We study a solvable model of two types hard core Bose particles. A complete analysis is given of its equilibrium states including the proof of existence of Bose–Einstein condensation. The plasmon frequencies and the quantum normal modes corresponding to these frequencies are rigorously...

In this paper, we study the effects of Lorentz Symmetry Breaking on the thermodynamic properties of ideal gases. Inspired by the dispersion relation coming from the Carroll–Field–Jackiw model for Electrodynamics with Lorentz and CPT violation term, we compute the thermodynamics quantities...

We study the nonequilibrium growth of a weakly interacting homogeneous Bose gas after a quench from a high-temperature state to a temperature below the Bose–Einstein critical condensation temperature. We quantitatively characterize the departure from thermal equilibrium and observe the...

This paper is concerned with the complex behavior arising in satisfiability problems. We present a new statistical physics-based characterization of the satisfiability problem. Specifically, we design an algorithm that is able to produce graphs starting from a k-SAT instance, in order to analyze...

We present a theoretical study of the effects of the next-nearest-neighbor (NNN) hopping (t2) on the properties of non-interacting bosons in optical lattices in the presence of an Aubry–André quasi-disorder. First we investigate, employing exact diagonalization, the effects of t2 on the...

We approach the problem of the Bose–Einstein condensation of neutral atoms in an external trap, which is a finite system in size, from the viewpoint of quantum field theory. The phenomenon is considered as a spontaneous symmetry breakdown. The main result of this paper is that the vacua for...

We propose a computationally straightforward method that allows us to successfully study large systems, far from thermal equilibrium, where analytical methods and Molecular Dynamics are not applicable. The main aspect of our method is a reduction of the microscopic dynamics, which should be...

Despite the weakly interacting regime, the physics of Bose–Einstein condensates is widely affected by particle–particle interactions. They determine quantum phase diffusion, which is known to be the main cause of loss of coherence. Studying a simple model of two interacting Bose systems, we...

We investigate a phenomenon of creation of excitations in the homogeneous Bose–Einstein condensate due to an impurity moving with a constant velocity. A simple model is considered to take into account dynamical effects due to motions of the impurity. Based on this model, we show that there can...

In this study, classical and fractional Gross–Pitaevskii (GP) equations were solved for harmonic potential and repulsive interactions between the boson particles using the Homotopy Perturbation Method (HPM) to investigate the ground state dynamics of Bose–Einstein Condensation (BEC). The...