Resonant particle creation by a time-dependent potential in a nonlocal theory

• URL: http://arxiv.org/abs/2011.12929v2
• Date: Tue, 20 Apr 2021 15:36:10 GMT
• Title: Resonant particle creation by a time-dependent potential in a nonlocal theory
• Authors: Jens Boos, Valeri P. Frolov, Andrei Zelnikov
• Abstract summary: We consider an exactly solvable local quantum theory of a scalar field interacting with a $delta$-shaped time-dependent potential. We show how these considerations, when suitably generalized to a specific nonlocal "infinite-derivative" quantum theory, are impacted by the presence of nonlocality.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Considering an exactly solvable local quantum theory of a scalar field interacting with a $\delta$-shaped time-dependent potential we calculate the Bogoliubov coefficients analytically and determine the spectrum of created particles. We then show how these considerations, when suitably generalized to a specific nonlocal "infinite-derivative" quantum theory, are impacted by the presence of nonlocality. In this model, nonlocality leads to a significant resonant amplification of certain modes, leaving its imprint not only in the particle spectrum but also in the total number density of created particles.

Related papers

• Longitudinal Momentum Spectra of pair created in a pulsed field at finite times: Are Oscillations "Real" [0.0]
  We analytically compute the probability of $(e+ e-) $pair production in momentum space. We compare the result with quantum kinetic theory (QKT) Both approaches allow us to study the particle momentum spectrum at any instant in time.
  arXiv  Detail & Related papers  (2024-05-05T14:28:05Z)
• Quantum electrodynamics of lossy magnetodielectric samples in vacuum: modified Langevin noise formalism [55.2480439325792]
  We analytically derive the modified Langevin noise formalism from the established canonical quantization of the electromagnetic field in macroscopic media. We prove that each of the two field parts can be expressed in term of particular bosonic operators, which in turn diagonalize the electromagnetic Hamiltonian.
  arXiv  Detail & Related papers  (2024-04-07T14:37:04Z)
• Antiparticles in non-relativistic quantum mechanics [55.2480439325792]
  Non-relativistic quantum mechanics was originally formulated to describe particles. We show how the concept of antiparticles can and should be introduced in the non-relativistic case without appealing to quantum field theory.
  arXiv  Detail & Related papers  (2024-04-02T09:16:18Z)
• A non-hermitean momentum operator for the particle in a box [49.1574468325115]
  We show how to construct the corresponding hermitean Hamiltonian for the infinite as well as concrete example. The resulting Hilbert space can be decomposed into a physical and unphysical subspace.
  arXiv  Detail & Related papers  (2024-03-20T12:51:58Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Spectral response of disorder-free localized lattice gauge theories [0.22940141855172028]
  We show that certain lattice gauge theories exhibiting disorder-free localization have a characteristic response in spatially averaged spectral functions. We also show that local spectral functions of large finite clusters host discrete peaks whose positions agree with our analytical estimates.
  arXiv  Detail & Related papers  (2022-11-25T19:00:01Z)
• A covariant non-local phase field model of Bohm's potential [0.0]
  Bohm's quantum potential and the Madelung equations are obtained, showing explicitly that some of the hypotheses that led to the formulationb of quantum mechanics do admit a classical interpretation based on non-locality.
  arXiv  Detail & Related papers  (2022-02-03T11:30:54Z)
• A non local phase field model of Bohm's quantum potential [0.0]
  Bohm's quantum potential and the Madelung equation are identically obtained. Some of the hypotheses that led to the formulation of quantum mechanics admit a classical interpretation based on non-locality.
  arXiv  Detail & Related papers  (2021-03-04T17:07:40Z)
• Quantum particle across Grushin singularity [77.34726150561087]
  We study the phenomenon of transmission across the singularity that separates the two half-cylinders. All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection. This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
  arXiv  Detail & Related papers  (2020-11-27T12:53:23Z)
• The role of boundary conditions in quantum computations of scattering observables [58.720142291102135]
  Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution. As with present-day calculations, quantum computation strategies still require the restriction to a finite system size. We quantify the volume effects for various $1+1$D Minkowski-signature quantities and show that these can be a significant source of systematic uncertainty.
  arXiv  Detail & Related papers  (2020-07-01T17:43:11Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.