From Hardcore Bosons to Free Fermions with Painlevé V

Fermions from Bosons in a Theta Vacuum

This paper is concerned with two monopole effects: the induced charge from a theta vacuum and the fermions from bosons effect. Here we point out that these seemingly disparate effects combine together in a natural way at strong coupling; producing a spectrum of absolutely stable spin-half dyons from an underlying purely bosonic gauge theory. The manner in which they do this has some implication...

Quantum atom optics with bosons and fermions

Disorder-Induced Superfluidity in Hardcore Bosons in Two Dimensions

We study the effect of disorder on hardcore bosons in two dimensions at the SU(2) symmetric “Heisenberg point”. We obtain our results with quantum Monte Carlo simulations using the directed loop algorithm. In the absence of disorder, the system has no long-range order at finite temperature due to the enhanced symmetry. However, the introduction of a disordered potential, uniformly distributed f...

Dual Quantum Monte Carlo Algorithm for Hardcore Bosons

We derive the exact dual representation of the bosonic Hubbard model which takes the form of conserved current loops. The hardcore limit, which corresponds to the quantum spin1 2 Heisenberg antiferromagnet, is also obtained. In this limit, the dual partition function takes a particularly simple form which is very amenable to numerical simulations. In addition to the usual quantities that we can...

Studies on the Painlevé equations V , third Painlevé

By means of geometrical classification ([22]) of space of initial conditions, it is natural to consider the three types, PIII(D6), PIII(D7) and PIII(D8), for the third Painlevé equation. The fourth article of the series of papers [17] on the Painlevé equations is concerned with PIII(D6), generic type of the equation. The other two types, PIII(D7) and PIII(D8) are obtained as degeneration from P...