Testing CPT violation, entanglement and gravitational interactions in particle mixing with trapped ions

Antonio Capolupo,Aniello Quaranta,Salvatore Marco Giampaolo

doi:10.1140/epjc/s10052-021-09194-6

Antonio Capolupo, Aniello Quaranta + Show 1 more

Open Access

https://doi.org/10.1140/epjc/s10052-021-09194-6

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Abstract

By analyzing the analogies between the effective system of N spins described by the Ising Hamiltonian and the phenomenon of the self-gravity in mixed particle systems, we show that cooled ions held in a segmented ion trap and exposed to a magnetic field gradient can simulate the proposed mechanism of mutual interaction in mixed neutrino system. We show that with trapped ions one can reproduce the expected corrections to the flavor transitions and the CPT violation induced by gravity on flavor fields, which may have played an important role in the early stages of the universe. The results presented are experimentally testable.

Highlights

Nos have been analyzed [27]
By analyzing the analogies between the effective system of N spins described by the Ising Hamiltonian and the phenomenon of the self-gravity in mixed particle systems, we show that cooled ions held in a segmented ion trap and exposed to a magnetic field gradient can simulate the proposed mechanism of mutual interaction in mixed neutrino system
We show that with trapped ions one can reproduce the expected corrections to the flavor transitions and the C P T violation induced by gravity on flavor fields, which may have played an important role in the early stages of the universe

Summary

Introduction

Another thriving field of research is represented by the study of trapped ions. We show that trapped ions can simulate the gravity effect on mixed neutral particles and reproduce, in table top experiments, analogues of phenomena that may have characterized the first stages of the evolution of the Universe. In that paper, it has been studied an ensemble of N mixed self-interacting neutral particles as a closed system and it has been shown that the self-gravity effects induce a C P T violation and a modification of the oscillation formulae for systems like neutrinos. We consider different interaction potentials and we analyze the oscillation formulae and the T -symmetry violation for traps loaded with 4, 6 and 8 ions.

Oscillations of N interacting particles

Trapped ions as gravitationally interacting particles

Conclusions