Experimental test of the third quantization of the electromagnetic field

• URL: http://arxiv.org/abs/2201.06611v2
• Date: Wed, 27 Jul 2022 15:45:37 GMT
• Title: Experimental test of the third quantization of the electromagnetic field
• Authors: J.D. Franson
• Abstract summary: An approach was recently introduced in which the wave function $smallpsi_j(x_j)$ was further quantized to produce a field operator $smallhat psi_j(x_j)$. Here we report the results of an optical scattering experiment that set an upper bound of $smallgammaleq 1.93 times 10-4$ at the 99% confidence level.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Each mode $\small{j}$ of the electromagnetic field is mathematically equivalent to a harmonic oscillator described by a wave function $\small{\psi_j(x_j)}$ in the quadrature representation. An approach was recently introduced in which the wave function $\small{\psi_j(x_j)}$ was further quantized to produce a field operator $\small{{\hat \psi}_j(x_j)}$ [J.D. Franson, Phys. Rev. A 104, 063702 (2021)]. This approach allows a generalization of quantum optics and quantum electrodynamics based on an unknown mixing angle $\small{\gamma}$ that is somewhat analogous to the Cabibbo angle or the Weinberg angle. The theory is equivalent to conventional quantum electrodynamics if $\small{\gamma=0}$, while it predicts a new form of inelastic photon scattering if $\small{\gamma\neq0}$. Here we report the results of an optical scattering experiment that set an upper bound of $\small{\gamma\leq 1.93 \times 10^{-4}}$ at the 99% confidence level, provided that the particles created by the field operator $\small{{\hat \psi}_j(x_j)}$ have negligible mass. High-energy experiments would be required to test the theory if the mass of these particles is very large.

Related papers

• Slow Mixing of Quantum Gibbs Samplers [47.373245682678515]
  We present a quantum generalization of these tools through a generic bottleneck lemma. This lemma focuses on quantum measures of distance, analogous to the classical Hamming distance but rooted in uniquely quantum principles. Even with sublinear barriers, we use Feynman-Kac techniques to lift classical to quantum ones establishing tight lower bound $T_mathrmmix = 2Omega(nalpha)$.
  arXiv  Detail & Related papers  (2024-11-06T22:51:27Z)
• Klein-Gordon oscillators and Bergman spaces [55.2480439325792]
  We consider classical and quantum dynamics of relativistic oscillator in Minkowski space $mathbbR3,1$. The general solution of this model is given by functions from the weighted Bergman space of square-integrable holomorphic (for particles) and antiholomorphic functions on the K"ahler-Einstein manifold $Z_6$.
  arXiv  Detail & Related papers  (2024-05-23T09:20:56Z)
• Towards the "puzzle" of Chromium dimer Cr$_2$: predicting the Born-Oppenheimer rovibrational spectrum [44.99833362998488]
  This paper calculates the potential energy curve for the state $X1Sigma+$ of the Cr$$$ dimer. It is found for the first time for the whole range of internuclear distances $R$.
  arXiv  Detail & Related papers  (2024-01-06T17:00:12Z)
• Small-time controllability for the nonlinear Schr\"odinger equation on $\mathbb{R}^N$ via bilinear electromagnetic fields [55.2480439325792]
  We address the small-time controllability problem for a nonlinear Schr"odinger equation (NLS) on $mathbbRN$ in the presence of magnetic and electric external fields. In detail, we study when it is possible to control the dynamics of (NLS) as fast as desired via sufficiently large control signals.
  arXiv  Detail & Related papers  (2023-07-28T21:30:44Z)
• Spatial Wavefunctions of Spin [0.0]
  We present an alternative formulation of quantum mechanical angular momentum. The wavefunctions are Wigner D-functions, $D_n ms (phi, theta, chi)$. Some implications of the quantum number $n$ for fundamental particles are discussed.
  arXiv  Detail & Related papers  (2023-07-25T15:48:56Z)
• Existence of quantum states for Klein-Gordon particles based on exact and approximate scenarios with pseudo-dot spherical confinement [0.0]
  It is shown how confluent hypergeometric functions have principal quantum numbers for considered spatial confinement. The findings related to the relativistic eigenvalues of the Klein-Gordon particle moving spherical space show the dependence of mass distribution.
  arXiv  Detail & Related papers  (2023-07-11T15:09:56Z)
• Significance of classically forbidden regions for short baseline neutrino experiments [0.0]
  We show that in the context of neutrino oscillations these observations have the potential to resolve various short baseline anomalies for a sufficiently light lowest mass eigenstate. We make a concrete prediction for the upcoming results to be announced later this year by JSNS$2$.
  arXiv  Detail & Related papers  (2023-04-13T13:31:38Z)
• Theory of free fermions under random projective measurements [43.04146484262759]
  We develop an analytical approach to the study of one-dimensional free fermions subject to random projective measurements of local site occupation numbers. We derive a non-linear sigma model (NLSM) as an effective field theory of the problem.
  arXiv  Detail & Related papers  (2023-04-06T15:19:33Z)
• On parametric resonance in the laser action [91.3755431537592]
  We consider the selfconsistent semiclassical Maxwell--Schr"odinger system for the solid state laser. We introduce the corresponding Poincar'e map $P$ and consider the differential $DP(Y0)$ at suitable stationary state $Y0$.
  arXiv  Detail & Related papers  (2022-08-22T09:43:57Z)
• Electric Field Decay Without Pair Production: Lattice, Bosonization and Novel Worldline Instantons [0.0]
  We study the quantum evolution of electric fields when the field points in a compact direction with circumference $L d$ using the massive Schwinger model. We uncover a new and previously unknown set of instantons that result in novel physics that disagrees with all previous estimates.
  arXiv  Detail & Related papers  (2021-07-09T17:26:39Z)
• Ab initio properties of the NaLi molecule in the $a^3\Sigma^+$ electronic state [0.0]
  We calculate the electronic and rovibrational structure of ultracold polar and magnetic molecules with spectroscopic accuracy. We show that quantum chemistry methods are capable of predicting scattering properties of manyelectron systems.
  arXiv  Detail & Related papers  (2020-03-26T17:39:46Z)

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.