Physics – Quantum Physics
Scientific paper
2012-03-06
Physics
Quantum Physics
5 pages, 3 figures
Scientific paper
We investigate the properties of an $N$-site tight-binding lattice with periodic boundary condition (PBC) in the presence of a pair of gain and loss impurities $\pm i\gamma$, and two tunneling amplitudes $t_0,t_b$ that are constant along the two paths that connect them. We show that the parity and time-reversal ($\mP\mT$)-symmetric phase of the lattice with PBC is robust, insensitive to the distance between the impurities, and that the critical impurity strength for PT-symmetry breaking is given by $\gamma_{PT}=|t_0-t_b|$. We study the time-evolution of a typical wave packet, initially localized on a single site, across the PT-symmetric phase boundary. We find that it acquires chirality with increasing $\gamma$, and the chirality reaches a universal maximum value at the threshold, $\gamma=\gamma_{PT}$, irrespective of the initial location of the wave packet or the lattice parameters. Our results imply that PT-symmetry breaking on a lattice with PBC has consequences that have no counterpart in open chains.
Joglekar Yogesh N.
Scott Derek D.
No associations
LandOfFree
PT-symmetry breaking and universal chirality in a PT-symmetric ring 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 PT-symmetry breaking and universal chirality in a PT-symmetric ring, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and PT-symmetry breaking and universal chirality in a PT-symmetric ring will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-392685