## PT-symmetric lattices with a local degree of freedom

Harsha Vemuri, Yogesh N. Joglekar

Recently, open systems with balanced, spatially separated loss and gain have been realized and studied using non-Hermitian Hamiltonians that are invariant under the combined parity and time-reversal ($$\mathcal{PT}$$) operations. Here, we model and investigate the effects of a local, two-state, quantum degree of freedom, called a pseudospin, on a one-dimensional tight-binding lattice with position-dependent tunneling amplitudes and a single pair of non-Hermitian, $$\mathcal{PT}$$-symmetric impurities. We show that if the resulting Hamiltonian is invariant under exchange of two pseudospin labels, the system can be decomposed into two uncoupled systems with tunable threshold for $$\mathcal{PT}$$ symmetry breaking. We discuss implications of our results to systems with specific tunneling profiles, and open or periodic boundary conditions.

http://arxiv.org/abs/1302.4314
Quantum Physics (quant-ph); Optics (physics.optics)