Until now, we have considered quantum systems with time independent Hamiltonians. In this chapter, we focus on the dynamics of quantum systems with time-periodic Hamiltonians as they undergo a transition from a regime in which they exhibit integrable-like behavior to a regime where they exhibit the manifestations of chaos. Time-periodic quantum systems, if they consist of a time-independent part driven by a time-periodic field, have in some cases proven to be amenable to analytic analysis. This is one of the reasons why they have received so much attention in recent years.
KeywordsDrive System Stable Manifold Primary Resonance Microwave Field Schrodinger Equation
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