Local Neumann semitransparent layers: resummation, pair production and duality

• URL: http://arxiv.org/abs/2208.07383v1
• Date: Mon, 15 Aug 2022 18:00:18 GMT
• Title: Local Neumann semitransparent layers: resummation, pair production and duality
• Authors: N. Ahmadiniaz, S. A. Franchino-Vi\~nas, L. Manzo, F. D. Mazzitelli
• Abstract summary: We consider local semitransparent Neumann boundary conditions for a quantum scalar field. We interpret the effective action as a theory in a first-quantized phase space. We prove the existence of a strong/weak duality that links this Neumann field theory to the analogue Dirichlet one.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider local semitransparent Neumann boundary conditions for a quantum scalar field as imposed by a quadratic coupling to a source localized on a flat codimension-one surface. Upon a proper regularization to give meaning to the interaction, we interpret the effective action as a theory in a first-quantized phase space. We compute the relevant heat-kernel to all order in a homogeneous background and to quadratic order in perturbations, giving a closed expression for the corresponding effective action in $D=4$. In the dynamical case, we analyze the pair production caused by a harmonic perturbation and by a Sauter pulse. Notably, we prove the existence of a strong/weak duality that links this Neumann field theory to the analogue Dirichlet one.

Related papers

• 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)
• Effective field theory of particle mixing [10.985518406776766]
  We study emphindirect mixing of two fields induced by their couplings to a common decay channel in a medium. The analysis reveals subtle caveats in the description of mixing in terms of the widely used non-Hermitian effective Hamiltonian.
  arXiv  Detail & Related papers  (2023-10-26T00:23:34Z)
• Decoherence and entropy generation at one loop in the inflationary de Sitter spacetime for Yukawa interaction [2.9849762483081275]
  We extend previous analysis on decoherence in a fermion and scalar quantum field theory. We use a non-equilibrium effective field theory formalism, suitable for open quantum systems such as this. Our result is qualitatively similar to an earlier one found by using the influence functional technique for a massive Yukawa theory.
  arXiv  Detail & Related papers  (2023-07-25T12:14:19Z)
• Stability and decoherence rates of a GKP qubit protected by dissipation [0.0]
  We give explicit upper bounds for the energy of the solutions of the Lindblad master equation. We show that the evolution of the Bloch sphere coordinates of a logical qubit is exponentially slow even in presence of small diffusive noise processes.
  arXiv  Detail & Related papers  (2023-04-07T18:21:27Z)
• Survey of the Hierarchical Equations of Motion in Tensor-Train format for non-Markovian quantum dynamics [0.0]
  This work is a survey about the hierarchical equations of motion and their implementation with the tensor-train format. We recall the link with the perturbative second order time convolution equations also known as the Bloch-Redfield equations. The main points of the tensor-train expansion are illustrated in an example with a qubit interacting with a bath described by a Lorentzian spectral density.
  arXiv  Detail & Related papers  (2023-03-08T14:21:43Z)
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue [68.8204255655161]
  We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime. We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
  arXiv  Detail & Related papers  (2022-12-02T18:28:23Z)
• Convex Analysis of the Mean Field Langevin Dynamics [49.66486092259375]
  convergence rate analysis of the mean field Langevin dynamics is presented. $p_q$ associated with the dynamics allows us to develop a convergence theory parallel to classical results in convex optimization.
  arXiv  Detail & Related papers  (2022-01-25T17:13:56Z)
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness [68.8204255655161]
  We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
  arXiv  Detail & Related papers  (2021-10-27T15:27:54Z)
• Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
  Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
  arXiv  Detail & Related papers  (2021-07-23T07:30:57Z)
• Lifting the Convex Conjugate in Lagrangian Relaxations: A Tractable Approach for Continuous Markov Random Fields [53.31927549039624]
  We show that a piecewise discretization preserves better contrast from existing discretization problems. We apply this theory to the problem of matching two images.
  arXiv  Detail & Related papers  (2021-07-13T12:31:06Z)
• Bosonic Quantum Dynamics Following Colliding Potential Wells [0.0]
  We investigate the correlated non-equilibrium quantum dynamics of two bosons confined in two colliding and uniformly accelerated Gaussian wells. Despite the comparatively weak interaction strengths employed in this work, we identify strong inter-particle correlations by analyzing the corresponding Von Neumann entropy.
  arXiv  Detail & Related papers  (2021-02-02T14:59:08Z)

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.