Geometric phases of mixed states in trapped ions

Dharmaraj Ramachandran, Ganesh Hanchanahal, Radhika Vathsan

S. Chaturvedi, Elisa Ercolessi, Giuseppe Marmo +3 more

M. Scala, B. Militello, A. Messina

Lu Hong-Xia

The generalization of geometric phase from the pure states to the mixed states may have potential applications in constructing geometric quantum gates. We here investigate the mixed state geometric phases and visibilities of the trapped ion system in both non-degenerate and degenerate cases. In the proposed quantum system, the geometric phases are determined by the evolution time, the initial states of trapped ions, and the initial states of photons. Moreover, special periods are gained under which the geometric phases do not change with the initial states changing of photon parts in both non-degenerate and degenerate cases. The high detection efficiency in the ion trap system implies that the mixed state geometric phases proposed here can be easily tested.

Kazuo Fujikawa

Christophe H. Valahu, V. C. Olaya-Agudelo, Ryan J. MacDonell +6 more

We review our recent results in which we use trapped ions to observe geometric phase interference around a conical intersection [arXiv:2211.07320, 2022]. This is a key demonstration towards using mixed-qubit boson simulators to solve difficult chemical dynamics problems.