1
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Chen Y, Haase D, Manz J, Wang H, Yang Y. From chiral laser pulses to femto- and attosecond electronic chirality flips in achiral molecules. Nat Commun 2024; 15:565. [PMID: 38233379 PMCID: PMC10794217 DOI: 10.1038/s41467-024-44807-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/17/2023] [Accepted: 01/03/2024] [Indexed: 01/19/2024] Open
Abstract
Chirality is an important topic in biology, chemistry and physics. Here we show that ultrashort circularly polarized laser pulses, which are chiral, can be fired on achiral oriented molecules to induce chirality in their electronic densities, with chirality flips within femtoseconds or even attoseconds. Our results, obtained by quantum dynamics simulations, use the fact that laser pulses can break electronic symmetry while conserving nuclear symmetry. Here two laser pulses generate a superposition of three electronic eigenstates. This breaks all symmetry elements of the electronic density, making it chiral except at the periodic rare events of the chirality flips. As possible applications, we propose the combination of the electronic chirality flips with Chiral Induced Spin Selectivity.
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Affiliation(s)
- Yunjiao Chen
- State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan, 030006, China
| | - Dietrich Haase
- Institut für Chemie und Biochemie, Freie Universität Berlin, 14195, Berlin, Germany
| | - Jörn Manz
- State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan, 030006, China.
- Institut für Chemie und Biochemie, Freie Universität Berlin, 14195, Berlin, Germany.
- Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, 030006, China.
| | - Huihui Wang
- State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan, 030006, China.
| | - Yonggang Yang
- State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan, 030006, China.
- Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, 030006, China.
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2
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Shammout B, Karpa L, Ospelkaus S, Tiemann E, Dulieu O. Modeling Photoassociative Spectra of Ultracold NaK + K. J Phys Chem A 2023; 127:7872-7883. [PMID: 37718898 PMCID: PMC10544012 DOI: 10.1021/acs.jpca.3c01823] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/17/2023] [Revised: 08/20/2023] [Indexed: 09/19/2023]
Abstract
A model for photoassociation of ultracold atoms and molecules is presented and applied to the case of 39K and 23Na39K bosonic particles. The model relies on the assumption that photoassociation is dominated by long-range atom-molecule interactions well outside the chemical bond region. The frequency of the photoassociation laser is chosen close to a bound-bound rovibronic transition from the X1Σ+ ground state toward the metastable b3Π lowest excited state of 23Na39K, allowing us to neglect any other excitation, which could hinder the photoassociation detection. The energy level structure of the long-range 39K···23Na39K excited super-dimer is computed in the space-fixed frame by solving coupled-channel equations, involving the coupling between the 23Na39K internal rotation and the mechanical rotation of the super-dimer complex. A quite rich structure is obtained, and the corresponding photoassociation rates are presented. Other possible photoassociation transitions are discussed in the context of the proposed model.
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Affiliation(s)
- Baraa Shammout
- Institut
für Quantenoptik, Leibniz Universität
Hannover, Hannover 30167, Germany
| | - Leon Karpa
- Institut
für Quantenoptik, Leibniz Universität
Hannover, Hannover 30167, Germany
| | - Silke Ospelkaus
- Institut
für Quantenoptik, Leibniz Universität
Hannover, Hannover 30167, Germany
| | - Eberhard Tiemann
- Institut
für Quantenoptik, Leibniz Universität
Hannover, Hannover 30167, Germany
| | - Olivier Dulieu
- Université
Paris-Saclay, CNRS, Laboratoire
Aimé Cotton, Orsay 91400, France
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3
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Xie T, Lepers M, Vexiau R, Orbán A, Dulieu O, Bouloufa-Maafa N. Optical Shielding of Destructive Chemical Reactions between Ultracold Ground-State NaRb Molecules. PHYSICAL REVIEW LETTERS 2020; 125:153202. [PMID: 33095632 DOI: 10.1103/physrevlett.125.153202] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/03/2020] [Accepted: 09/09/2020] [Indexed: 06/11/2023]
Abstract
We propose a method to suppress the chemical reactions between ultracold bosonic ground-state ^{23}Na^{87}Rb molecules based on optical shielding. By applying a laser with a frequency blue-detuned from the transition between the lowest rovibrational level of the electronic ground state X^{1}Σ^{+}(v_{X}=0,j_{X}=0), and the long-lived excited level b^{3}Π_{0}(v_{b}=0,j_{b}=1), the long-range dipole-dipole interaction between the colliding molecules can be engineered, leading to a dramatic suppression of reactive and photoinduced inelastic collisions, for both linear and circular laser polarizations. We demonstrate that the spontaneous emission from b^{3}Π_{0}(v_{b}=0,j_{b}=1) does not deteriorate the shielding process. This opens the possibility for a strong increase of the lifetime of cold molecule traps and for an efficient evaporative cooling. We also anticipate that the proposed mechanism is valid for alkali-metal diatomics with sufficiently large dipole-dipole interactions.
