%0 Journal Article
%J Phys. Rev. A
%D 2012
%T Need for relativistic corrections in the analysis of spatial adiabatic passage of matter waves
%A A. Benseny
%A J. Bagudà
%A X. Oriols
%A J. Mompart
%X We investigate the coherent transport of a single particle and a Bose-Einstein condensate between the two extreme traps of a triple-well potential by means of the spatial adiabatic passage technique. This matter wave transport technique consists of adiabatically following an energy eigenstate of the system that only populates the vibrational ground states of the two extreme wells and presents at all times a node in the central region. Unraveling the (nonlinear) time-dependent Schrödinger equation in terms of Bohmian quantum trajectories, we show that by slowing down the total time duration of the transport process, Bohmian velocities in the central region are orders of magnitude larger than the mean atomic velocities. This leads to a very counterintuitive effect: in the regime of almost perfect adiabaticity, these velocities require relativistic corrections to properly address the transfer process and avoid superluminal propagation.
%B Phys. Rev. A
%I American Physical Society
%V 85
%P 053619
%8 05/2012
%U http://link.aps.org/doi/10.1103/PhysRevA.85.053619
%) http://arxiv.org/abs/1107.4276
%R 10.1103/PhysRevA.85.053619
%0 Journal Article
%J Phys. Rev. A
%D 2010
%T Atomtronics with holes: Coherent transport of an empty site in a triple-well potential
%A A. Benseny
%A S. Fernández-Vidal
%A J. Bagudà
%A R. Corbalán
%A A. Picón
%A L. Roso
%A G. Birkl
%A J. Mompart
%X We investigate arrays of three traps with two fermionic or bosonic atoms. The tunneling interaction between neighboring sites is used to prepare multisite dark states for the empty site (i.e., the hole) which allows for the coherent manipulation of its external degrees of freedom. By means of an ab initio integration of the Schrödinger equation, we investigate the adiabatic transport of a hole between the two extreme traps of a triple-well potential. Furthermore, a quantum-trajectory approach based on the de Broglie–Bohm formulation of quantum mechanics is used to get physical insight into the transport process. Finally, we discuss the use of the hole for the construction of a coherent single hole diode and a coherent single hole transistor.
%B Phys. Rev. A
%I American Physical Society
%V 82
%P 013604
%8 Jul
%U http://link.aps.org/doi/10.1103/PhysRevA.82.013604
%R 10.1103/PhysRevA.82.013604