Loschmidt echo and Berry phase around degeneracies in nonlinear systems

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.

• Publication year

  2008

• Venue

  Physical Review A

• Publication date

  2008-03-21

• Fields of study

  Physics

• Identifiers
  DOI 10.1103/PhysRevA.77.052115arXiv 0803.3148
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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