Encircling an Exceptional Point

Details Encircling an Exceptional Point Encircling an Exceptional Point

2004-02-11

arxiv.org/abs/nlin/0402015v1

Phys. Rev. E 69, 056216 (2004)

Nonlinear Sciences

Chaotic Dynamics

RevTex 4.0, four eps-figures (low resolution)

Scientific paper

10.1103/PhysRevE.69.056216

We calculate analytically the geometric phases that the eigenvectors of a parametric dissipative two-state system described by a complex symmetric Hamiltonian pick up when an exceptional point (EP) is encircled. An EP is a parameter setting where the two eigenvalues and the corresponding eigenvectors of the Hamiltonian coalesce. We show that it can be encircled on a path along which the eigenvectors remain approximately real and discuss a microwave cavity experiment, where such an encircling of an EP was realized. Since the wavefunctions remain approximately real, they could be reconstructed from the nodal lines of the recorded spatial intensity distributions of the electric fields inside the resonator. We measured the geometric phases that occur when an EP is encircled four times and thus confirmed that for our system an EP is a branch point of fourth order.

Affiliated with

Also associated with

No associations

Rating

Encircling an Exceptional Point does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Encircling an Exceptional Point, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Encircling an Exceptional Point will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-699373