What are Path Integrals? [1,2,3]
What is superfluidity [2,3]? Relation between topology and superfluidity
in path integrals (winding numbers) [4,5].
Theory of Helium, lambda transition [2,3,4], and supersolidity [6,7].
Winding numbers and quantum Monte Carlo.
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[1] Quantum Many Particle Physics, J. W. Negele and H. Orland, Addison
Wesley (1988), chapters 1-2
[2] Functional Integrals and collective excitations, V. N. Popov,
Cambridge University Press (1987), parts I - II
[3] Statistical Mechanics: a set of Lectures, R. P. Feynman, chapters 3, 11
[4] Path integrals in the theory of condensed helium, D. M. Ceperley, Rev.
Mod. Phys. 67, 279 (1995)
[5] Path-Integral computation of superfluid densities, E. L. Pollock and D.
M. Ceperley, Phys. Rev. B 36, 8343 (1987)
[6] Probable observation of a supersolid helium phase, E. Kim and M .H. W.
Chan, Nature 427, 225 (2004)
[7] Observation of Superflow in Solid helium, E. Kim and M. H. W. Chan,
Science 305, 1941 (2004).
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