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Affiliation(s)
- T Xie
- Université Paris-Saclay, CNRS, Laboratoire Aimé Cotton, 91405 Orsay, France
| | - M Lepers
- Laboratoire Interdisciplinaire Carnot de Bourgogne, CNRS, Université de Bourgogne Franche-Comté, 21078 Dijon, France
| | - R Vexiau
- Université Paris-Saclay, CNRS, Laboratoire Aimé Cotton, 91405 Orsay, France
| | - A Orbán
- Institute for Nuclear Research (ATOMKI), H-4001 Debrecen, Pf. 51, Hungary
| | - O Dulieu
- Université Paris-Saclay, CNRS, Laboratoire Aimé Cotton, 91405 Orsay, France
| | - N Bouloufa-Maafa
- Université Paris-Saclay, CNRS, Laboratoire Aimé Cotton, 91405 Orsay, France
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4
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Guan Q, Highman M, Meier EJ, Williams GR, Scarola V, DeMarco B, Kotochigova S, Gadway B. Nondestructive dispersive imaging of rotationally excited ultracold molecules. Phys Chem Chem Phys 2020; 22:20531-20544. [PMID: 32966419 DOI: 10.1039/d0cp03419c] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
A barrier to realizing the potential of molecules for quantum information science applications is a lack of high-fidelity, single-molecule imaging techniques. Here, we present and theoretically analyze a general scheme for dispersive imaging of electronic ground-state molecules. Our technique relies on the intrinsic anisotropy of excited molecular rotational states to generate optical birefringence, which can be detected through polarization rotation of an off-resonant probe laser beam. Using 23Na87Rb and 87Rb133Cs as examples, we construct a formalism for choosing the molecular state to be imaged and the excited electronic states involved in off-resonant coupling. Our proposal establishes the relevant parameters for achieving degree-level polarization rotations for bulk molecular gases, thus enabling high-fidelity nondestructive imaging. We additionally outline requirements for the high-fidelity imaging of individually trapped molecules.
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Affiliation(s)
- Qingze Guan
- Department of Physics, Temple University, Philadelphia, PA 19122, USA.
| | - Michael Highman
- Department of Physics and IQUIST, University of Illinois at Urbana-Champaign, Urbana, IL 61801-3080, USA.
| | - Eric J Meier
- Department of Physics and IQUIST, University of Illinois at Urbana-Champaign, Urbana, IL 61801-3080, USA.
| | - Garrett R Williams
- Department of Physics and IQUIST, University of Illinois at Urbana-Champaign, Urbana, IL 61801-3080, USA.
| | - Vito Scarola
- Department of Physics, Virginia Tech, Blacksburg, VA 24061, USA.
| | - Brian DeMarco
- Department of Physics and IQUIST, University of Illinois at Urbana-Champaign, Urbana, IL 61801-3080, USA.
| | | | - Bryce Gadway
- Department of Physics and IQUIST, University of Illinois at Urbana-Champaign, Urbana, IL 61801-3080, USA.
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5
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Bause R, Li M, Schindewolf A, Chen XY, Duda M, Kotochigova S, Bloch I, Luo XY. Tune-Out and Magic Wavelengths for Ground-State ^{23}Na^{40}K Molecules. PHYSICAL REVIEW LETTERS 2020; 125:023201. [PMID: 32701321 DOI: 10.1103/physrevlett.125.023201] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/21/2019] [Accepted: 06/15/2020] [Indexed: 06/11/2023]
Abstract
We demonstrate a versatile, state-dependent trapping scheme for the ground and first excited rotational states of ^{23}Na^{40}K molecules. Close to the rotational manifold of a narrow electronic transition, we determine tune-out frequencies where the polarizability of one state vanishes while the other remains finite, and a magic frequency where both states experience equal polarizability. The proximity of these frequencies of only 10 GHz allows for dynamic switching between different trap configurations in a single experiment, while still maintaining sufficiently low scattering rates.
