Limit cycles in periodically driven open quantum systems

• Published in: Journal of physics. A, Mathematical and theoretical Vol. 52; no. 43; pp. 43 - 51
• Main Authors: Menczel, Paul, Brandner, Kay
• Format: Journal Article
• Language: English
• Published: IOP Publishing 25.10.2019
• Subjects: asymptotics; cyclic machines; functional analysis and operator theory; mathematical physics; nonequilibrium systems; open quantum systems

We investigate the long-time behavior of quantum N-level systems that are coupled to a Markovian environment and subject to periodic driving. As our main result, we obtain a general algebraic condition ensuring that all solutions of a periodic quantum master equation with Lindblad form approach a un...