We theoretically investigate the thermodynamic stability of a normal-state Bose-Fermi mixture, with tunable pairing interaction $-U_{\rm BF}<0$ associated hetero-nuclear Feshbach resonance, as well weak repulsive Bose-Bose $U_{\rm BB}\ge 0$. Including strong hetero-pairing fluctuations former within self-consistent $T$-matrix approximation, latter mean-field level, we calculate compressibility ...

Burris, Stanley. ‘‘George Boole.’’ In The Stanford Encyclopedia of Philosophy, edited by Edward N. Zalta. 2010. Available from http://plato.stanford.edu/archives/sum2010/entries/boole/ Krantz, Steven G. Discrete Mathematics Demystified. New York: McGraw-Hill, 2009. Nahin, Paul J. The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age. Princeton, NJ: Princ...

We study the tunneling properties of a cigar-shaped Bose-Einstein condensate by using an effective 1D nonpolynomial nonlinear Schrödinger equation (NPSE). First we investigate a mechanism to generate periodic pulses of coherent matter by means of a Bose condensate confined in a potential well with an oscillating height of the energy barrier. We show that is possible to control the periodic emis...

While researching on the history of fingerprinting, we came across several archive records which throw light on the key role played by two Indian police officers, SubInspectors Azizul Haque and Hem Chandra Bose, in the advancement of the science of fingerprints. The so-called Henry’s System of Fingerprint Classification was actually worked out by them. The world’s first fingerprint bureau was s...

The aim of this chapter is first to give an introduction to the derivation of the Gross-Pitaevskii Equations (GPEs) that arise in the modeling of Bose-Einstein Condensates (BECs). In particular, we describe some physical problems related to stationary states, dynamics, multi-components BECs and the possibility of handling stochastic effects into the equation. Next, we explain how to compute the...

The recent experimental realisation of a one-dimensional Bose gas of ultra cold alkali atoms has renewed attention on the theoretical properties of the impenetrable Bose gas. Of primary concern is the ground state occupation of effective single particle states in the finite system, and thus the tendency for Bose-Einstein condensation. This requires the computation of the density matrix. For the...

In this thesis, we analytically and numerically study quantized vortex states aswell as their dynamics in rotating Bose-Einstein condensate at extremely low tem-perature.We present an efficient method–gradient flow with discrete normalization tofind the stationary solutions of the Gross-Pitaevskii equation and coupled Gross-Pitaevskii equations. We give a mathematical justif...

The dynamic response of ultracold Bose gases in one-dimensional optical lattices and superlattices is investigated based on an exact numerical time evolution in the framework of the Bose-Hubbard model. The system is excited by a temporal amplitude modulation of the lattice potential, as it was already realized in experiment. For regular lattice potentials, the dynamic signatures of the superflu...

Bose-Einstein condensates of quasiparticles such as exciton-polaritons, magnons and massive photons allow for new experimental possibilities as compared to the atomic Bose-Einstein condensates. In this Thesis we focus on a condensate of photons, first created at Bonn University in 2010. One of the recent achievements is the measurement of number fluctuations in such a condensate of photons. We ...