Geometric vector potentials from nonadiabatic spin dynamics

Nonadiabatic Ponderomotive Potentials

Fast magnetic field manipulations and nonadiabatic geometric phases of nitrogen-vacancy center spin in diamond

Fast quantum spin manipulation is needed to design spin-based quantum logic gates and other quantum applications. Here, we construct exact evolution operator of the nitrogen-vacancy-center (NV) spin in diamond under external magnetic fields and investigate the nonadiabatic geometric phases, both cyclic and non-cyclic, in these fast-manipulated NV spin systems. It is believed that the nonadiabat...

Nonadiabatic geometric quantum computation with trapped ions

Xin-Qi Li, Li-Xiang Cen, Guoxiang Huang, Lei Ma, and YiJing Yan National Laboratory for Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, P.O. Box 912, Beijing 100083, China Key Laboratory for Optical and Magnetic Resonance Spectroscopy, and Department of Physics, East China Normal University, Shanghai 200062, China Department of Chemistry, Hong Kong U...

Nonadiabatic Geometric Phase in Quaternionic Hilbert Space

We develop the theory of the nonadiabatic geometric phase, in both the Abelian and non-Abelian cases, in quaternionic Hilbert space.

Nonadiabatic conditional geometric phase shift with NMR.

A conditional geometric phase shift gate, which is fault tolerant to certain types of errors due to its geometric nature, was realized recently via nuclear magnetic resonance (NMR) under adiabatic conditions. However, in quantum computation, everything must be completed within the decoherence time. The adiabatic condition makes any fast conditional Berry phase (cyclic adiabatic geometric phase)...