Pseudo-two-particle physics from single-electron sources

Michael V. Moskalets

Monday, 10 October 2011, 13:30
Matfys library

We analyze the Aharonov-Bohm (AB) oscillations due to electrons injected from two single-electron sources, S1 and S2, into a Mach-Zehnder interferometer with magnetic flux F. The source S1 injects electrons into one of the interferometer's inputs while the source S2 can inject electrons either being directly attached to one of the interferometer's arms or into additional electron wave-guide coupled to the interferometer's arm. The current I due to electrons from S1 shows the AB effect while the current from S2 does not. We analyze the effect of S2 onto the AB oscillations of a current from S1, I(F). This effect does exist if only the current pulses from S1 and S2 arrive at the interferometer's output at the same time. We found that the presence of S2 does not destroy the AB oscillations of a current from S1 however it produces a phase shift dfi, I(F+dfi). Therefore, the electrons remain phase coherent, i.e., able to behave like waves. Unexpectedly we found that the current integrated over time, i.e., the charge detected, does not show the AB effect provided that the current pulses from S1 and S2 do collide at the interferometer's output if S2 is directly coupled to the interferometer. The ability to collide stresses a particle-like nature of electrons. Therefore, within the same experimental set-up one can demonstrate both a wave and a particle behavior of electrons. The AB effect in the DC heat flow and in the partition noise are analyzed as well.