Time-dependent exchange and tunneling: detection at the same place of two electrons emitted simultaneously from different sources.

作者: D Marian , E Colomés , X Oriols

DOI: 10.1088/0953-8984/27/24/245302

关键词: Quantum tunnellingHamiltonian (quantum mechanics)Wave packetQuantum mechanicsScatteringExchange interactionElectronSlater determinantMesoscopic physicsPhysics

摘要: Two-particle scattering probabilities in tunneling scenarios with exchange interaction are analyzed quasi-particle wave packets. Two initial one-particle packets (with opposite central momentums) spatially localized at each side of a barrier. After impinging upon barrier, packet splits into transmitted and reflected components. When the two-particle anti-symmetrical state is defined as Slater determinant any type (normalizable) packet, it shown that probability detecting two (identically injected) electrons same barrier different from zero very common (single or double barrier) scenarios. In some particular scenarios, components become orthogonal mentioned reproduce those values associated to distinguishable particles. These unexpected non-zero still present when non-separable Coulomb non-symmetrical potentials considered. On other hand, for close Hamiltonian eigenstates, usual found literature recovered. The generalization many-particle low high phase-space density also analyzed. far-reaching consequences these accurate evaluation quantum noise mesoscopic systems briefly indicated.

参考文章(42)
R. C. Liu, B. Odom, Y. Yamamoto, S. Tarucha, Quantum interference in electron collision Nature. ,vol. 391, pp. 263- 265 ,(1998) , 10.1038/34611
Giorgos Fagas, Paul Delaney, James C. Greer, Independent particle descriptions of tunneling using the many-body quantum transport approach Physical Review B. ,vol. 73, pp. 241314- ,(2006) , 10.1103/PHYSREVB.73.241314
M.A.L. Marques, N.T. Maitra, F.M.S. Nogueira, E.K.U. Gross, A. (Eds.) Rubio, Fundamentals of time-dependent density functional theory Lecture Notes in Physics. ,vol. 837, pp. 1- 559 ,(2012) , 10.1007/978-3-642-23518-4
M. Büttiker, Bunches of Photons--Antibunches of Electrons Science. ,vol. 284, pp. 275- 276 ,(1999) , 10.1126/SCIENCE.284.5412.275
H. Feldmeier, K. Bieler, J. Schnack, Fermionic molecular dynamics for ground states and collisions of nuclei Nuclear Physics. ,vol. 586, pp. 493- 532 ,(1995) , 10.1016/0375-9474(94)00792-L
X. Oriols, D. K. Ferry, Quantum transport beyond DC Journal of Computational Electronics. ,vol. 12, pp. 317- 330 ,(2013) , 10.1007/S10825-013-0461-Z
M. Saraceno, P. Kramer, F. Fernandez, Time-dependent variational description of αα scattering☆ Nuclear Physics. ,vol. 405, pp. 88- 108 ,(1983) , 10.1016/0375-9474(83)90325-1
C. Schonenberger, Two Indistinguishable Electrons Interfere in an Electronic Device Science. ,vol. 339, pp. 1041- 1042 ,(2013) , 10.1126/SCIENCE.1234199