Probing nonorthogonality of eigenfunctions and its impact on transport through open systems
The degree of nonorthogonality of eigenstates of non-Hermitian systems governs nuclear scattering, electronic conductance, and wave propagation in disordered media. Here, we determine the impact of non-Hermiticity upon eigenstates inside an open random cavity from measurements of the modal overlap m...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2019-10-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.1.033026 |
| _version_ | 1797211686111805440 |
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| author | Matthieu Davy Azriel Z. Genack |
| author_facet | Matthieu Davy Azriel Z. Genack |
| author_sort | Matthieu Davy |
| collection | DOAJ |
| description | The degree of nonorthogonality of eigenstates of non-Hermitian systems governs nuclear scattering, electronic conductance, and wave propagation in disordered media. Here, we determine the impact of non-Hermiticity upon eigenstates inside an open random cavity from measurements of the modal overlap matrix of transmitted microwave radiation. Increasing eigenfunction correlation with spectral modal overlap brought about by the openness of the system leads to modal transmission greatly exceeding unity accompanied by strong modal anticorrelation guaranteeing that transmission does not exceed unity. |
| first_indexed | 2024-04-24T10:30:26Z |
| format | Article |
| id | doaj.art-98b49dfbb60946bc8e6498483b7cb828 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:30:26Z |
| publishDate | 2019-10-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-98b49dfbb60946bc8e6498483b7cb8282024-04-12T16:46:09ZengAmerican Physical SocietyPhysical Review Research2643-15642019-10-011303302610.1103/PhysRevResearch.1.033026Probing nonorthogonality of eigenfunctions and its impact on transport through open systemsMatthieu DavyAzriel Z. GenackThe degree of nonorthogonality of eigenstates of non-Hermitian systems governs nuclear scattering, electronic conductance, and wave propagation in disordered media. Here, we determine the impact of non-Hermiticity upon eigenstates inside an open random cavity from measurements of the modal overlap matrix of transmitted microwave radiation. Increasing eigenfunction correlation with spectral modal overlap brought about by the openness of the system leads to modal transmission greatly exceeding unity accompanied by strong modal anticorrelation guaranteeing that transmission does not exceed unity.http://doi.org/10.1103/PhysRevResearch.1.033026 |
| spellingShingle | Matthieu Davy Azriel Z. Genack Probing nonorthogonality of eigenfunctions and its impact on transport through open systems Physical Review Research |
| title | Probing nonorthogonality of eigenfunctions and its impact on transport through open systems |
| title_full | Probing nonorthogonality of eigenfunctions and its impact on transport through open systems |
| title_fullStr | Probing nonorthogonality of eigenfunctions and its impact on transport through open systems |
| title_full_unstemmed | Probing nonorthogonality of eigenfunctions and its impact on transport through open systems |
| title_short | Probing nonorthogonality of eigenfunctions and its impact on transport through open systems |
| title_sort | probing nonorthogonality of eigenfunctions and its impact on transport through open systems |
| url | http://doi.org/10.1103/PhysRevResearch.1.033026 |
| work_keys_str_mv | AT matthieudavy probingnonorthogonalityofeigenfunctionsanditsimpactontransportthroughopensystems AT azrielzgenack probingnonorthogonalityofeigenfunctionsanditsimpactontransportthroughopensystems |