تقرير
Quadratic pseudospectrum for identifying localized states
| العنوان: | Quadratic pseudospectrum for identifying localized states |
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| المؤلفون: | Cerjan, Alexander, Loring, Terry A., Vides, Fredy |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics Physics (Other) Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics, Mathematical Physics, Mathematics - Functional Analysis, Physics - Optics |
| الوصف: | We examine the utility of the quadratic pseudospectrum in photonics and condensed matter. Specifically, the quadratic pseudospectrum represents a method for approaching systems with incompatible observables, as it both minimizes the "eigen-error" in the joint approximate spectrum of the incompatible observables and does not increase the system's computational complexity. Moreover, we derive an important estimate relating the Clifford and quadratic pseudospectra. Finally, we prove that the quadratic pseudospectrum is local, and derive the bounds on the errors that are incurred by truncating the system in the vicinity of where the pseudospectrum is being calculated. Comment: 20 pages, 9 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1063/5.0098336 |
| URL الوصول: | http://arxiv.org/abs/2204.10450 |
| رقم الأكسشن: | edsarx.2204.10450 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1063/5.0098336 |
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