2015/10/30 by Matin Hallaji, Chao Zhuang, Hallaji, Matin +11
Chemistry · Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #Spectroscopy and Laser Applications #Spectroscopy and Quantum Chemical Studies
paper · pdf · doi:10.48550/arxiv.1510.09186
openalex publication_date 2015/10/30 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28
We study quantum control techniques, specifically Adiabatic Rapid Passage\n(ARP) and Gradient Ascent Pulse Engineering (GRAPE), for transferring atoms\ntrapped in an optical lattice between different vibrational states. We compare\nthem with each other and with previously studied coupling schemes in terms of\nperformance. In our study of ARP, we realize control of the vibrational states\nby tuning the frequency of a spatial modulation through the inhomogeneously\nbroadened vibrational absorption spectrum. We show that due to the presence of\nmultiple crossings, the population transfer depends on the direction of the\nfrequency sweep, in contrast to traditional ARP. In a second study, we control\nthese states by applying a pulse sequence involving both the displacement of\nthe optical lattice and modulation of the lattice depth. This pulse is\nengineered via the GRAPE algorithm to maximize the number of atoms transferred\nfrom the initial (ground) state to the first excited state. We find that the\nARP and the GRAPE techniques are superior to the previously tested techniques\nat transferring population into the first excited state from the ground state:\n38.9\±0.2 % and 39\±2 % respectively. GRAPE outperforms ARP in leaving\nthe higher excited states unpopulated (less than 3.3 % of the ground state\npopulation, at 84 % confidence level), while 18.7\±0.3 % of the ground\nstate population is transferred into higher excited states by using ARP. On the\nother hand, ARP creates a normalized population inversion of 0.21\±0.02,\nwhich is the highest obtained by any of the control techniques we have\ninvestigated.\n