigma model." *Physical Review D Particles, Fields, Gravitation and Cosmology* 81.12 (June 8, 2010).
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Podolsky, D, Chandrasekharan, S, and Vishwanath, A. "Phase transitions of S=1 spinor condensates in an optical lattice." *Physical Review B Condensed Matter and Materials Physics* 80.21 (December 9, 2009).
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Kaul, RK, Ullmo, D, Zaránd, G, Chandrasekharan, S, and Baranger, HU. "Ground state and excitations of quantum dots with magnetic impurities." *Physical Review B Condensed Matter and Materials Physics* 80.3 (August 6, 2009).
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Chandrasekharan, S, Jiang, FJ, Pepe, M, and Wiese, UJ. "Rotor spectra, berry phases, and monopole fields: From antiferromagnets to QCD." *Physical Review D Particles, Fields, Gravitation and Cosmology* 78.7 (October 21, 2008).
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Cecile, DJ, and Chandrasekharan, S. "Role of the σ resonance in determining the convergence of chiral perturbation theory." *Physical Review D Particles, Fields, Gravitation and Cosmology* 77.9 (May 5, 2008).
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