# 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, Shailesh. “Anomalous superfluidity in (2+1)-dimensional two-color lattice QCD.” *Physical Review Letters*, vol. 97, no. 18, Nov. 2006, p. 182001. *Epmc*, doi:10.1103/physrevlett.97.182001.
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Priyadarshee, Anand, et al. “Quantum phase transitions of hard-core bosons in background potentials.” *Physical Review Letters*, vol. 97, no. 11, Sept. 2006, p. 115703. *Epmc*, doi:10.1103/physrevlett.97.115703.
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Chandrasekharan, S., and F. J. Jiang. “Phase diagram of two-color lattice QCD in the chiral limit.” *Physical Review D Particles, Fields, Gravitation and Cosmology*, vol. 74, no. 1, July 2006. *Scopus*, doi:10.1103/PhysRevD.74.014506.
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Kaul, Ribhu K., et al. “Spectroscopy of the Kondo problem in a box.” *Physical Review Letters*, vol. 96, no. 17, May 2006, p. 176802. *Epmc*, doi:10.1103/physrevlett.96.176802.
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Chandrasekharan, S., and A. C. Mehta. “Effects of the anomaly on the QCD chiral phase transition.” *Proceedings of Science*, vol. 32, Jan. 2006.

Chandrasekharan, S. “New approaches to strong coupling lattice QCD.” *Int. J. Mod. Phys.*, vol. B20, 2006, pp. 2714–23.

Yoo, J., et al. “On the sign problem in the Hirsch-Fye algorithm for impurity problems.” *Journal of Physics A: Mathematical and General*, vol. 38, no. 48, Dec. 2005, pp. 10307–10. *Scopus*, doi:10.1088/0305-4470/38/48/004.
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Kaul, R. K., et al. “Mesoscopic Kondo problem.” *Europhysics Letters*, vol. 71, no. 6, Sept. 2005, pp. 973–79. *Scopus*, doi:10.1209/epl/i2005-10184-1.
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Lee, J. W., et al. “Quantum Monte Carlo study of disordered fermions.” *Physical Review B Condensed Matter and Materials Physics*, vol. 72, no. 2, July 2005. *Scopus*, doi:10.1103/PhysRevB.72.024525.
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Yoo, Jaebeom, et al. “Multilevel algorithm for quantum-impurity models.” *Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics*, vol. 71, no. 3 Pt 2B, Mar. 2005, p. 036708. *Epmc*, doi:10.1103/physreve.71.036708.
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