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We discuss cosmological effects of the quantum loops of massless particles, which lead to temporal non-localities in the equations of motion governing the scale factor a(t). For the effects discussed here, loops cause the evolution of a(t)…

General Relativity and Quantum Cosmology · Physics 2014-06-11 John F. Donoghue , Basem Kamal El-Menoufi

We present a general, analytic recipe to compute the entanglement that is generated between arbitrary, discrete modes of bosonic quantum fields by Bogoliubov transformations. Our setup allows the complete characterization of the quantum…

Quantum Physics · Physics 2013-02-19 Nicolai Friis , Ivette Fuentes

We analyze cosmological particle production driven by spacetime expansion in the early universe for homogeneous and isotropic cosmologies with positive, negative, and zero spatial curvature. We prioritize analytical results to gain a deeper…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Jose A. R. Cembranos , Luis J. Garay , Álvaro Parra-López

Fundamental physical phenomena such as laser-induced ionization, driven quantum tunneling, Faraday waves, Bogoliubov quasiparticle excitations, and the control of new states of matter rely on time-periodic driving of the system. A…

A quantum field has been coupled to a space-time with accelerating expansion. Dynamical modes are destabilised successively at shorter material wavelengths as they metamorphose from oscillators to repellers. Due to degeneracy of energy…

General Relativity and Quantum Cosmology · Physics 2024-04-29 Philip Broadbridge , Sarah Becirevic , David Hoxley

When the electromagnetic potentials are expressed in the Coulomb gauge in terms of the electric and magnetic fields rather than the sources responsible for these fields they have a simple form that is non-local i.e. the potentials depend on…

Quantum Physics · Physics 2014-04-28 A. M. Stewart

We introduce a quantization scheme that can be applied to surface waves propagating along a plane interface. An important result is the derivation of the energy of the surface wave for dispersive non-lossy media without invoking any…

Perturbative QFT is developed in terms of off-shell fields (that is, functionals on the configuration space not restricted by any field equation), and by quantizing the (underlying) free theory by an $\hbar$-dependent deformation of the…

Mathematical Physics · Physics 2023-08-24 Michael Duetsch

We focus on finding a coarse grained description able to reproduce the thermodynamic behavior of a molecular system by using mesoparticles representing several molecules. Interactions between mesoparticles are modelled by an interparticle…

Soft Condensed Matter · Physics 2015-06-17 Gerome Faure , Jean-Bernard Maillet , Gabriel Stoltz

The Einstein-Podolsky-Rosen nonlocality puzzle has been recognized as one of the most important unresolved issues in the foundational aspects of quantum mechanics. We show that the problem is resolved if the quantum correlations are…

Quantum Physics · Physics 2009-11-06 C. S. Unnikrishnan

We investigate particle production from coherent oscillation by using the method based on the Bogolyubov transformation. Especially, we study the case when the amplitude of the oscillation and also the coupling constants with the…

High Energy Physics - Phenomenology · Physics 2011-03-28 Takehiko Asaka , Hiroaki Nagao

We investigate the fate of particle production in an expanding universe dominated by a perfect fluid with equation of state $p = \alpha\rho$. The rate of particle production, using the Bogolioubov coefficients, are determined exactly for…

General Relativity and Quantum Cosmology · Physics 2012-07-06 A. B. Batista , J. C. Fabris , M. J. S. Houndjo

The method is proposed for the phenomenological description of particle creation by external fields (in the presence of gravitational field or without it). It is shown that, despite the appearance of the non-dynamical degrees of freedom,…

General Relativity and Quantum Cosmology · Physics 2014-04-15 Victor Berezin

The paper is devoted to the formulation of quantum field theory for an early universe in General Relativity considered as the Dirac general constrained system. The main idea is the Hamiltonian reduction of the constrained system in terms of…

High Energy Physics - Theory · Physics 2008-11-26 V. N. Pervushin , V. I. Smirichinski

We show that the amount of particle production in an arbitrary cosmological background can be determined using only the late-time positive-frequency modes. We don't refer to modes at early times, so there is no need for a Bogolubov…

High Energy Physics - Theory · Physics 2009-11-10 Alex J. Hamilton , Daniel Kabat , Maulik K. Parikh

We extend Schwinger's ideas regarding sonoluminescence by explicitly calculating the Bogolubov coefficients relating the QED vacuum states associated with changes in a dielectric bubble. Sudden (non-adiabatic) changes in the refractive…

Quantum Physics · Physics 2009-10-31 Matt Visser , S. Liberati , F. Belgiorno , D. W. Sciama

Assuming that the energy of a gas depends non-locally on the logarithm of its mass density, the body force in the resulting equation of motion consists of the sum of density gradient terms. Truncating this series after the second term,…

Quantum Physics · Physics 2022-02-04 Roberto Mauri

The problem of particle creation from vacuum in a flat Robertson-Walker space-time is studied. Two sets of exact solutions for the Klein Gordon equation are given. Then the canonical method based on Bogoliubov transformation is applied to…

High Energy Physics - Theory · Physics 2012-08-03 S. Haouat , R. Chekireb

We consider the large time behavior of solutions to defocusing nonlinear Schrodinger equation in the presence of a time dependent external potential. The main assumption on the potential is that it grows at most quadratically in space,…

Analysis of PDEs · Mathematics 2013-05-20 Rémi Carles , Jorge Drumond Silva

The Gray-Scott model is a set of reaction-diffusion equations that describes chemical systems far from equilibrium. Interest in this model stems from its ability to generate spatio-temporal structures, including pulses, spots, stripes, and…

Numerical Analysis · Mathematics 2024-03-26 Loic Cappanera , Gabriela Jaramillo , Cory Ward
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