Abstract
The light-induced frequency shift (LIFS) of ultracold molecular ro-vibrational levels originates from the strong coupling of the atomic-scattering state and the bound-molecular state. In this paper, we present our experimental determination of the LIFSs of the lowest vibrational levels (ν = 0, 1) in the purely long-range \(0_g^-\) state of ultracold cesium molecules. A high-resolution double photoassociation spectroscopy is developed, which serves as frequency ruler to measure the frequency shifts of the lowest molecular levels for Cs2. The experimental results are qualitatively consistent with the theoretical expectations.
Similar content being viewed by others
References
I. Bloch, J. Dalibard, and W. Zwerger, Many-body physics with ultracold gases, Rev. Mod. Phys. 80(3), 885 (2008)
J. Eisert, M. Friesdorf, and C. Gogolin, Quantum many-body systems out of equilibrium, Nat. Phys. 11(2), 124 (2015)
J. F. Barry, D. J. McCarron, E. B. Norrgard, M. H. Steinecker, and D. DeMille, Magneto-optical trapping of a diatomic molecule, Nature 512(7514), 286 (2014)
A. M. Rey, A. V. Gorshkov, C. V. Kraus, M. J. Martin, M. Bishof, M. D. Swallows, X. Zhang, C. Benko, J. Ye, N. D. Lemke, and A. D. Ludlow, Probing many-body interactions in an optical lattice clock, Ann. Phys. 340(1), 311 (2014)
J. L. Bohn, A. M. Rey, and J. Ye, Cold molecules: Progress in quantum engineering of chemistry and quantum matter, Science 357(6355), 1002 (2017)
N. Goldman, J. C. Budich, and P. Zoller, Topological quantum matter with ultracold gases in optical lattices, Nat. Phys. 12(7), 639 (2016)
K. M. Jones, E. Tiesinga, P. D. Lett, and P. S. Julienne, Ultracold photoassociation spectroscopy: Longrange molecules and atomic scattering, Rev. Mod. Phys. 78(2), 483 (2006)
C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Feshbach resonances in ultracold gases, Rev. Mod. Phys. 82(2), 1225 (2010)
N. V. Vitanov, A. A. Rangelov, B. W. Shore, and K. Bergmann, Stimulated Raman adiabatic passage in physics, chemistry, and beyond, Rev. Mod. Phys. 89(1), 015006 (2017)
L. Anderegg, B. L. Augenbraun, Y. Bao, S. Burchesky, L. W. Cheuk, W. Ketterle, and J. M. Doyle, Laser cooling of optically trapped molecules, Nat. Phys. 14(9), 890 (2018)
J. Rui, H. Yang, L. Liu, D. C. Zhang, Y. X. Liu, J. Nan, Y. A. Chen, B. Zhao, and J. W. Pan, Controlled state-to-state atom-exchange reaction in an ultracold atom–dimer mixture, Nat. Phys. 13(7), 699 (2017)
L. R. Liu, J. D. Hood, Y. Yu, J. T. Zhang, N. R. Hutzler, T. Rosenband, and K. K. Ni, Building one molecule from a reservoir of two atoms, Science 360(6391), 900 (2018)
W. B. Cairncross, D. N. Gresh, M. Grau, K. C. Cossel, T. S. Roussy, Y. Q. Ni, Y. Zhou, J. Ye, and E. A. Cornell, Precision measurement of the electron’s electric dipole moment using trapped molecular ions, Phys. Rev. Lett. 119, 153001 (2017)
I. M. Georgescu, S. Ashhab, and F. Nori, Quantum simulation, Rev. Mod. Phys. 86(1), 153 (2014)
S. A. Moses, J. P. Covey, M. T. Miecnikowski, D. S. Jin, and J. Ye, New frontiers for quantum gases of polar molecules, Nat. Phys. 13(1), 13 (2017)
O. Dulieu and C. Gabbanini, The formation and interactions of cold and ultracold molecules: New challenges for interdisciplinary physics, Rep. Prog. Phys. 72, 086401 (2009)
D. Comparat, C. Drag, A. Fioretti, O. Dulieu, and P. Pillet, Photoassociative spectroscopy and formation of cold molecules in cold cesium vapor: Trap-loss spectrum versus ion spectrum, J. Mol. Spectrosc. 195(2), 229 (1999)
J. Ma, J. Wu, G. Chen, Q. Fan, H. Feng, X. Dai, W. Sun, L. Xiao, and S. Jia, Experimental determination of the rotational constants of high-lying vibrational levels of ultracold Cs2 in the \(0_g^-\) purely long-range state, J. Phys. Chem. Lett. 4(21), 3612 (2013)
S. Sainis, J. Sage, E. Tiesinga, S. Kotochigova, T. Bergeman, and D. DeMille, Detailed spectroscopy of the Cs2a3Σ+u state and implications for measurements sensitive to variation of the electron-proton mass ratio, Phys. Rev. A 86(2), 022513 (2012)
Y. Yang, X. Liu, Y. Zhao, L. Xiao, and S. Jia, Rovibrational dynamics of RbCs on its lowest 1,3Σ+ potential curves calculated by coupled cluster method with all-electron basis set, J. Phys. Chem. A 116(46), 11101 (2012)
J. Wu, Z. Ji, Y. Zhang, L. Wang, Y. Zhao, J. Ma, L. Xiao, and S. Jia, High sensitive determination of light induced frequency shifts of ultracold cesium molecules, Opt. Lett. 36(11), 2038 (2011)
