14 citations · 90 across the 30 of their papers we have counts for
31 papers
Geometric formulation for Palatini-Cartan gravity
Jasel Berra-Montiel, Iván Cortes-Cruz, Alberto Molgado
Motivated by the increasing efforts to understand the covariant structure of physical models associated with General Relativity using different kinds of geometric frameworks, in th…
Phase space quantization of anisotropic cosmologies: Taub and Kantowski-Sachs models
Jasel Berra-Montiel, Alberto Molgado, Jorge Santacruz
We introduce an explicit construction of the non-diagonal and diagonal Wigner distributions for the homogeneous but anisotropic Taub and Kantowski-Sachs cosmological models within…
Star product for qubit states in phase space and star exponentials
Jasel Berra-Montiel, Alberto Molgado, Mar Sánchez-Córdova
In this paper, we formulate the phase space description of qubit systems using coadjoint orbits of and the Stratonovich-Weyl correspondence, yielding a deformation quantiza…
Star-exponential for Fermi systems and the Feynman-Kac formula
J. Berra-Montiel, H. García-Compeán, A. Kafuri +1
Inspired by the formalism that relates the star-exponential with the quantum propagator for bosonic systems, in this work we introduce the analogous extension for the fermionic cas…
The Jaynes-Cummings model in Phase Space Quantum Mechanics
Mar Sanchez-Cordova, Jasel Berra-Montiel, Alberto Molgado
In this paper, we address the phase space formulation of the Jaynes-Cummings model through the explicit construction of the full Wigner function for a hybrid bipartite quantum syst…
Star exponentials and Wigner functions for time-dependent harmonic oscillators
Jasel Berra-Montiel, Daniel Contreras-Bear, Alberto Molgado +1
In this paper, we address the Wigner distribution and the star exponential function for a time-dependent harmonic oscillator for which the mass and the frequency terms are consider…
Geometric analysis for the Pontryagin action and boundary terms
Jasel Berra-Montiel, Iñaki de Santos, Alberto Molgado
In this article, we analyze the Pontryagin model adopting different geometric-covariant approaches. In particular, we focus on the manner in which boundary conditions must be impos…
The Feynman-Kac formula in deformation quantization
Jasel Berra-Montiel, Hugo Garcia-Compean, Alberto Molgado
We introduce the Feynman-Kac formula within the deformation quantization program. Constructing on previous work it is shown that, upon a Wick rotation, the ground state energy of a…
The propagator field theory revisited: a Lorentz symmetry breaking approach
R. Cartas-Fuentevilla, S. González-Salud, R. Bárcena-Ramos +1
It is well known that the propagator for a massive scalar field is ill-defined in the coordinate space for , in particular it diverges at the light-cone; we show that by us…
Quantum energy teleportation in phase space quantum mechanics
M. M. Sanchez-Cordova, Jasel Berra-Montiel
In this paper, we investigate the Quantum Energy Teleportation protocol within the phase space formulation of quantum mechanics. By employing the Wigner quasi-probability distribut…
Star exponentials from propagators and path integrals
Jasel Berra-Montiel, Hugo Garcia-Compean, Alberto Molgado
In this paper we address the relation between the star exponentials emerging within the Deformation Quantization formalism and Feynman's path integrals associated with propagators…
Tomography in Loop Quantum Cosmology
Jasel Berra-Montiel, Alberto Molgado
We analyze the tomographic representation for the Friedmann-Robertson-Walker (FRW) model within the Loop Quantum Cosmology framework. We focus on the Wigner quasi-probability distr…
The Higgs mechanism and geometrical flows for two-manifolds
R. Cartas-Fuentevilla, A. Herrera-Aguilar, J. Berra-Montiel
Using Perelman's approach for geometrical flows in terms of an entropy functional, the Higgs mechanism is studied dynamically along flows defined in the space of parameters and in…
A review on geometric formulations for classical field theory: the Bonzom-Livine model for gravity
Jasel Berra-Montiel, Alberto Molgado, Angel Rodríguez-López
Motivated by the study of physical models associated with General Relativity, we review some finite-dimensional, geometric and covariant formulations that allow us to characterize…
Star product approach for Loop Quantum Cosmology
Jasel Berra-Montiel, Alberto Molgado, Eduardo Torres-Cordero
Guided by recent developments towards the implementation of the deformation quantization program within the Loop Quantum Cosmology (LQC) formalism, in this paper we address the int…
Star product representation of coherent state path integrals
Jasel Berra-Montiel
In this paper, we determine the star product representation of coherent path integrals. By employing the properties of generalized delta functions with complex arguments, the Glaub…
Quasi-probability distributions in Loop Quantum Cosmology
Jasel Berra-Montiel, Alberto Molgado
In this paper, we introduce a complete family of parametrized quasi-probability distributions in phase space and their corresponding Weyl quantization maps with the aim to generali…
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…
Deformation quantization and the tomographic representation of quantum fields
Jasel Berra-Montiel, Roberto Cartas
The tomographic representation of quantum fields within the deformation quantization formalism is constructed. By employing the Wigner functional we obtain the symplectic tomogram…
Hyperbolic ring based formulation for thermo field dynamics, quantum dissipation, entanglement, and holography
R. Cartas-Fuentevilla, J. Berra-Montiel, O. Meza-Aldama
The classical and quantum formulations for open systems related to dissipative dynamics are constructed on a complex hyperbolic ring, following universal symmetry principles, and c…
Coherent representation of fields and deformation quantization
Jasel Berra-Montiel, Alberto Molgado
Motivated by some well-known results in the phase space description of quantum optics and quantum information theory, we aim to describe the formalism of quantum field theory by ex…
Deformation quantization of constrained systems: a group averaging approach
Jasel Berra-Montiel, Alberto Molgado
Motivated by certain concepts introduced by the Refined Algebraic Quantization formalism for constrained systems which has been successfully applied within the context of Loop Quan…
The Polymer representation for the scalar field: A Wigner functional approach
Jasel Berra-Montiel
In this paper, we analyze the polymer representation of the real-valued scalar field theory within the deformation quantization formalism. Specifically, we obtain the polymer Wigne…
Polysymplectic formulation for BF gravity with Immirzi parameter
Jasel Berra-Montiel, Alberto Molgado, Angel Rodriguez-Lopez
The polysymplectic formulation of the CMPR action, which is a BF-type formulation of General Relativity that involves an arbitrary Immirzi parameter, is performed. We implement a p…