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Affiliation(s)
- Roman Bause
- Max-Planck-Institut für Quantenoptik, Garching 85748, Germany
- Munich Center for Quantum Science and Technology, München 80799, Germany
| | - Ming Li
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - Andreas Schindewolf
- Max-Planck-Institut für Quantenoptik, Garching 85748, Germany
- Munich Center for Quantum Science and Technology, München 80799, Germany
| | - Xing-Yan Chen
- Max-Planck-Institut für Quantenoptik, Garching 85748, Germany
- Munich Center for Quantum Science and Technology, München 80799, Germany
| | - Marcel Duda
- Max-Planck-Institut für Quantenoptik, Garching 85748, Germany
- Munich Center for Quantum Science and Technology, München 80799, Germany
| | | | - Immanuel Bloch
- Max-Planck-Institut für Quantenoptik, Garching 85748, Germany
- Munich Center for Quantum Science and Technology, München 80799, Germany
- Fakultät für Physik, Ludwig-Maximilians-Universität, München 80799, Germany
| | - Xin-Yu Luo
- Max-Planck-Institut für Quantenoptik, Garching 85748, Germany
- Munich Center for Quantum Science and Technology, München 80799, Germany
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6
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Steely A, Myers RL, Kortyna A, Huennekens J, Malenda RF, Faust C. Fitting an experimental potential energy curve for the 10(0 +)[43Π0] electronic state of NaCs. J Chem Phys 2019; 151:024307. [DOI: 10.1063/1.5100748] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Andrew Steely
- Department of Physics, Susquehanna University, 514 University Ave., Selinsgrove, Pennsylvania 17870, USA
| | - Rachel L. Myers
- Department of Physics and Earth Science, Moravian College, 1200 Main St., Bethlehem, Pennsylvania 18018, USA
| | - Andrew Kortyna
- JILA, National Institute of Standards and Technology and University of Colorado, Boulder, Colorado 80309, USA
| | - John Huennekens
- Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015, USA
| | - R. F. Malenda
- Department of Physics and Earth Science, Moravian College, 1200 Main St., Bethlehem, Pennsylvania 18018, USA
| | - Carl Faust
- Department of Physics, Susquehanna University, 514 University Ave., Selinsgrove, Pennsylvania 17870, USA
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7
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Jones J, Richter K, Price TJ, Ross AJ, Crozet P, Faust C, Malenda RF, Carlus S, Hickman AP, Huennekens J. Rotationally inelastic collisions of excited NaK and NaCs molecules with noble gas and alkali atom perturbers. J Chem Phys 2017; 147:144303. [PMID: 29031279 DOI: 10.1063/1.4997577] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We report measurements of rate coefficients at T ≈ 600 K for rotationally inelastic collisions of NaK molecules in the 2(A)1Σ+ electronic state with helium, argon, and potassium atom perturbers. Several initial rotational levels J between 14 and 44 were investigated. Collisions involving molecules in low-lying vibrational levels (v = 0, 1, and 2) of the 2(A)1Σ+ state were studied using Fourier-transform spectroscopy. Collisions involving molecules in a higher vibrational level, v = 16, were studied using pump/probe, optical-optical double resonance spectroscopy. In addition, polarization spectroscopy measurements were carried out to study the transfer of orientation in these collisions. Many, but not all, of the measurements were carried out in the "single-collision regime" where more than one collision is unlikely to occur within the lifetime of the excited molecule. The analysis of the experimental data, which is described in detail, includes an estimate of effects of multiple collisions on the reported rate coefficients. The most significant result of these experiments is the observation of a strong propensity for ΔJ = even transitions in collisions involving either helium or argon atoms; the propensity is much stronger for helium than for argon. For the initial rotational levels studied experimentally, almost all initial orientation is preserved in collisions of NaK 2(A)1Σ+ molecules with helium. Roughly between 1/3 and 2/3 of the orientation is preserved in collisions with argon, and almost all orientation is destroyed in collisions with potassium atoms. Complementary measurements on rotationally inelastic collisions of NaCs 2(A)1Σ+ with argon do not show a ΔJ = even propensity. The experimental results are compared with new theoretical calculations of collisions of NaK 2(A)1Σ+ with helium and argon. The calculations are in good agreement with the absolute magnitudes of the experimentally determined rate coefficients and accurately reproduce the very strong propensity for ΔJ = even transitions in helium collisions and the less strong propensity for ΔJ = even transitions in argon collisions. The calculations also show that collisions with helium are less likely to destroy orientation than collisions with argon, in agreement with the experimental results.
