We investigate single and double excitation transfer in a trimer of dipole-coupled three-level systems using a Gaussian laser pulse. We demonstrate near-perfect state transfer of a double excitation to the third three-level system.
We derive and simulate the wavefunctions and double-excitation probabilities for dimer and trimer three-level systems. Perfect state transfer occurs for pulse strengths that are odd multiples of π /2 when the parameter Jt equals odd multiples of π /2 and π /2 for the dimer and trimer, respectively. Near-perfect state transfer with a single photon occurred for photon coupling strength g =2 J when Jt=1.99,19.87 in the dimer and Jt=2.62,25.51 in the trimer. The nature of perfect state transfer is due to localization and transfer of double excitations for given pulse strengths and times.
In this paper, the theory of the transfer efficiency of a light-harvesting system consisting of a trimer ring coupled to an acceptor site is presented. When the ring has a prepared excitation or is excited using a laser pulse, the maximum transfer efficiency is approximately 0.5, while a near-perfect transfer efficiency is generated by a single photon. The near-perfect efficiency results from the creation of a dark state by the photon, which suppresses the effect of spontaneous decay from the donor.
We analyze a quantum wire that consists of a linear chain of three qutrits with nearest-neighbor interactions and detuning on the central qutrit. We derive the detuning conditions for perfect state transfer of a double excitation and for maximal entanglement between the first and third qutrits. We also analytically determine the times for perfect state transfer and maximal entanglement, which are found to be periodic. We also show that perfect state transfer is a necessary condition for maximal entanglement, with the first occurrence of maximal entanglement at half the time for the first occurrence of perfect state transfer.