Related papers: Quantum coherence with generalized wave packets under Lorentz boost

Quantum coherence with generalized wave packets under Lorentz boost

URL: http://arxiv.org/abs/2407.06599v1
Date: Tue, 9 Jul 2024 07:02:45 GMT
Title: Quantum coherence with generalized wave packets under Lorentz boost
Authors: Arnab Mukherjee, Soham Sen, Sunandan Gangopadhyay,
Abstract summary: We consider a single particle, apin-momentum entangled state and measure the effect of relativistic boost on quantum coherence. The coherence of the wave function as measured by the boosted observer is studied as a function of the momentum and the boost parameter. A more prominent loss of coherence due to relativistic boost is observed for a single particle electron than that of a neutron.
Score: 0.10713888959520207
License: http://creativecommons.org/licenses/by/4.0/
Abstract: In this paper we consider a single particle, apin-momentum entangled state and measure the effect of relativistic boost on quantum coherence. The effect of the relativistic boost on single-particle generalized Gaussian wave packets is studied. The coherence of the wave function as measured by the boosted observer is studied as a function of the momentum and the boost parameter. Using various formulations of coherence, it is shown that in general the coherence decays with the increase in momentum of the state, as well as the boost applied to it. A more prominent loss of coherence due to relativistic boost is observed for a single particle electron than that of a neutron. The analysis is carried out with generalized Gaussian wave packet of the form $\sim p^n \exp(-\frac{p^2}{\sigma^2})$. We also obtain a bound on the unknown parameter $n$ appearing in the wave packet. It is found to have a dependence on the mass of the particle and the width of the Gaussian wave packet.

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