# 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 of these theories 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 has 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. Recently he is exploring how one can use quantum computers to solve quantum field theories.

Chandrasekharan, S. “Solutions to sign problems in lattice Yukawa models.” *Physical Review D Particles, Fields, Gravitation and Cosmology*, vol. 86, no. 2, July 2012. *Scopus*, doi:10.1103/PhysRevD.86.021701.
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Chandrasekharan, S., and A. Li. “Fermion bag solutions to some sign problems in four-fermion field theories.” *Physical Review D Particles, Fields, Gravitation and Cosmology*, vol. 85, no. 9, May 2012. *Scopus*, doi:10.1103/PhysRevD.85.091502.
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Chandrasekharan, Shailesh, and Anyi Li. “Fermion bags, duality, and the three dimensional massless lattice thirring model.” *Physical Review Letters*, vol. 108, no. 14, Apr. 2012, p. 140404. *Epmc*, doi:10.1103/physrevlett.108.140404.
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Chandrasekharan, S. “Fermion bag solutions to sign problems.” *Proceedings of Science*, vol. Part F130497, Jan. 2012. *Scopus*, doi:10.22323/1.164.0224.
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Chandrasekharan, S., and A. Li. “Fermion bag approach to the sign problem in strongly coupled lattice QED with Wilson fermions.” *Journal of High Energy Physics*, vol. 2011, no. 1, Jan. 2011. *Scopus*, doi:10.1007/JHEP01(2011)018.
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Chandrasekharan, S., and A. Li. “The generalized fermion-bag approach.” *Proceedings of Science*, vol. 139, Jan. 2011.

Liu, Dong E., et al. “Quantum phase transition and emergent symmetry in a quadruple quantum dot system.” *Physical Review Letters*, vol. 105, no. 25, Dec. 2010, p. 256801. *Epmc*, doi:10.1103/physrevlett.105.256801.
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Liu, D. E., et al. “Conductance of quantum impurity models from quantum monte carlo.” *Physical Review B Condensed Matter and Materials Physics*, vol. 82, no. 16, Oct. 2010. *Scopus*, doi:10.1103/PhysRevB.82.165447.
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Chandrasekharan, S. “Fermion bag approach to lattice field theories.” *Physical Review D Particles, Fields, Gravitation and Cosmology*, vol. 82, no. 2, July 2010. *Scopus*, doi:10.1103/PhysRevD.82.025007.
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Banerjee, D., and S. Chandrasekharan. “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*, vol. 81, no. 12, June 2010. *Scopus*, doi:10.1103/PhysRevD.81.125007.
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