Geometric phase contribution to quantum non-equilibrium many-body dynamics

Details Geometric phase contribution to quantum non-equilibrium many-body dynamics Geometric phase contribution to quantum non-equilibrium many-body dynamics

2011-08-23

arxiv.org/abs/1108.4611v2

Phys. Rev. Lett. 108, 080404 (2012)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 3 figures. Added an appendix with supplementary information

Scientific paper

10.1103/PhysRevLett.108.080404

We study the influence of geometry of quantum systems underlying space of states on its quantum many-body dynamics. We observe an interplay between dynamical and topological ingredients of quantum non-equilibrium dynamics revealed by the geometrical structure of the quantum space of states. As a primary example we use the anisotropic XY ring in a transverse magnetic field with an additional time-dependent flux. In particular, if the flux insertion is slow, non-adiabatic transitions in the dynamics are dominated by the dynamical phase. In the opposite limit geometric phase strongly affects transition probabilities. We show that this interplay can lead to a non-equilibrium phase transition between these two regimes. We also analyze the effect of geometric phase on defect generation during crossing a quantum critical point.

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