AharonovBohm type effects and the interference of macromolecules
Abstract
Given that it is now possible to observe the interference of molecules with comparatively numerous internal degrees of freedom, we might wonder what role these extra degrees of freedom play in the traditional doubleslit experiment. Here we seek to understand the effect of these degrees of freedom in an AharonovBohm type experiment. We find, perhaps unsurprisingly that an ionised object can exhibit the AharonovBohm effect in a manner which is independent of its internal structure. Meanwhile, the AharonovBohm type effects involving objects with magnetic, or electric dipole moments (the AharonovCasher and HeMcKellarWilkens effects, respectively) depend explicitly upon the structure. When—due to some specified dynamics of the internal variables—an object's dipole moment changes during the experiment, we find that the corresponding phase shift depends upon the time average and variance of the internal dynamics. Furthermore, given that the internal dynamics are, to an extent, dependent upon the centre of mass motion there is also a small, transient loss of coherence associated with each internal degree of freedom.
 Publication:

Transport and Optical Properties of Nanomaterials
 Pub Date:
 June 2009
 DOI:
 10.1063/1.3183452
 Bibcode:
 2009AIPC.1147..325H
 Keywords:

 73.21.La;
 61.05.cp;
 81.07.Bc;
 Quantum dots;
 Xray diffraction;
 Nanocrystalline materials