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Transcript

BGU Two-path Interference with a Single Quantum Slit or Mirror Daniel Rohrlich, Yakov Neiman, Yonathan Japha, and Ron Folman Department of Physics and Ilze Katz Center for Meso- and Nanoscale Science, BGU, Israel Two path interference 2 Single particle superposition A single particle in a superposition of two locations is prepared in a double well potential and then the potential is turned off. The wavepackets expand and overlap after t=pMdw/h Initial state of probe+ Target: 3 Condition for interference: loss of orthogonality of target states After scattering: Final state: It final target states (left and right) remain orthogonal then there Is no interference! Final state is an entangled state. The phase a have no effect. 4 1D example: One-mirror Fabry-Perot In the special case M=m: pfin=Pin Transfer of orthogonality from target to probe 5 General solution for the 1D problem 6 Suppression of visibility If the initial probe momentum has a spread pin 2 The probe induces an effective coherence length on the target. 7 One-slit Young interference 8 Transfer of orthogonality Condition for full interference 9 pin / m sin in Pfin / M Angular spectrum of scattering M 1 m 2 in 45 10 Visibility as a function of M/m 11 Visibility as a function of pin 12 Summary and conclusions • Two-path interference by scattering off a single free quantum particle in a superposition of two locations is possible. • Interference is suppressed by initial momentum spread of the probe particle or by measurement precision. • Double slit interference from a single slit is possible when the mass of the target is comparable to the mass of the probe (or smaller). • The condition for interference is loss of orthogonality of the target states or equivalently purity of the probe state. 13