Abstract
We study the population trapping extensively in a periodically driven Rydberg pair. The periodic modulation of the atom-light detuning effectively suppresses the Rabi couplings and, together with Rydberg-Rydberg interactions, leads to the state-dependent population trapping. We identify a simple yet general scheme to determine population trapping regions using driving-induced resonances, the Floquet spectrum, and the inverse participation ratio. Contrary to the single-atom case, we show that the population trapping in the two-atom setup may not necessarily be associated with level crossings in the Floquet spectrum. Further, we discuss under what criteria population trapping can be related to dynamical stabilization, taking specific and experimentally relevant initial states, which include both product and the maximally entangled Bell states. The behavior of the entangled states is further characterized by the bipartite entanglement entropy.
Highlights
Periodic driving emerged as a tool to coherently manipulate the states of quantum systems
The periodic modulation may suppress the Rabi coupling depending on the modulation amplitude and frequency, leading to dynamical stabilization of the initial state
IV, we extend the scheme to the two atom setup, and in particular, discuss the population trapping in both product and entangled states, including the driving induced resonances, and the Floquet spectrum
Summary
Periodic driving emerged as a tool to coherently manipulate the states of quantum systems. Contrary to the previous conception from the single atom case, the population trapping or the dynamical stabilization in the twoatom setup is not necessarily related to the level crossings in the Floquet spectrum. The population trapping at the primary resonance (n1 = 0), i.e., when J0(α) = 0 for ∆0 = 0, provides us the phenomenon of dynamical stabilization As a first step towards analyzing the population trapping, we discuss the resonances in the twoatom driven setup
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