Fig. 1: Schematic representation of interacting qubits and the largest Lyapunov exponent dependence on model parameters for the case of two qubits.
From: Emergence and control of complex behaviors in driven systems of interacting qubits with dissipation
a Schematic representation of a circular chain of six interacting quantum units (e.g., Rydberg atoms or qubits), labeled by integer indexes and coupled via nearest neighbor interactions. b Atomic-level configuration reflected in the model [Eqs. (1)–(3)]. Coherent laser excitation from the ground state \(\left|g\right\rangle\) to an excited (“Rydberg”) state \(\left|e\right\rangle\) with a Rabi frequency ΩR and detuning δω, incoherent spontaneous decay γ, and the Rydberg interaction when an excited qubit shifts the transition frequency of a neighboring qubit by V. c Dependence of the largest Lyapunov exponent Λ1 on Δ and Ω calculated for c = 5 for the system of 2 coupled qubits. The color scale intensity indicates the value of Λ1.