P. K. Molony, P. D. Gregory, Z. H. Ji, B. Lu, M. P. Köppinger, C. R. Le Sueur, C. L. Blackley, J. M. Hutson, and S. L. Cornish, Creation of ultracold 87Rb133Cs molecules in the rovibrational ground state, Phys. Rev. Lett. 113, 255301 (2014)
L. Lassablière and G. Quéméner, Controlling the scattering length of ultracold dipolar molecules, Phys. Rev. Lett. 121(16), 163402 (2018)
S. Ospelkaus, K. K. Ni, D. Wang, M. H. G. de Miranda, B. Neyenhuis, G. Quéméner, P. S. Julienne, J. L. Bohn, D. S. Jin, and J. Ye, Quantum-state controlled chemical reactions of ultracold Potassium-Rubidium molecules, Science 327(5967), 853 (2010)
M. Portier, S. Moal, J. Kim, M. Leduc, C. Cohen-Tannoudji, and O. Dulieu, Analysis of light-induced frequency shifts in the photoassociation of ultracold metastable helium atoms, J. Phys. B 39(19), S881 (2006)
I. D. Prodan, M. Pichler, M. Junker, R. G. Hulet, and J. L. Bohn, Intensity dependence of photoassociation in a quantum degenerate atomic gas, Phys. Rev. Lett. 91(8), 080402 (2003)
C. McKenzie, J. Hecker Denschlag, H. Häffner, A. Browaeys, L. E. E. de Araujo, F. K. Fatemi, K. M. Jones, J. E. Simsarian, D. Cho, A. Simoni, E. Tiesinga, P. S. Julienne, K. Helmerson, P. D. Lett, S. L. Rolston, and W. D. Phillips, Photoassociation of sodium in a bose-einstein condensate, Phys. Rev. Lett. 88(12), 120403 (2002)
A. Simoni, P. S. Julienne, E. Tiesinga, and C. J. Williams, Intensity effects in ultracold photoassociation line shapes, Phys. Rev. A 66(6), 063406 (2002)
J. L. Bohn and P. S. Julienne, Semianalytic theory of laser-assisted resonant cold collisions, Phys. Rev. A 60(1), 414 (1999)
Y. Q. Li, G. S. Feng, W. L. Liu, J. Z. Wu, J. Ma, L. T. Xiao, and S. T. Jia, Control of light induced frequency shift in ultracold cesium molecules by an external magnetic field, Opt. Lett. 40(10), 2241 (2015)
W. Liu, X. Wang, J. Wu, X. Su, S. Wang, V. B. Sovkov, J. Ma, L. Xiao, and S. Jia, Experimental observation and determination of the light induced frequency shift of hyperfine levels of ultracold polar molecules, Phys. Rev. A 96(2), 022504 (2017)
R. Wester, S. D. Kraft, M. Mudrich, M. Staudt, J. Lange, N. Vanhaecke, O. Dulieu, and M. Weidemüller, Photoassociation inside an optical dipole trap: Absolute rate coefficients and Franck–Condon factors, Appl. Phys. B 79(8), 993 (2004)
N. Bouloufa, A. Crubellier, and O. Dulieu, Reexamination of the Og- pure long-range state of Cs2: Prediction of missing levels in the photoassociation spectrum, Phys. Rev. A 75, 052501 (2007)
Y. Zhang, J. Ma, J. Wu, L. Wang, L. Xiao, and S. Jia, Experimental observation of the lowest levels in the photoassociation spectroscopy of the Og- purely-long-range state of Cs2, Phys. Rev. A 87, 030503 (2013)
J. Wu, W. Liu, Y. Li, J. Ma, L. Xiao, and S. Jia, Experimental determination of rotational constants of low-lying vibrational levels in the Og- pure long-range state of ultracold Cs2 molecule, J. Quant. Spectrosc. Radiat. Transf. 191, 13 (2017)
J. Wu, J. Ma, Y. Zhang, Y. Li, L. Wang, Y. Zhao, G. Chen, L. Xiao, and S. Jia, High sensitive trap loss spectroscopic detection of the lowest vibrational levels of ultracold molecules, Phys. Chem. Chem. Phys. 13(42), 18921 (2011)
M. Pichler, H. Chen, and W. C. Stwalley, Photoassociation spectroscopy of ultracold Cs below the 6P3/2 limit, J. Chem. Phys. 121(4), 1796 (2004)
A. Fioretti, D. Comparat, C. Drag, C. Amiot, O. Dulieu, F. Masnou-Seeuws, and P. Pillet, Photoassociative spectroscopy of the long-range state, Eur Phys J. D 5, 389 (1999)
M. Pichler, H. Chen, and W. C. Stwalley, Photoassociation spectroscopy of ultracold Cs below the 6P1/2 limit, J. Chem. Phys. 121(14), 6779 (2004)
Acknowledgements
This work was supported by the National Key R&D Program of China (Grant No. 2017YFA0304203), the National Natural Science Foundation of China (Grants Nos. 61722507, 61675121, and 61705123), PCSIRT (No. IRT-17R70), 111 Project (Grant No. D18001), the Program for the Outstanding Innovative Teams of Higher Learning Institutions of Shanxi (OIT), the Fund Program for the Scientific Activities of Selected Returned Overseas Professionals in Shanxi Province, and the Applied Basic Research Project of Shanxi Province, China (Grant Nos. 201701D221002, 201901D211191, and 201901D211188).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wu, JZ., Li, YQ., Liu, WL. et al. Light-induced frequency shifts for the lowest vibrational levels of ultracold Cs2 in the molecular pure long-range \(0_g^-\) state. Front. Phys. 15, 22602 (2020). https://doi.org/10.1007/s11467-020-0951-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11467-020-0951-y