22 citations · 72 across the 15 of their papers we have counts for
18 papers
What Bohmian mechanic says about arrival times of 1D vacuum squeezed states
Angel Garcia-Chung, Humberto G. Laguna
We calculate the time of arrival probability distribution of a quantum particle using the Bohmian formalism. The pilot-wave is given by the wave function of the one dimensional vac…
Constraining the quantum gravity polymer scale using LIGO data
Angel Garcia-Chung, Matthew F. Carney, James B. Mertens +3
We present the first empirical constraints on the polymer scale describing polymer quantized GWs propagating on a classical background. These constraints are determined from the po…
What do gravitational wave detectors say about polymer quantum effects?
Angel Garcia-Chung, Matthew F. Carney, James B. Mertens +3
We compute the expected response of detector arms of gravitational wave observatories to polymerized gravitational waves. The mathematical and theoretical features of these waves w…
A model of polymer gravitational waves: theory and some possible observational consequences
Angel Garcia-Chung, James B. Mertens, Saeed Rastgoo +2
We propose a polymer quantization scheme to derive the effective propagation of gravitational waves on a classical Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. These waves…
From geometry to coherent dissipative dynamics in quantum mechanics
Hans Cruz-Prado, Alessandro Bravetti, Angel Garcia-Chung
Starting from the geometric description of quantum systems, we propose a novel approach to time-independet dissipative quantum processes according to which the energy is dissipated…
The EPR paper: a pedagogical approach
Angel Garcia-Chung
On the seminal paper written by Einstein, Podolsky and Rosen [1], a critique to the completeness of quantum mechanics was posed. Part of the critique consisted in the following arg…
What happens once an accelerating observer has detected a Rindler particle?
Angel Garcia-Chung, Benito A. Juárez-Aubry, Daniel Sudarsky
In a seminal paper, Unruh and Wald found that the detection of a right Rindler particle by a linearly uniformly accelerated detector coupled to a Klein-Gordon field in the Minkowsk…
Propagation of quantum gravity-modified gravitational waves on a classical FLRW spacetime
Angel Garcia-Chung, James B. Mertens, Saeed Rastgoo +2
The linearized Einstein field equations provide a low-energy wave equation for the propagation of gravitational fields which may originate from a high energy source. Motivated by l…
A geometric approach to the generalized Noether theorem
Alessandro Bravetti, Angel Garcia-Chung
We provide a geometric extension of the generalized Noether theorem for scaling symmetries recently presented in \cite{zhang2020generalized}. Our version of the generalized Noether…
On the geometric phase for Gaussian states
Angel Garcia-Chung
We show the explicit expression of the geometric phase for -partite Gaussian states. In our analysis, the covariance matrix can be obtained as a boundary term of the geometric p…
On the covariance matrix for Gaussian states
Angel Garcia-Chung
We show the explicit expression for the covariance matrix of general Gaussian states in terms of the symplectic group matrices. We discuss how the criteria to characterize squeezin…
Squeeze operator: a classical view
Angel Garcia-Chung
In this paper we show the relation between , the Lie algebra of the symplectic group, and the elements of the symplectic group . We use this rel…
The symplectic group in Polymer Quantum Mechanics
Angel Garcia-Chung
In this paper we provide the representation of the symplectic group in polymer quantum mechanics. We derive the propagator of the polymer free particle and the…
Bounds on the Polymer Scale from Gamma Ray Bursts
Yuri Bonder, Angel Garcia-Chung, Saeed Rastgoo
The polymer representations, which are partially motivated by loop quantum gravity, have been suggested as alternative schemes to quantize the matter fields. Here we apply a versio…
Dirac's formalism for time-dependent Hamiltonian systems in the extended phase space
Angel Garcia-Chung, Daniel Gutiérrez Ruiz, J. David Vergara
The Dirac's formalism for constrained systems is applied to the analysis of time-dependent Hamiltonians in the extended phase space. We show that the Lewis invariant is a reparamet…
Exact Baker-Campbell-Hausdorff formula for the contact Heisenberg algebra
Alessandro Bravetti, Angel Garcia-Chung, Diego Tapias
In this work we introduce the contact Heisenberg algebra which is the restriction of the Jacobi algebra on contact manifolds to the linear and constant functions. We give the exact…
Polymer-Fourier quantization of the scalar field revisited
Angel Garcia-Chung, J. David Vergara
The Polymer Quantization of the Fourier modes of the real scalar field is studied within algebraic scheme. We replace the positive linear functional of the standard Poincaré invari…
Instanton solutions on the polymer harmonic oscillator
Joan A. Austrich Olivares, Angel Garcia-Chung, J. David Vergara
It is computed, using instanton methods, the first allowed energy band for the polymer harmonic oscillator. The result is consistent with the band structure of the standard quantum…