A method is proposed for constructing the dark states of multilevel atomic ensembles by selection based on statistical determination of the detection delay for photons escaping from a cavity. Numerical experiments are reported simulating this selection for two- and three-level atoms. Supercomputer simulation confirms the hypothesis that the general explicit form of the dark subspace is a linear combination of antisymmetric ground states of multilevel atoms.
Similar content being viewed by others
References
E. T. Jaynes and F.W. Cummings, “Comparison of quantum and semiclassical radiation theories with application to the beam maser,” Proc. IEEE, 51, No. 1, 89–109 (1963); doi:https://doi.org/10.1109/PROC.1963.1664.
R. Dicke, Phys. Rev., 93, 99 (1954).
D. G. Angelakis, M. F. Santos, and S. Bose, “Photon-blockade-induced Mott transitions and XY spin models in coupled cavity arrays,” Phys. Rev. A, 76, 03 (2007).
S. Huelga and M. Plenio, “Vibration, quanta and biology,” Contemp. Phys., 54, 181–207 (2013).
M. Plenio, “Dephasing assisted transport: Quantum networks and biomolecules,” New J. Phys., 10, 113019 (2008).
Y. I. Ozhigov and N. A. Skovoroda, “Qubit model of Jaynes-Cummings-Hubbard with phonon environment for exciton transport in light-harvesting FMO comlex,” in: Proc. SPIE, Int. Conf. on Micro and Nano-Electronics, Ser. 9440, 94401M (2014).
H. Azuma, “Quantum computation with the Jaynes-Cummings models,” Prog. Theor. Phys., 126, 369–385 (2011).
A. Ambainis, “Quantum walks and their algorithmic applications,” Int. J. Quantum Information, 1, 507–518 (2003).
A. V. Kulagin, V. Y. Ladunov, Y. I. Ozhigov, N. A. Skovoroda, and N. B. Victorova, “Homogeneous atomic ensembles and singlemode field: review of simulation results,” in: Proc. SPIE, International Conference on Micro- and Nano-Electronics 2018, Ser. 11022: 110222C (2019); https://doi.org/10.1117/12.2521763.
M. T. Tavis, A Study of an n Molecule Quantized-Radiation-Field Hamiltonian, Dissertation; https://arxiv.org/abs/1206.0078.
P. Kok, K. Nemoto, and W. J. Munro, Properties of multi-partite dark states; http://lanl.arxiv.org/abs/quant-ph/0201139 (2002).
Y. I. Ozhigov, “Space of dark states in Tavis-Cummings model,” Modern Infor-mation Technologies and IT Education, 15, No. 1, 27–32 (2019); DOI: 10.2555915/SITITO.15.201901.13-26, https://arxiv.org/abs/1606.08483.
A. André, L. M. Duan, and M. D. Lukin, “Coherent atom interactions mediated by dark-state polaritons,” Phys. Rev. Lett., 88, 243602 (2002).
J. Hansom, C. Schulte, C. Le Gall, C. Matthiesen, E. Clarke, M. Hugues, J. M. Taylor, and M. Atatüre, “Environment-assisted quantum control of a solid-state spin via co-herent dark states,” Nature Physics, 10, 725–730 (2014).
E. S. Lee, C. Geckeler, J. Heurich, A. Gupta, KitIu Cheong, S. Secrest, and P. Meystre, “Dark states of dressed Bose-Einstein condensates,” Phys. Rev. A, 60, 4006 (1999).
S. V. Kozyrev and I. V. Volovich, Dark Stats in Quantum Photosynthesis; http://lanl.arxiv.org/abs/1603.07182.
C. Pöltl, C. Emary, and T. Brandes, “Spin entangled two-particle dark state in quan-tum transport through coupled quantum dots,” Phys. Rev. B, 87, 045416 (2013).
T. Tanamoto, K. Ono, and F. Nori, “Steady-state solution for dark states using a three-level system in coupled quantum dots,” Jpn. J. Appl. Phys., Part 1, 51, 02BJ07 (2012).
D. J. Berkeland and M. G. Boshier, Destabilization of Dark States and Optical Spectroscopy in Zeeman-Degenerate Atomic Systems; http://arxiv.org/pdf/quant-ph/0111018v1.pdf.
Y. I. Ozhigov, “Dark states of atomic ensembles: properties and preparation,” in: Proc. SPIE, International Conference on Microand Nano-Electronics 2016, Ser. 10224: 102242Y (2016); https://doi.org/10.1117/12.2264516.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Matematika i Informatika, No. 64, 2020, pp. 17–30.
Rights and permissions
About this article
Cite this article
Kulagin, A.V., Ozhigov, Y.I. Optical Selection of Dark States of Multilevel Atomic Ensembles. Comput Math Model 31, 431–441 (2020). https://doi.org/10.1007/s10598-021-09504-3
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10598-021-09504-3