Bose gas with generalized dispersion relation plus an energy gap

XXZ chain concerning its relation to the Bose gas

By considering the one-particle and two-particle scattering data of the spin2 Heisenberg chain at T = 0 we derive a continuum limit relating the spin chain to the 1D Bose gas. Applying this limit to the quantum transfer matrix approach of the Heisenberg chain we obtain expressions for the correlation functions of the Bose gas at arbitrary temperatures. PACS: 02.30.Ik, 05.30.-d, 75.10.Pq e-mail:...

An electron–gas plus damped‐dispersion calculation of the N2–N2 interaction

Holographic Dark Energy Model with Modified Generalized Chaplygin Gas

We present a holographic dark energy model of the universe considering modified generalized Chaplygin gas (GCG). The modified GCG behaves as an ordinary barotropic fluid in the early epoch when the universe was tiny but behaves subsequently as a ΛCDM model at late epoch. An equivalent model with scalar field is obtained here by constructing the corresponding potential. The holographic dark ener...

Holographic Dark Energy Model with Generalized Chaplygin Gas

We present a holographic dark energy model of the universe considering modified extension of the generalized Chaplygin gas (GCG). The modified GCG behaves as an ordinary barotropic fluid in the early epoch when the universe was tiny but behaves subsequently as a ΛCDMmodel as the universe grows. We determine the corresponding holographic dark energy field and its potential. The stability of the ...

Interacting Bose Gas in an Optical Lattice

A grand canonical system of hard-core bosons in an optical lattice is considered. The bosons can occupy randomly N equivalent states at each lattice site. The limit N → ∞ is solved exactly in terms of a saddle-point integration, representing a weakly-interacting Bose gas. In the limit N → ∞ there is only a condensate if the fugacity of the Bose gas is larger than 1. Corrections in 1/N increase ...