Study of Entangled K-meson and Its Decoherence

Abstract

In this paper, entangled K-meson model and decoherence phenomenon in thesystem is studied. Using Lindblad equation, dynamical equation of entangled K-meson systemthat interacts with the environment is obtained. We find that non-Hermitian Hamiltonian ofthe system makes completely positive and trace-preserving map (CPT-map) on the space ofdensity matrix does not satisfy trace preserving properties. We also find that purity of densitymatrix can be less than 1=d which does not satisfy the property of purity. From the dynamicalequation, parameters related to the decoherence of the system, decoherence parameter (λ) andeffective decoherence parameter (ζ), are determined. Using Standard Least-Squares method,we obtain ζ = 0; 13±0; 865. This result is in accordance with references result that use effectivevariance method, ζ = 0; 13±+0 -0;;16 15. We show that ζ = 0; 13±+0 -0;;16 15 corresponds with referencesresult, λ = (1; 84±+2 -2;;50 17) × 10-12 MeV. The value of both parameters are close to zero relativeto ζ = 1 or λ ! 1. It means that the interaction between system and environment doesnot affect the system significantly. Therefore, quantum properties in the system related to theentanglement of the strangeness is preserved.

Exploring Strange Entanglement: Experimental and Theoretical Perspectives on Neutral Kaon Systems

“…Apparently, the value of ζ ¼ 0 represents pure quantum mechanics and ζ ¼ 1 corresponds to complete decoherence or spontaneous factorization of the wave function (Schrödinger-Furry hypothesis). By means of standard least squares method [45,46], ζ ¼ 0:13 AE 0:865 is obtained in [31], which is in agreement with the results obtained from the effective variance method, where ζ ¼ 0:13 þ0:16 À0:15 [47,48] correspondent to λ ¼ 1:84 À2:17 þ2:50…”

“…Exploring the factors that could potentially lead to decoherence of entangled kaons is of high importance [21,[28][29][30][31]. Besides, the decoherence allows us to gather insights into the quality of the entangled state.…”

“…The purity expresses a measure of quantum states and provides information regarding the degree of mixture in a given state. Here, the purity of ρ t ðÞ is [31],…”