Reconfiguration of quantum states in $${\mathscr{P}}{\mathscr{T}}$$ P T -symmetric quasi-one-dimensional lattices

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...

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Main Authors: Jung-Wan Ryu, Nojoon Myoung, Hee Chul Park
Format: Article
Language:English
Published: Nature Portfolio 2017-08-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-017-09410-y
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author Jung-Wan Ryu
Nojoon Myoung
Hee Chul Park
author_facet Jung-Wan Ryu
Nojoon Myoung
Hee Chul Park
author_sort Jung-Wan Ryu
collection DOAJ
description 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 $${\mathscr{P}}{\mathscr{T}}$$ P T -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 $${\mathscr{P}}{\mathscr{T}}$$ P T -symmetry.
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spelling doaj.art-8928fc45890a47819e407d4f9fcc695b2022-12-21T20:35:34ZengNature PortfolioScientific Reports2045-23222017-08-01711710.1038/s41598-017-09410-yReconfiguration of quantum states in $${\mathscr{P}}{\mathscr{T}}$$ P T -symmetric quasi-one-dimensional latticesJung-Wan Ryu0Nojoon Myoung1Hee Chul Park2Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS)Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS)Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS)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 $${\mathscr{P}}{\mathscr{T}}$$ P T -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 $${\mathscr{P}}{\mathscr{T}}$$ P T -symmetry.https://doi.org/10.1038/s41598-017-09410-y
spellingShingle Jung-Wan Ryu
Nojoon Myoung
Hee Chul Park
Reconfiguration of quantum states in $${\mathscr{P}}{\mathscr{T}}$$ P T -symmetric quasi-one-dimensional lattices
Scientific Reports
title Reconfiguration of quantum states in $${\mathscr{P}}{\mathscr{T}}$$ P T -symmetric quasi-one-dimensional lattices
title_full Reconfiguration of quantum states in $${\mathscr{P}}{\mathscr{T}}$$ P T -symmetric quasi-one-dimensional lattices
title_fullStr Reconfiguration of quantum states in $${\mathscr{P}}{\mathscr{T}}$$ P T -symmetric quasi-one-dimensional lattices
title_full_unstemmed Reconfiguration of quantum states in $${\mathscr{P}}{\mathscr{T}}$$ P T -symmetric quasi-one-dimensional lattices
title_short Reconfiguration of quantum states in $${\mathscr{P}}{\mathscr{T}}$$ P T -symmetric quasi-one-dimensional lattices
title_sort reconfiguration of quantum states in mathscr p mathscr t p t symmetric quasi one dimensional lattices
url https://doi.org/10.1038/s41598-017-09410-y
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AT heechulpark reconfigurationofquantumstatesinmathscrpmathscrtptsymmetricquasionedimensionallattices