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arXiv · 1708.00131

Reconfiguration of quantum states in $\mathcal PT$-symmetric quasi-one dimensional lattices

Jung-Wan Ryu·Nojoon Myoung·Hee Chul Park
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Abstract

We demonstrate mesoscopic transport through quantum states in quasi-1D lattices maintaining the combination of parity and time-reversal symmetries by controlling energy gain and loss. We investigate the phase diagram of the non-Hermitian system where transitions take place between unbroken and broken $\mathcal{PT}$-symmetric phases via exceptional points. Quantum transport in the lattice is measured only in the unbroken phases in the energy band-but not in the broken phases. The broken phase allows for spontaneous symmetry-broken states where the cross-stitch lattice is separated into two identical single lattices corresponding to conditionally degenerate eigenstates. These degeneracies show a lift-up in the complex energy plane, caused by the non-Hermiticity with $\mathcal{PT}$-symmetry.

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Jung-Wan Ryu, Nojoon Myoung, Hee Chul Park. 2017-08-01. Reconfiguration of quantum states in $\mathcal PT$-symmetric quasi-one dimensional lattices. https://doi.org/10.1038/s41598-017-09410-y

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