Physics – Quantum Physics
Scientific paper
2011-04-09
Phys.Rev.A83:050102,2011
Physics
Quantum Physics
5 figures
Scientific paper
10.1103/PhysRevA.83.050102
We investigate the robustness of parity- and time-reversal ($\mP\mT$) symmetric phase in an $N$-site lattice with position-dependent, parity-symmetric hopping function and a pair of imaginary, $\mP\mT$-symmetric impurities. We find that the "fragile" $\mP\mT$-symmetric phase in these lattices is stronger than its counterpart in a lattice with constant hopping. With an open system in mind, we explore the degrees of broken $\mP\mT$-symmetry and their signatures in single-particle wavepacket evolution. We predict that when the $\mP\mT$-symmetric impurities are closest to each other, the time evolution of a wavepacket in an even-$N$ lattice is remarkably different from that in an odd-$N$ lattice. Our results suggest that $\mP\mT$-symmetry breaking in such lattices is accompanied by rich, hitherto unanticipated, phenomena.
Joglekar Yogesh N.
Scott Derek D.
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