Quantum quench dynamics of Berry and Uhlmann phases in topological systems

We study the time evolution of geometric phases of one-dimensional topological models under the quench dynamics. Taking the Creutz ladder model as an example, it is found that the Berry phase is fixed as the parameter is suddenly tuned across the topological phase boundary, given that the inversion symmetry of the model is preserved. At finite temperature, the Uhlmann phase displays abrupt jumps between the two quantized values, which indicates the topological transition at certain times after the quench. Both the Berry and Uhlmann phase will deviate from quantized values if the inversion symmetry if the model is broken.

Automated summary

This study investigates the time evolution of geometric phases in one-dimensional topological models under quench dynamics. It is found that the Berry phase remains fixed when the parameter suddenly crosses the topological phase boundary, as long as the inversion symmetry of the model is preserved. At finite temperature, the Uhlmann phase exhibits abrupt jumps between two quantized values, indicating topological transitions at certain times after the quench. Both the Berry and Uhlmann phases deviate from quantized values if the inversion symmetry of the model is broken.