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Q-MAC regular meeting 2020 has been cancelled. 

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Publication Detail / Abstract

B. Buca, C. Booker, D. Jaksch

Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation

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Synchronization is a phenomenon when interacting particles lock their motion into the same phase and frequency. Despite intense efforts studying synchronization in systems without clear classical limits, no comprehensive theory has been found. We give such a general theory based on novel necessary and sufficient algebraic criteria for persistently oscillating eigenmodes (limit cycles). 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 synchronization. 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.
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