# Shailesh Chandrasekharan

## Associate 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.

Lattice and Effective Field Theory Studies of Quantum Chromodynamics awarded by Department of Energy (Co-Principal Investigator). 2005 to 2018

Coherence and Correlations in Electronic Nanostructures awarded by National Science Foundation (Co-Principal Investigator). 2005 to 2009

Coherence and Correlation in Electronic Nanostructures awarded by National Science Foundation (Co-Principal Investigator). 2001 to 2006

Toward the Chiral Limit in QCD awarded by Department of Energy (Principal Investigator). 2003 to 2005

Quantum Chromodynamics and Nuclear Physics at Extreme Energy Density awarded by Department of Energy (Co-Principal Investigator). 1995 to 2005

Hann, CT, Huffman, E, and Chandrasekharan, S. "Solution to the sign problem in a frustrated quantum impurity model." *Annals of Physics* 376 (January 2017): 63-75.
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Huffman, E, and Chandrasekharan, S. "Solution to sign problems in models of interacting fermions and quantum spins." *Physical review. E* 94.4-1 (October 19, 2016): 043311-.

Ayyar, V, and Chandrasekharan, S. "Fermion masses through four-fermion condensates." *Journal of High Energy Physics* 2016.10 (October 2016).
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Huffman, E, Banerjee, D, Chandrasekharan, S, and Wiese, U-J. "Real-time evolution of strongly coupled fermions driven by dissipation." *Annals of Physics* 372 (September 2016): 309-319.
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Ayyar, V, and Chandrasekharan, S. "Origin of fermion masses without spontaneous symmetry breaking." *Physical Review D* 93.8 (April 2016).
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Ayyar, V, and Chandrasekharan, S. "Massive fermions without fermion bilinear condensates." *Physical Review D* 91.6 (March 2015).
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Zou, H, Liu, Y, Lai, C-Y, Unmuth-Yockey, J, Yang, L-P, Bazavov, A, Xie, ZY, Xiang, T, Chandrasekharan, S, Tsai, S-W, and Meurice, Y. "Progress towards quantum simulating the classical model." *Physical Review A* 90.6 (December 2014).
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Chandrasekharan Shailesh, . "Fermion Bag Solutions to Sign Problems." *Proceedings of Science* Lattice2012 (December 2012): 224-. (Academic Article)

Chandrasekharan, S, and Li, A. "Fermion bags, duality, and the three dimensional massless lattice thirring model." *Phys Rev Lett* 108.14 (April 6, 2012): 140404-.
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Chandrasekharan, S. "Solutions to sign problems in lattice Yukawa models." *Physical Review D - Particles, Fields, Gravitation and Cosmology* 86.2 (2012).
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## Pages

Chandrasekharan, S. "Fermion bags, topology and index theorems." January 1, 2016.

Chandrasekharan, S. "Quantum critical behavior with massless staggered fermions in three dimensions." January 1, 2013.