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Affiliation(s)
- J Jones
- Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015, USA
| | - K Richter
- Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015, USA
| | - T J Price
- Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015, USA
| | - A J Ross
- Institut Lumière Matiere, UMR 5306 Université Lyon I-CNRS, Université de Lyon, 69622 Villeurbanne, France
| | - P Crozet
- Institut Lumière Matiere, UMR 5306 Université Lyon I-CNRS, Université de Lyon, 69622 Villeurbanne, France
| | - C Faust
- Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015, USA
| | - R F Malenda
- Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015, USA
| | - S Carlus
- Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015, USA
| | - A P Hickman
- Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015, USA
| | - J Huennekens
- Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015, USA
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8
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Vexiau R, Borsalino D, Lepers M, Orbán A, Aymar M, Dulieu O, Bouloufa-Maafa N. Dynamic dipole polarizabilities of heteronuclear alkali dimers: optical response, trapping and control of ultracold molecules. INT REV PHYS CHEM 2017. [DOI: 10.1080/0144235x.2017.1351821] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- R. Vexiau
- Laboratoire Aimé Cotton, CNRS, Université Paris-Sud, ENS Cachan, Université Paris-Saclay, Orsay Cedex, France
| | - D. Borsalino
- Laboratoire Aimé Cotton, CNRS, Université Paris-Sud, ENS Cachan, Université Paris-Saclay, Orsay Cedex, France
| | - M. Lepers
- Laboratoire Aimé Cotton, CNRS, Université Paris-Sud, ENS Cachan, Université Paris-Saclay, Orsay Cedex, France
| | - A. Orbán
- Laboratoire Aimé Cotton, CNRS, Université Paris-Sud, ENS Cachan, Université Paris-Saclay, Orsay Cedex, France
| | - M. Aymar
- Laboratoire Aimé Cotton, CNRS, Université Paris-Sud, ENS Cachan, Université Paris-Saclay, Orsay Cedex, France
| | - O. Dulieu
- Laboratoire Aimé Cotton, CNRS, Université Paris-Sud, ENS Cachan, Université Paris-Saclay, Orsay Cedex, France
| | - N. Bouloufa-Maafa
- Laboratoire Aimé Cotton, CNRS, Université Paris-Sud, ENS Cachan, Université Paris-Saclay, Orsay Cedex, France
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9
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Mabrouk N, Berriche H. Theoretical evaluation of the radiative lifetimes of LiCs and NaCs in the A1Σ+ state. RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A 2017. [DOI: 10.1134/s0036024417080192] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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10
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Faust C, Jones J, Huennekens J, Field RW. Experimental studies of the NaCs 12(0 +) [7 1Σ +] state: Spin-orbit and non-adiabatic interactions and quantum interference in the 12(0 +) [7 1Σ +] and 11(0 +) [5 3Π 0] emission spectra. J Chem Phys 2017; 146:104302. [PMID: 28298109 DOI: 10.1063/1.4976630] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
We present results from experimental studies of the 11(0+) and 12(0+) electronic states of the NaCs molecule. An optical-optical double resonance method is used to obtain Doppler-free excitation spectra. Selected data from the 11(0+) and 12(0+) high-lying electronic states are used to obtain Rydberg-Klein-Rees and Inverse Perturbation Approach potential energy curves. Interactions between these two electronic states are evident in the patterns observed in the bound-bound and bound-free fluorescence spectra. A model, based on two separate interaction mechanisms, is presented to describe how the wavefunctions of the two states mix. The electronic parts of the wavefunctions interact via spin-orbit coupling, while the individual rotation-vibration levels interact via a second mechanism, which is likely to be non-adiabatic coupling. A modified version of the BCONT program was used to simulate resolved fluorescence from both upper states. Parameters of the model that describe the two interaction mechanisms were varied until simulations were able to adequately reproduce experimental spectra.
