D A Rodrigues et al 2004 J. Phys.: Condens. Matter 16 4477 doi:10.1088/0953-8984/16/25/008
D A Rodrigues1,3, B L Györffy1 and T P Spiller2
Show affiliationsWe consider an array of lb Cooper pair boxes, each of which is coupled to a superconducting reservoir by a capacitive tunnel junction. We discuss two effects that probe not just the quantum nature of the islands, but also of the superconducting reservoir coupled to them. These are analogues to the well-known quantum optical effects 'superradiance' and 'revival'. When revival is extended to multiple systems, we find that 'entanglement revival' can also be observed. In order to study the above effects, we utilize a highly simplified model for these systems in which all the single-electron energy eigenvalues are set to be the same (the strong coupling limit), as are the charging energies of the Cooper pair boxes, allowing the whole system to be represented by two coupled quantum spins, one finite, which represents the array of boxes, and one representing the reservoir, which we consider in the limit of infinite size. Although this simplification is drastic, the model retains the main features necessary to capture the phenomena of interest. Given the progress in superconducting box experiments over recent years, it is possible that experiments to investigate both of these interesting quantum coherent phenomena could be performed in the foreseeable future.
74.50.+r Tunneling phenomena; point contacts, weak links, Josephson effects
Issue 25 (30 June 2004)
Received 10 February 2004
Published 11 June 2004
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