Non-Adiabatic Geometric Phase in a Dispersive Interaction System

Jing Yang, Junqi Ge

J. Anandan

Ji-Bing Liu, Jiahua Li, Xin‐You Lü +1 more

We investigate the geometric phase and dynamic phase of a two-level fermionic system with dispersive interaction, driven by a quantized bosonic field which is simultaneously subjected to parametric amplification. It is found that the geometric phase is induced by a counterpart of the Stark shift. This effect is due to distinct shifts in the field frequency induced by interaction between different states (| e ⟩ and | g ⟩) and cavity field, and a simple geometric interpretation of this phenomenon is given, which is helpful to understand the natural origin of the geometric phase.

Jérémie Boulanger, Nicolas Le Bihan, Stéfan Catheline +1 more

We report the experimental observation ofageometricphase for elastic wavesin awaveguidewith helicalshape. Thesetup reproducestheexperimentbyTomita and Chiao (Phys. Rev. Lett. 57, 1986) that showed first evidence of a Berry phase, a geometric phase for adiabatic time evolution, in optics. Experimental evidence of non-adiabatic geometric has been reported in quantum mechanics. We have performed an experiment to observe the polarization transport of classical elastic waves. In a waveguide, these waves are polarized and dispersive. Whereas the wavelength is of the same order of magnitude as the helix ’ radius, no frequency dependent correction is necessary to account for the theoretical prediction. This shows that in this regime, the geometric phase results directly from geometry and not from a correction to an adiabatic phase. 1.

Albert Benseny, Anthony Kiely, Yongping Zhang +2 more

Ijaz Durrani