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Affiliation(s)
- C Faust
- Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015, USA
| | - J Jones
- Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015, USA
| | - J Huennekens
- Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015, USADepartment of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - R W Field
- Department of Physics, Lehigh University, 16 Memorial Drive East, Bethlehem, Pennsylvania 18015, USADepartment of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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11
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Pazyuk EA, Zaitsevskii AV, Stolyarov AV, Tamanis M, Ferber R. Laser synthesis of ultracold alkali metal dimers: optimization and control. RUSSIAN CHEMICAL REVIEWS 2015. [DOI: 10.1070/rcr4534] [Citation(s) in RCA: 35] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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12
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Vexiau R, Lepers M, Aymar M, Bouloufa-Maafa N, Dulieu O. Long-range interactions between polar bialkali ground-state molecules in arbitrary vibrational levels. J Chem Phys 2015; 142:214303. [PMID: 26049492 DOI: 10.1063/1.4921622] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We have calculated the isotropic C6 coefficients characterizing the long-range van der Waals interaction between two identical heteronuclear alkali-metal diatomic molecules in the same arbitrary vibrational level of their ground electronic state X(1)Σ(+). We consider the ten species made up of (7)Li, (23)Na, (39)K, (87)Rb, and (133)Cs. Following our previous work [Lepers et al., Phys. Rev. A 88, 032709 (2013)], we use the sum-over-state formula inherent to the second-order perturbation theory, composed of the contributions from the transitions within the ground state levels, from the transition between ground-state and excited state levels, and from a crossed term. These calculations involve a combination of experimental and quantum-chemical data for potential energy curves and transition dipole moments. We also investigate the case where the two molecules are in different vibrational levels and we show that the Moelwyn-Hughes approximation is valid provided that it is applied for each of the three contributions to the sum-over-state formula. Our results are particularly relevant in the context of inelastic and reactive collisions between ultracold bialkali molecules in deeply bound or in Feshbach levels.
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Affiliation(s)
- R Vexiau
- Laboratoire Aimé Cotton, CNRS/Université Paris-Sud/ENS-Cachan, Bât. 505, Campus d'Orsay, 91405 Orsay, France
| | - M Lepers
- Laboratoire Aimé Cotton, CNRS/Université Paris-Sud/ENS-Cachan, Bât. 505, Campus d'Orsay, 91405 Orsay, France
| | - M Aymar
- Laboratoire Aimé Cotton, CNRS/Université Paris-Sud/ENS-Cachan, Bât. 505, Campus d'Orsay, 91405 Orsay, France
| | - N Bouloufa-Maafa
- Laboratoire Aimé Cotton, CNRS/Université Paris-Sud/ENS-Cachan, Bât. 505, Campus d'Orsay, 91405 Orsay, France
| | - O Dulieu
- Laboratoire Aimé Cotton, CNRS/Université Paris-Sud/ENS-Cachan, Bât. 505, Campus d'Orsay, 91405 Orsay, France
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13
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Tohme SN, Korek M, Awad R. Ab initio calculations of the electronic structure of the low-lying states for the ultracold LiYb molecule. J Chem Phys 2015; 142:114312. [PMID: 25796254 DOI: 10.1063/1.4914472] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023] Open
Abstract
Ab initio techniques have been applied to investigate the electronic structure of the LiYb molecule. The potential energy curves have been computed in the Born-Oppenheimer approximation for the ground and 29 low-lying doublet and quartet excited electronic states. Complete active space self-consistent field, multi-reference configuration interaction, and Rayleigh Schrödinger perturbation theory to second order calculations have been utilized to investigate these states. The spectroscopic constants, ωe, Re, Be, …, and the static dipole moment, μ, have been investigated by using the two different techniques of calculation with five different types of basis. The eigenvalues, Ev, the rotational constant, Bv, the centrifugal distortion constant, Dv, and the abscissas of the turning points, Rmin and Rmax, have been calculated by using the canonical functions approach. The comparison between the values of the present work, calculated by different techniques, and those available in the literature for several electronic states shows a very good agreement. Twenty-one new electronic states have been studied here for the first time.
