Geometric Phase for Analytically Solvable Driven Time-Dependent Two-Level Quantum Systems
Istok P. Mendaš, Nikola Burić, Duska B Popovic, Slobodan Prvanović, Milan Radonjić · Acta Physica Polonica A · 2014
Geometric phase for novel analytical solutions (Barnes and Das Sarma) of time-dependent two-level quantum systems is discussed, specically for a general single-axis driving term, which is represented by a function J(t) in the Hamiltonian, and its corresponding evolution operator.It is demonstrated how general results for corresponding phases (total, dynamic and geometric) can be obtained.Using a specic case, it was found that over time in which the driving eld is appreciably dierent from zero, the corresponding geometric phase changes (in the specic example by ∆β ≈ 0.8 radians) thus enabling detection.The results are relevant to qubit control and to quantum computing applications.