Synchronizing quantum and classical clocks made of quantum particles

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 in Phys. Rev. A 80, 030102(R) (2009), can be eliminated up to a given order of by choosing an appropriate position-dependent phase for the object's wave-function 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 wave-function with the use of an impulsive potential.

Relativistic free motion time of arrival operator for massive spin-0 particles with positive energy

“…This implies that the particle may be either delayed or advanced depending on the initial wavepacket ϕ(q). The effect of these quantum correction terms may be minimized up to an arbitrary order of by imprinting an appropriate position-dependent phase on the initial wavefunction [19,20].…”

“…One of us has shown that Pauli has made some implicit assumptions and that these were inconsistent [8]. This opens up an avenue to still consider TOA as an observable in standard quantum mechanics [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. Moreover, it was discussed in Ref.…”