Anupam Garg Anupam Garg
Professor
PhD, Cornell University, 1983

Anupam Garg's research is in the areas of theoretical condensed-matter physics and basic quantum mechanics.  At present he is interested in magnetization dynamics and spin tunneling in small systems such as molecular magnets, and the systematic study of the semiclassical limit for spin.  His past interests include Bell's theorem, macroscopic quantum phenomena in superconducting devices and magnets, quantum computing, quasicrystals, superfluid 3He, and superconductivity in the heavy-fermion systems, especially UPt3.

Garg is particularly interested in understanding the spin-coherent-state path integral.  He has shown that one must include discontinuous paths in the semiclassical limit, which have the effect of undercutting the topological features of the Berry-phase-induced interference effects seen in the tunnel splitting of certain magnetic molecules.  Using the general spin propagator, he has found the Bohr-Sommerfeld rule for spin systems.  He is exploring other semiclassical objects which follow from the path integral, and other systems where a coherent-state path integral is the natural analytic tool.


Selected Publications

A. Garg and M. Stone
Bohr-Sommerfeld Quantization of Spin Hamiltonians
Physical Review Letters 92, 010401 (2004)

E. Kececioglu and A. Garg
Spin Tunneling in Magnetic Molecules:  Quasi-Singular Perturbations and Discontinuous SU(2) Instantons
Phys. Rev. B67, 054406 (2003)

A. Garg et al.
Spin Coherent-State Path Integrals and the Instanton Calculus
J. Math. Phys. 44, 48 (2003)