Related papers: Investigation of the enhancement factor in the regime of semi-Poisson statistics in a singular microwave cavity

Investigation of the enhancement factor in the regime of semi-Poisson statistics in a singular microwave cavity

URL: http://arxiv.org/abs/2301.07214v1
Date: Tue, 17 Jan 2023 22:33:49 GMT
Title: Investigation of the enhancement factor in the regime of semi-Poisson statistics in a singular microwave cavity
Authors: Ma{\l}gorzata Bia{\l}ous and Leszek Sirko
Abstract summary: A singular billiard was simulated experimentally by a rectangular microwave flat resonator coupled to microwave power via wire antennas. The departure from regularity was quantitatively estimated by the short-range plasma model. We show that in the regime of semi-Poisson statistics the experimental power spectrum and the second nearest-neighbor spacing distribution $P(2,s)$ are in good agreement with their theoretical predictions.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We investigated properties of a singular billiard, that is, a quantum billiard which contains a pointlike (zero-range) perturbation. A singular billiard was simulated experimentally by a rectangular microwave flat resonator coupled to microwave power via wire antennas which act as singular scatterers. The departure from regularity was quantitatively estimated by the short-range plasma model in which the parameter $\eta$ takes the values $1$ and $2$ for the Poisson and semi-Poisson statistics, respectively. We show that in the regime of semi-Poisson statistics the experimental power spectrum and the second nearest-neighbor spacing distribution $P(2,s)$ are in good agreement with their theoretical predictions. Furthermore, the measurement of the two-port scattering matrix allowed us to evaluate experimentally the enhancement factor $F(\gamma^{tot})$ in the regime of the semi-Poisson statistics as a function of the total absorption factor $\gamma^{tot}$. The experimental results were compared with the analytical formula for $F(\gamma^{tot})$ evaluated in this article. The agreement between the experiment and theory is good.

Related papers

Tripartite entanglement from experimental data: $B^0\to K^{*0}μ^+μ^-$ as a case study [49.1574468325115]
We develop an angular analysis based on the reconstruction of the helicity amplitudes from dedicated experimental data corresponding to the tripartite state composed by one qutrit and two qubits. As an application of our analysis, we performed a full quantum tomography of the final state in the $B0to K*0mu+mu-$ decays using data recorded by LHCb collaboration.
arXiv Detail & Related papers (2024-09-19T18:10:14Z)
Coupled unidirectional chaotic microwave graphs [0.0]
We investigate the undirected open microwave network $Gamma absorption with internal composed of two coupled directed halves. The two-port scattering matrix of the network $Gamma$ is measured and the spectral statistics and the elastic enhancement factor of the network are evaluated.
arXiv Detail & Related papers (2024-09-05T13:00:25Z)
Flow matching achieves almost minimax optimal convergence [50.38891696297888]
Flow matching (FM) has gained significant attention as a simulation-free generative model. This paper discusses the convergence properties of FM for large sample size under the $p$-Wasserstein distance. We establish that FM can achieve an almost minimax optimal convergence rate for $1 leq p leq 2$, presenting the first theoretical evidence that FM can reach convergence rates comparable to those of diffusion models.
arXiv Detail & Related papers (2024-05-31T14:54:51Z)
Quantum-critical properties of the one- and two-dimensional random transverse-field Ising model from large-scale quantum Monte Carlo simulations [0.0]
We study the ferromagnetic transverse-field Ising model with quenched disorder at $T = 0$ in one and two dimensions. The emphasis on effective zero-temperature simulations resolves several inconsistencies in existing literature.
arXiv Detail & Related papers (2024-03-08T11:20:42Z)
Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model [44.84660857803376]
We study level pairings in the many-body spectrum of the random-field Floquet quantum Ising model. The robustness of $pi$ pairings against longitudinal disorder may be useful for quantum information processing.
arXiv Detail & Related papers (2024-01-09T20:37:48Z)
Theory of free fermions dynamics under partial post-selected monitoring [49.1574468325115]
We derive a partial post-selected Schrdinger"o equation based on a microscopic description of continuous weak measurement. We show that the passage to the monitored universality occurs abruptly at finite partial post-selection. Our approach establishes a way to study MiPTs for arbitrary subsets of quantum trajectories.
arXiv Detail & Related papers (2023-12-21T16:53:42Z)
Effective-medium approach to the resonance distribution of wave scattering in a random point field [0.0]
Distribution of resonance poles in the complex plane of the wavenumber $k$ associated to the scattering of a quantum particle was numerically discovered. This paper proposes a theoretical study based on wave transport theory to explain the origin of these structures and to predict their distribution in the complex $k$ plane.
arXiv Detail & Related papers (2023-09-01T15:50:26Z)
Missing levels in intermediate spectra [0.0]
We derive an expression for the nearest-neighbor spacing distribution $P(s)$ of the energy levels of quantum systems with intermediate dynamics between regularity and chaos and missing levels due to random experimental errors. The expression is based on the Brody distribution, the most widely used for fitting mixed spectra as a function of one parameter.
arXiv Detail & Related papers (2023-06-02T13:12:12Z)
Modeling the space-time correlation of pulsed twin beams [68.8204255655161]
Entangled twin-beams generated by parametric down-conversion are among the favorite sources for imaging-oriented applications. We propose a semi-analytic model which aims to bridge the gap between time-consuming numerical simulations and the unrealistic plane-wave pump theory.
arXiv Detail & Related papers (2023-01-18T11:29:49Z)
Computing quantum correlation functions by Importance Sampling method based on path integrals [0.0]
An importance sampling method based on Generalized Feynman-Kac method has been used to calculate the mean values of quantum observables from quantum correlation functions. Although the initial results are encouarging, more experimentation will be needed to improve the other existing numerical results.
arXiv Detail & Related papers (2022-04-27T10:47:32Z)
$\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited vibrational state [77.34726150561087]
Triatomic molecule RaOH combines the advantages of laser-coolability and the spectrum with close opposite-parity doublets. We obtain the rovibrational wave functions of RaOH in the ground electronic state and excited vibrational state using the close-coupled equations derived from the adiabatic Hamiltonian.
arXiv Detail & Related papers (2020-12-15T17:08:33Z)

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