Origin of maximal symmetry breaking in even PT-symmetric lattices

Details Origin of maximal symmetry breaking in even PT-symmetric lattices Origin of maximal symmetry breaking in even PT-symmetric lattices

2011-08-05

arxiv.org/abs/1108.6083v1

Phys. Rev. A 84, 024103 (2011)

Physics

Quantum Physics

3 pages, 1 figure

Scientific paper

By investigating a parity and time-reversal (PT) symmetric, $N$-site lattice with impurities $\pm i\gamma$ and hopping amplitudes $t_0 (t_b)$ for regions outside (between) the impurity locations, we probe the origin of maximal PT-symmetry breaking that occurs when the impurities are nearest neighbors. Through a simple and exact derivation, we prove that the critical impurity strength is equal to the hopping amplitude between the impurities, $\gamma_c=t_b$, and the simultaneous emergence of $N$ complex eigenvalues is a robust feature of any PT-symmetric hopping profile. Our results show that the threshold strength $\gamma_c$ can be widely tuned by a small change in the global profile of the lattice, and thus have experimental implications.

Affiliated with

Also associated with

No associations

Rating

Origin of maximal symmetry breaking in even PT-symmetric lattices 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 Origin of maximal symmetry breaking in even PT-symmetric lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Origin of maximal symmetry breaking in even PT-symmetric lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-2019