Nonlinear quantum gates for a Bose-Einstein condensate

Abstract

Quantum interferometry and quantum information processing have been proposed for Bose-Einstein condensates (BECs), but BECs are described in complicated ways such as using quantum field theory or using a nonlinear differential equation. Nonlinear quantum mechanics does not mesh well with the superposition principle at the heart of interferometry and quantum information processing but could be compatible. Thus, we develop a rigorous foundation for quantum gates, obtained by solving the equation for evolution, and then we employ this foundation, combined with quantum-control techniques and appropriate state-sampling techniques, to devise feasible nonlinear Hadamard gates and thereby feasible, i.e., high-contrast, nonlinear Ramsey interferometry. Our approach to BEC interferometry and quantum logic shifts the paradigm by enlarging to the case of nonlinear quantum mechanics, which we apply to the cases of BEC interferometry and quantum information processing.

References in corpus (6)

• Atom Interferometers
• Radio-frequency dressed state potentials for neutral atoms
• Optimal quantum control of Bose Einstein condensates in magnetic microtraps
• Quasi-1D Bose-Einstein condensates in the dimensional crossover regime
• Nonlinear Schrödinger equation for a superfluid Fermi gas from BCS to Bose crossover
• Multi-layer atom chips for versatile atom micro manipulation