Loschmidt echo and Berry phase around degeneracies in nonlinear systems

Details Loschmidt echo and Berry phase around degeneracies in nonlinear systems Loschmidt echo and Berry phase around degeneracies in nonlinear systems

2008-03-21

arxiv.org/abs/0803.3148v1

Phys. Rev. A 77, 052115(2008).

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.77.052115

We study the Loschmidt echo and Berry phase in a nonlinear system transported around a double and triple degeneracy. The nonlinearity of the system makes the Berry phase different from that in linear systems. We propose a witness of nonlinearity for the nonlinear system and show its dependence on the parameters of the system, taking the standard Landau-Zener model as an example. We calculate the Loschmidt echo(LE) or quantum fidelity in the quantum dynamics under perturbations around the degeneracy, and establish a connection between the LE and the witness of nonlinearity. These phases and Loschmidt echo can be observed with current experimental technology in a nonlinear resonator.

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