Population trapping in a pair of periodically driven Rydberg atoms

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 a 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.

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

“…These describe coupled two-level systems or genuine four-level systems, such as double quantum dots with two electrons. The single passage problem with the four-level model was addressed, for instance, for two antiferromagnetically coupled tunneling systems, such as Mn 4 dimers (Garanin, 2004), Rydberg atoms (Mallavarapu et al, 2021;Niranjan et al, 2020), and quantum dots (Krzywda and Cywiński, 2020;Reynoso and Flensberg, 2012;Sinitsyn, 2002). Not only qubits, but also qutrits, can be coupled, as in Refs.…”

Switchable selective interactions in a Dicke Model with Driven Biased term

“…Population trapping [37], a phenomenon named dynamical stabilization, plays a key role in both classical and quantum mechanical systems. Periodically tuning the system parameters in time, dynamically unstable configuration of a system can be stabilized.…”

“…The controllability of systems is largely extended when the periodic driving is introduced [34]. Such versatile tool for quantum control is utilized to study many fields of quantum physics, such as exotic quantum properties of artificial quantum matter [35], Floquet analysis of a quantum system [36], population trapping [37], stochastic processes [38], and so on. By means of adjusting the parameters of periodic driving, one can realize various controllable selective interactions which arise from the possibility of adjusting parameters to resonance transition inside a chosen Hilbert subspace, while other transitions are suppressed [39].…”

Comparative Study on Binomial Distribution Content in High School Textbooks

“…Implementation of Rydberg antiblockade gates is one of the current mainstream protocols towards fast and robust neutral-atom quantum computation [1][2][3][4][5][6][7], as the traditional Rydberg antiblockade regime with enhanced dissipative dynamics can lead to the preparation of highfidelity steady entanglement in versatile systems [8][9][10][11][12][13][14][15][16][17]. Beyond applications in quantum entanglement, constructing a quantum logic gate via antiblockade mechanism [18][19][20] is more straightforward because the simultaneous multi-atom excitation establishes an effective model which exactly avoids the occupancy of lossy singlyexcited Rydberg states [21].…”