تقرير
Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
| العنوان: | Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation |
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| المؤلفون: | Buca, Berislav, Booker, Cameron, Jaksch, Dieter |
| المصدر: | SciPost Phys. 12, 097 (2022) |
| سنة النشر: | 2021 |
| المجموعة: | Condensed Matter Nonlinear Sciences Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Quantum Gases, Condensed Matter - Statistical Mechanics, Nonlinear Sciences - Adaptation and Self-Organizing Systems |
| الوصف: | Synchronization is a phenomenon where interacting particles lock their motion and display non-trivial dynamics. Despite intense efforts studying synchronization in systems without clear classical limits, no comprehensive theory has been found. We develop such a general theory based on novel necessary and sufficient algebraic criteria for persistently oscillating eigenmodes (limit cycles) of time-independent quantum master equations. We show these eigenmodes must be quantum coherent and give an exact analytical solution for all such dynamics in terms of a dynamical symmetry algebra. Using our theory, we study both stable synchronization and metastable/transient synchronization. We use our theory to fully characterise spontaneous synchronization of autonomous systems. Moreover, we give compact algebraic criteria that may be used to prove absence of synchronization. We demonstrate synchronization in several systems relevant for various fermionic cold atom experiments. Comment: Resubmission to SciPost. 58 pages, 8 figures. Comments are welcome |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.21468/SciPostPhys.12.3.097 |
| الوصول الحر: | http://arxiv.org/abs/2103.01808Test |
| رقم الانضمام: | edsarx.2103.01808 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.21468/SciPostPhys.12.3.097 |
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