Synchronizing quantum and classical clocks made of quantum particles

TL;DR

This paper shows how to synchronize quantum and classical clocks by adjusting the quantum wavefunction's phase to eliminate quantum corrections to arrival time, enabling precise timekeeping alignment.

Contribution

It introduces a method to eliminate quantum corrections to arrival time through phase adjustment, facilitating synchronization of quantum and classical clocks.

Findings

Quantum corrections can be eliminated up to a certain order of  by phase adjustment.

A practical example demonstrates clock synchronization using a quantum object with an imprinted phase.

The method improves the alignment of quantum and classical time measurements.

Abstract

We demonstrate that the quantum corrections to the classical arrival time for a quantum object in a potential free region of space, as computed by Galapon [Phys. Rev. A {\bf 80}, 030102(R) (2009)], can be eliminated up to a given order of $\hbar$ by choosing an appropriate position-dependent phase for the object's wavefunction. This then implies that we can make the quantum arrival time of the object as close as possible to its corresponding classical arrival time, allowing us to synchronize a classical and quantum clock which tells time using the classical and quantum arrival time of the object, respectively. We provide an example for synchronizing such a clock by making use of a quantum object with a position-dependent phase imprinted on the object's initial wavefunction with the use of an impulsive potential.