Controlled quantum stirring of Bose-Einstein condensates

Abstract

By cyclic adiabatic change of two control parameters of an optical trap one can induce a circulating current of condensed bosons. The amount of particles that are transported per period depends on the "radius" of the cycle, and this dependence can be utilized in order to probe the interatomic interactions. For strong repulsive interaction the current can be regarded as arising from a sequence of Landau-Zener crossings. For weaker interaction one observes either gradual or coherent mega crossings, while for attractive interaction the particles are glued together and behave like a classical ball. For the analysis we use the Kubo approach to quantum pumping with the associated Dirac monopoles picture of parameter space.

12 pages, 8 figures

References in corpus (6)

• Adiabatic Theory of Nonlinear Evolution of Quantum States
• Commutability between Semiclassical Limit and Adiabatic Limit
• Transporting, splitting and merging of atomic ensembles in a chip trap
• Engineering fidelity echoes in Bose-Hubbard Hamiltonians
• Control of atomic currents using a quantum stirring device
• Counting statistics in multiple path geometries and the fluctuations of the integrated current in a quantum stirring device