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Topological Quantum Computing Quantum Simulation

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

arXiv

Authors: Jung-Wan Ryu, Nojoon Myoung, Hee Chul Park

Year

2017

Paper ID

44278

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

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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We demonstrate mesoscopic transport through quantum states in quasi-1D lattices maintaining the combination of parity and time-reversal symmetries by controlling energy gain...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1708.00131 [2] arXiv https://arxiv.org/abs/1708.00131 [3] Publisher https://arxiv.org/abs/1708.00131

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