28 citations · 169 across the 22 of their papers we have counts for
23 papers
Equilibrium Halo Solutions of the Gross-Pitaevskii-Poisson System: The Role of the Particle Number
Francisco A. Guzmán, Elías Castellanos, Jorge Mastache
We investigate stationary halo-like solutions of the Gross-Pitaevskii-Poisson (GPP) system, which describes self-gravitating Bose-Einstein condensates with repulsive self-interacti…
Emergent Quantum Droplets in Logarithmic Klein-Gordon Models of Bose-Einstein Condensates
Kevin Hernández, Elías Castellanos
We study a relativistic scalar field model for self-bound Bose-Einstein condensates (BECs) by analyzing a nonlinear Klein-Gordon equation with cubic and logarithmic interactions. T…
Oscillating Quantum Droplets from the free expansion of Logarithmic One-Dimensional Bose Gases
Omar Abel Rodríguez-López, Elías Castellanos
We analyze some issues related to the stability and free expansion of a one-dimensional logarithmic Bose-Einstein condensate, particularly its eventual relation to the formation of…
Non-relativistic Boson Stars as N-Body Quantum Systems
Elías Castellanos, Guillermo Chacón-Acosta, Jorge Mastache
In the present work, we analyze the structural configuration of a collection of generic non-relativistic bosons forming a gravitational bound Bose-Einstein condensate that we inter…
Superfluids in Polymer Quantum Mechanics
Jasel Berra-Montiel, Elías Castellanos, Alberto Molgado +1
In this work, we analyze the corrections obtained on a homogeneous one-dimensional Bose gas within the high densities limit by means of the polymer quantization scheme. Thus, start…
Dark energy as generalised superfluid excitations
Elías Castellanos, Celia Escamilla-Rivera
In this paper we present a generic form of the cosmological Equation of State derived from the formalism of Statistical Mechanics, assuming that a cosmic acceleration scenario can…
Is a Bose-Einstein Condensate a good candidate for Dark Matter? A test with Galaxy Rotation Curves
Elías Castellanos, Celia Escamilla-Rivera, Jorge Mastache
We analyze the rotation curves that correspond to a Bose--Einstein Condensate (BEC) type halo surrounding a Schwarzschild--type black hole to confront predictions of the model upon…
Bose-Einstein Condensates in Charged Black-Hole Spacetimes
Elías Castellanos, Juan Carlos Degollado, Claus Lämmerzahl +2
We analyze Bose-Einstein condensates on three types of spherically symmetric and static charged black-hole spacetimes: The Reissner-Nordström spacetime, Hoffmann's Born-Infeld blac…
Stability Analysis of a Bose-Einstein Condensate Trapped in a Generic Potential
Elías Castellanos, Celia Escamilla-Rivera, Mayra J. Reyes-Ibarra
We investigate the dynamical behavior of the Gross-Pitaevskii equation for a Bose-Einstein condensate trapped in a spherical power law potential restricted to the repulsive case, f…
Bose-Einstein Condensation and Symmetry Breaking of a Complex Charged Scalar Field
Tonatiuh Matos, Elías Castellanos, Abril Suárez
In this work the Klein-Gordon (KG) equation for a complex scalar field with U(1) symmetry endowed in a mexican-hat scalar field potential with thermal and electromagnetic contribut…
Polymer quantization in the Bogoliubov's regime for a homogeneous one-dimensional Bose-Einstein condensate
Elías Castellanos, Guillermo Chacón-Acosta, Héctor H. Hernández-Hernández +1
In the present report we analyze the eventual modifications caused by the polymer quantization upon the ground state of a homogeneous one-dimensional Bose-Einstein condensate. We o…
Homogeneous one-dimensional Bose-Einstein Condensate in the Bogoliubov's Regime
Elías Castellanos
We analyze the corrections caused by finite size effects upon the ground state properties of a homogeneous one-dimensional Bose-Einstein condensate. We assume from the very beginni…
Scalar field as a Bose-Einstein condensate in a Schwarzschild-de Sitter spacetime
Elías Castellanos, Celia Escamilla-Rivera, Claus Lämmerzahl +1
In this paper we analyze some properties of a scalar field configuration, where it is considered as a trapped Bose-Einstein condensate in a Schwarzschild-de Sitter background space…
Modified uncertainty principle from the free expansion of a Bose-Einstein Condensate
Elías Castellanos, Celia Escamilla-Rivera
In this paper, we present a theoretical and numerical analysis of the free expansion of a Bose-Einstein condensate, where we assume that the single particle energy spectrum is defo…
Planck-Scale Traces from the Interference Pattern of two Bose-Einstein Condensates
E. Castellanos, J. I. Rivas
We analyze the possible effects arising from Planck scale regime upon the interference pattern of two non-interacting Bose-Einstein condensates. We start with the analysis of the f…
Scalar Field as a Bose-Einstein Condensate?
Elías Castellanos, Celia Escamilla-Rivera, Alfredo Macías +1
We discuss the analogy between a classical scalar field with a self-interacting potential, in a curved spacetime described by a quasi--bounded state, and a trapped Bose-Einstein co…
Planck Scale Induced Speed of Sound in a Trapped Bose-Einstein Condensate
E. Castellanos, J. I. Rivas, V. Domínguez-Rocha
In the present work, we analyze the corrections caused by an anomalous dispersion relation, suggested in several quantum gravity models, upon the speed of sound in a weakly interac…
Polymer Bose--Einstein Condensates
E. Castellanos, G. Chacon-Acosta
In this work we analyze a non--interacting one dimensional polymer Bose--Einstein condensate in an harmonic trap within the semiclassical approximation. We use an effective Hamilto…
Planck Scale Physics and Bogoliubov Spaces in a Bose-Einstein Condensate
E. Castellanos
We analyze the consequences caused by a deformed dispersion relation, suggested in several quantum gravity models, upon a bosonic gas. Concerning the ground state of the Bogoliubov…
Bose gas to Bose-Einstein Condensate by the Phase Transition of the Klein-Gordon equation
Tonatiuh Matos, Elías Castellanos
We rewrite the complex Klein-Gordon (KG) equation with a mexican-hat scalar field potential in a thermal bath with one loop contribution as a new Gross-Pitaevskii (GP)-like equatio…
Modified Bosonic Gas Trapped in a Generic 3-dim Power Law Potential
E. Castellanos, C. Laemmerzahl
We analyze the consequences caused by an anomalous single-particle dispersion relation suggested in several quantum-gravity models, upon the thermodynamics of a Bose-Einstein conde…
Ideal-Modified Bosonic Gas Trapped in an Arbitrary Three Dimensional Power-Law Potential
E. Castellanos, C. Laemmerzahl
We analyze the effects caused by an anomalous single-particle dispersion relation suggested in several quantum-gravity models, upon the thermodynamics of a Bose-Einstein condensate…
Critical Temperature Associated to Symmetry Breaking of Klein--Gordon fields versus Condensation Temperature in a Weakly interacting Bose--Einstein Gas
Elias Castellanos, Tonatiuh Matos
We deduce the relation between the critical temperature associated to the symmetry breaking of scalar fields with one--loop correction potential immersed in a thermal bath and the…