Inhomogeneous Polyakov loop induced by inhomogeneous chiral condensates

Inhomogeneous Polyakov loop induced by inhomogeneous chiral condensates

We study the spatial inhomogeneity of the Polyakov loop induced by inhomogeneous chiral condensates. We formulate an effective model of gluons on the background fields of chiral condensates, and perform its lattice simulation. On the background of inhomogeneous chiral condensates, the Polyakov loop exhibits an in-phase spatial oscillation with the chiral condensates. We also analyze the heavy q...

Inhomogeneous condensates in planar QED.

We study the formation of vacuum condensates in 2 + 1 dimensional QED in the presence of inhomogeneous background magnetic fields. For a large class of magnetic fields, the condensate is shown to be proportional to the inhomogeneous magnetic field, in the large flux limit. This may be viewed as a local form of the integrated degeneracy-flux relation of Aharonov and Casher.

Collisionally Inhomogeneous Bose-Einstein Condensates

This dissertation studies solitary waves in collisionally inhomogeneous BoseEinstein condensates in a magnetic trap using a quasi-1D mean-field model. We introduce a model for Bose-Einstein condensate with spatially and temporally modulated nonlinearity. In terms of the spatially periodic nonlinear lattice, we study BECs in a lattice one of which minimum in a period either overlap with the mini...

Evolution of inhomogeneous condensates after phase transitions.

Using the O(4) linear σ model, we address the topic of non-equilibrium relaxation of an inhomogeneous initial configuration due to quantum and thermal fluctuations. The space-time evolution of an inhomogeneous fluctuation of the condensate in the isoscalar channel decaying via the emission of pions in the medium is studied within the context of disoriented chiral condensates. We use out of equi...

Matter-wave solitons of collisionally inhomogeneous condensates