تقرير
Classification of Unitary Operators by Local Generatability
| العنوان: | Classification of Unitary Operators by Local Generatability |
|---|---|
| المؤلفون: | Liu, Xu, Culver, Adrian B., Harper, Fenner, Roy, Rahul |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Quantum Gases, Condensed Matter - Strongly Correlated Electrons, Quantum Physics |
| الوصف: | Periodically driven (Floquet) systems can exhibit new possibilities beyond what can be obtained in equilibrium. Both in Floquet systems and in the related problems of discrete-time quantum walks and quantum cellular automata, a basic distinction arises among unitary time evolution operators: while all physical operators are local, not all are locally generated (i.e., generated by some local Hamiltonian). In this paper, we define the notion of equivalence up to a locally generated unitary in all Altland-Zirnbauer symmetry classes. We then classify non-interacting unitaries in all dimensions on this basis by showing that equivalence up to a locally generated unitary is identical to homotopy equivalence. Comment: 14+7 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.02728 |
| رقم الأكسشن: | edsarx.2308.02728 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |