The quantum interference pattern in the double-slit experiment is qualitatively reproduced by using the entangled trajectory molecular dynamics method and compared with previous works. We compare entangled trajectory and classical trajectory with the same initial state in the phase space to show quantum effect in the evolution of trajectories. It is involved with breakdown in the statistical independence of the trajectories. Although our result does not agree well with exact quantum calculation in quantitatively with loss of part of interference pattern peaks, we can offer a reasonable explanation by analyzing quantum interference of two Gaussian wave packets in the phase space.The quantum interference pattern in the double-slit experiment is qualitatively reproduced by using the entangled trajectory molecular dynamics method and compared with previous works. We compare entangled trajectory and classical trajectory with the same initial state in the phase space to show quantum effect in the evolution of trajectories. It is involved with breakdown in the statistical independence of the trajectories. Although our result does not agree well with exact quantum calculation in quantitatively with loss of part of interference pattern peaks, we can offer a reasonable explanation by analyzing quantum interference of two Gaussian wave packets in the phase space.

Chinese Physics LettersAug 1, 20152 citations

Interference, reduced action, and trajectories

Edward R. Floyd

Instead of investigating the interference between two stationary, rectilinear wave functions in a trajectory representation by examining the trajectories of the two rectilinear wave functions individually, we examine a dichromatic wave function that is synthesized from the two interfering wave functions. The physics of interference is contained in the reduced action for the dichromatic wave function. As this reduced action is a generator of the motion for the dichromatic wave function, it determines the dichromatic wave function’s trajectory. The quantum effective mass renders insight into the behavior of the trajectory. The trajectory in turn renders insight into quantum nonlocality.Instead of investigating the interference between two stationary, rectilinear wave functions in a trajectory representation by examining the trajectories of the two rectilinear wave functions individually, we examine a dichromatic wave function that is synthesized from the two interfering wave functions. The physics of interference is contained in the reduced action for the dichromatic wave function. As this reduced action is a generator of the motion for the dichromatic wave function, it determines the dichromatic wave function’s trajectory. The quantum effective mass renders insight into the behavior of the trajectory. The trajectory in turn renders insight into quantum nonlocality.

Jan 1, 20065 citations

Waves and Trajectories

R. E. Johnson

Springer eBooksJan 1, 19820 citations

Interference effects

John Ewan Inglesfield

Physics EducationJul 1, 19770 citations

Fock state interference: A fast computation and an analytic treatment in the frameworkof the quantum trajectory theory

Young-Tak Chough

We investigate the interference of Fock state photons in terms of the quantum trajectory theory. We performed a fast simulation of the experiment with a million photons initially prepared. We show that the physics of the phenomenon is transparently understood through an analytic approach within the quantum trajectory formalism without actually going into the numerical study. We find that the visibility of the interference pattern is essentially given by ${\mathrm{V}}_{\mathrm{k}}$ =k/(k+1) at the kth photodetection. We review the phenomenon in connection with the historical discussions about interference between independent light sources.We investigate the interference of Fock state photons in terms of the quantum trajectory theory. We performed a fast simulation of the experiment with a million photons initially prepared. We show that the physics of the phenomenon is transparently understood through an analytic approach within the quantum trajectory formalism without actually going into the numerical study. We find that the visibility of the interference pattern is essentially given by ${\mathrm{V}}_{\mathrm{k}}$=k/(k+1) at the kth photodetection. We review the phenomenon in connection with the historical discussions about interference between independent light sources.

Physical Review AApr 1, 19978 citations

{\mathrm{V}}_{\mathrm{k}}

=k/(k+1) at the kth photodetection. We review the phenomenon in connection with the historical discussions about interference between independent light sources.