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Affiliation(s)
- Samir N Tohme
- Faculty of Science, Beirut Arab University, P.O. Box 11-5020 Riad El Solh, Beirut 1107 2809, Lebanon
| | - Mahmoud Korek
- Faculty of Science, Beirut Arab University, P.O. Box 11-5020 Riad El Solh, Beirut 1107 2809, Lebanon
| | - Ramadan Awad
- Faculty of Science, Beirut Arab University, P.O. Box 11-5020 Riad El Solh, Beirut 1107 2809, Lebanon
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14
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Pototschnig JV, Krois G, Lackner F, Ernst WE. Ab initio study of the RbSr electronic structure: potential energy curves, transition dipole moments, and permanent electric dipole moments. J Chem Phys 2014; 141:234309. [PMID: 25527937 DOI: 10.1063/1.4903791] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Excited states and the ground state of the diatomic molecule RbSr were calculated by post Hartree-Fock molecular orbital theory up to 22 000 cm(-1). We applied a multireference configuration interaction calculation based on multiconfigurational self-consistent field wave functions. Both methods made use of effective core potentials and core polarization potentials. Potential energy curves, transition dipole moments, and permanent electric dipole moments were determined for RbSr and could be compared with other recent calculations. We found a good agreement with experimental spectra, which have been obtained recently by helium nanodroplet isolation spectroscopy. For the lowest two asymptotes (Rb (5s (2)S) + Sr (5s4d (3)P°) and Rb (5p (2)P°) + Sr (5s(2) (1)S)), which exhibit a significant spin-orbit coupling, we included relativistic effects by two approaches, one applying the Breit-Pauli Hamiltonian to the multireference configuration interaction wave functions, the other combining a spin-orbit Hamiltonian and multireference configuration interaction potential energy curves. Using the results for the relativistic potential energy curves that correspond to the Rb (5s (2)S) + Sr (5s4d (3)P°) asymptote, we have simulated dispersed fluorescence spectra as they were recently measured in our lab. The comparison with experimental data allows to benchmark both methods and demonstrate that spin-orbit coupling has to be included for the lowest states of RbSr.
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Affiliation(s)
- Johann V Pototschnig
- Institute of Experimental Physics, Graz University of Technology, Petersgasse 16, A-8010 Graz, Austria
| | - Günter Krois
- Institute of Experimental Physics, Graz University of Technology, Petersgasse 16, A-8010 Graz, Austria
| | - Florian Lackner
- Institute of Experimental Physics, Graz University of Technology, Petersgasse 16, A-8010 Graz, Austria
| | - Wolfgang E Ernst
- Institute of Experimental Physics, Graz University of Technology, Petersgasse 16, A-8010 Graz, Austria
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15
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Chen YM, Kuang XY, Sheng XW, Yan XZ. Calculating and modeling the exchange energies of homonuclear and heteronuclear alkali dimers based on the surface integral method. J Phys Chem A 2014; 118:592-7. [PMID: 24417373 DOI: 10.1021/jp406949x] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
Abstract
The exchange energies of all homonuclear and heteronuclear alkali dimers are calculated based on the surface integral method. These results are generally in good agreement with both ab initio calculations and experimental results where available. It is also shown that the exchange energies could be fitted by an analytical expression of AR(b) exp(-cR). b and c can be calculated by two simple formulas that are only related to the ionization energies of the constituent atoms. A is the only parameter in this expression. More interestingly, it is found that the parameter A for the heteronuclear dimers could be approximated by a combining rule.
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Affiliation(s)
- Y M Chen
- The Institute of Atomic and Molecular Physics, Sichuan University , Chengdu, Sichuan 610065, China
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Ashman S, McGeehan B, Wolfe CM, Faust C, Richter K, Jones J, Hickman AP, Huennekens J. Experimental studies of the NaCs 5(3)Π0 and 1(a)3Σ+ states. J Chem Phys 2012; 136:114313. [PMID: 22443770 DOI: 10.1063/1.3689388] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We report high resolution measurements of 372 NaCs 5(3)Π(0)(v, J) ro-vibrational level energies in the range 0 ≤ v ≤ 22. The data have been used to construct NaCs 5(3)Π(0) potential energy curves using the Rydberg-Klein-Rees and inverted perturbation approximation methods. Bound-free 5(3)Π(0)(v, J) → 1(a)(3)Σ(+) emission has also been measured, and is used to determine the repulsive wall of the 1(a)(3)Σ(+) state and the 5(3)Π(0) → 1(a)(3)Σ(+) relative transition dipole moment function. Hyperfine structure in the 5(3)Π(0) state has not been observed in this experiment. This null result is explained using a simple vector coupling model.
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Affiliation(s)
- S Ashman
- Department of Physics, 16 Memorial Dr. East, Lehigh University, Bethlehem, Pennsylvania 18015, USA
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Sofikitis D, Fioretti A, Weber S, Horchani R, Pichler M, Li X, Allegrini M, Chatel B, Comparat D, Pillet P. Vibrational cooling of cold molecules with optimised shaped pulses. Mol Phys 2010. [DOI: 10.1080/00268971003689899] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Deiglmayr J, Aymar M, Wester R, Weidemüller M, Dulieu O. Calculations of static dipole polarizabilities of alkali dimers: Prospects for alignment of ultracold molecules. J Chem Phys 2008; 129:064309. [DOI: 10.1063/1.2960624] [Citation(s) in RCA: 114] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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