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N Prokof'ev

Publications and source records attributed to N Prokof'ev.

3 recordsLinked to original sources
PubMed2001

Critical point of a weakly interacting two-dimensional Bose gas.

We study the Berezinskii-Kosterlitz-Thouless transition in a weakly interacting 2D quantum Bose gas using the concept of universality and numerical simulations of the classical absolute value psi(4) model on a lattice. The critical density and chemical potential are given by relations n(c) = (mT/2piPlanck's(2))ln(xiPlanck's(2)/mU) and mu(c) = (mTU/piPlanck's(2))ln(xi(mu)Planck's(2)/mU), where T is the temperature, m is the mass, and U is the effective interaction. The dimensionless constant xi = 380+/-3 is very large and thus any quantitative analysis of the experimental data crucially depends on its value. For xi(mu) our result is xi(mu) = 13.2+/-0.4. We also report the study of the quasicondensate correlations at the critical point.

Journal Article↗
PubMed2001

Worm algorithms for classical statistical models.

We show that high-temperature expansions provide a basis for the novel approach to efficient Monte Carlo simulations. "Worm" algorithms utilize the idea of updating closed-path configurations (produced by high-temperature expansions) through the motion of end points of a disconnected path. An amazing result is that local, Metropolis-type schemes using this approach appear to have dynamical critical exponents close to zero (i.e., their efficiency is comparable to the best cluster methods) as proved by finite-size scaling of the autocorrelation time for various universality classes.

Journal Article↗