Abstract
Creation and manipulation of cold molecules from atomic Bose–Einstein condensate has opened up a new dimension to study chemical reactions at ultra-cold temperature, known as ‘superchemistry,’ which is extremely useful for the quantum control of matter wave reaction at ultra-cold temperature. Here, a coherent quantum state transfer of atomic to molecular condensate is demonstrated, mediated by solitonic excitation in the mean-field geometry. It is observed that the induced photoassociation is found to control the velocity of these excitations, which in turn controls the chemical reaction fronts. Cooperative many-body effects of photoassociation on Lieb mode have also been studied through molecular dispersion, revealing degeneracy and bistable behavior. Furthermore, it is observed that the photoassociation-induced molecular energy shows oscillatory behavior, analogous to the classical reaction process.
Graphical abstract
Similar content being viewed by others
Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors comment: Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.]
Notes
However, Shuman et al. [3] at Yale University experimentally demonstrate laser cooling of the diatomic molecule, strontium monofluoride (SrF), with a strong diagonal Franck–Condon matrix that satisfies the requirements for laser cooling.
References
J. Toscano, H. Lewandowski, B.R. Heazlewood, Phys. Chem. Chem. Phys. 22(17), 9180 (2020)
J. Li, B. Zhao, D. Xie, H. Guo, J. Phys. Chem. Lett. 11(20), 8844 (2020)
E.S. Shuman, J.F. Barry, D. DeMille, Nature 467(7317), 820 (2010)
K. Xu, T. Mukaiyama, J.R. Abo-Shaeer, J.K. Chin, D.E. Miller, W. Ketterle, Phys. Rev. Lett. 91, 210402 (2003)
J. Herbig, T. Kraemer, M. Mark, T. Weber, C. Chin, H.C. Nägerl, R. Grimm, Science 301, 1510 (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, W.D. Phillips, Phys. Rev. Lett. 88, 120403 (2002)
H. Son, J.J. Park, W. Ketterle, A.O. Jamison, Nature 580(7802), 197 (2020)
Z. Zhang, L. Chen, K.X. Yao, C. Chin, Nature 592(7856), 708 (2021)
R. Wynar, R.S. Freeland, D.J. Han, C. Ryu, D.J. Heinzen, Science 287, 1016 (2000)
M. Mark, T. Kraemer, J. Herbig, C. Chin, H.C. Nägerl, R. Grimm, Europhys. Lett. 69, 706 (2005)
I.C. Liu, J.M. Rost, Eur. Phys. J. D 40(1), 65 (2006)
K. Winkler, F. Lang, G. Thalhammer, P.v.d. Straten, R. Grimm, J.H. Denschlag, Phys. Rev. Lett. 98, 043201 (2007)
J.G. Danzl, E. Haller, M. Gustavsson, M.J. Mark, R. Hart, N. Bouloufa, O. Dulieu, H. Ritsch, H.C. Nägerl, Science 321, 1062 (2008)
A. Devolder, P. Brumer, T.V. Tscherbul, Phys. Rev. Lett. 126(15), 153403 (2021)
R.S. Tasgal, G. Menabde, Y.B. Band, Phys. Rev. A 74, 053613 (2006)
J. Ulmanis, J. Deiglmayr, M. Repp, R. Wester, M. Weidemüller, Chem. Rev. 112, 4890 (2012)
R. Roy, R. Shrestha, A. Green, S. Gupta, M. Li, S. Kotochigova, A. Petrov, C.H. Yuen, Phys. Rev. A 94, 033413 (2016)
S. Naskar, S. Saha, T.N. Dey, B. Deb, J. Phys. B: At. Mol. Opt. Phys. 50, 125003 (2017)
D.J. Heinzen, R. Wynar, P.D. Drummond, K.V. Kheruntsyan, Phys. Rev. Lett. 84, 5029 (2000)
M.T. Bell, T.P. Softley, Mol. Phys. 107(2), 99 (2009)
S.A. Moses, J.P. Covey, M.T. Miecnikowski, D.S. Jin, J. Ye, Nat. Phys. 13, 13 (2017)
B.R. Heazlewood, T.P. Softley, Nat. Rev. Chem. 5(2), 125 (2021)
F. Richter, D. Becker, C. Bény, T.A. Schulze, S. Ospelkaus, T.J. Osborne, New J. Phys. 17(5), 055005 (2015)
Y. Segev, M. Pitzer, M. Karpov, N. Akerman, J. Narevicius, E. Narevicius, Nature 572(7768), 189 (2019)
H. Yang, D.C. Zhang, L. Liu, Y.X. Liu, J. Nan, B. Zhao, J.W. Pan, Science 363(6424), 261 (2019)
F.Q. Dou, J. Yang, Y.Q. Lu, Phys. Lett. A 410, 127549 (2021)
V.A. Yurovsky, arXiv preprint arXiv:cond-mat/0611054 (2006)
L.R. Liu, J.T. Zhang, Y. Yu, N.R. Hutzler, Y. Liu, T. Rosenband, K.K. Ni, arXiv: 1701.03121 (2017)
R.M. Noyes, J. Phys. Chem. 94(11), 4404 (1990)
A. Belmonte, J.M. Flesselles, Q. Ouyang, Europhys. Lett. 35(9), 665 (1996)
K. Gizynski, J. Gorecki, Phys. Chem. Chem. Phys. 19, 6519 (2017)
J. Hou, X. Li, D. Zuo, Y. Li, Eur. Phys. J. Plus 132, 283 (2017)
P. Dähmlow, J. Almeida, S. Müller, Europhys. Lett. 116(6), 60016 (2017)
U. Al Khawaja, H. Stoof, New J. Phys. 13, 085003 (2011)
C.P. Search, P. Meystre, Phys. Rev. Lett. 93, 140405 (2004)
J. Cheng, Y. Yan, Phys. Rev. A 75, 033614 (2007)
Y.Q. Yuan, B. Tian, L. Liu, Y. Sun, Europhys. Lett. 120(3), 30001 (2017)
P.D. Drummond, K.V. Kheruntsyan, H. He, Phys. Rev. Lett. 81, 3055 (1998)
K.V. Kheruntsyan, P.D. Drummond, Phys. Rev. A 58, R2676 (1998)
T.L. Ho, V.B. Shenoy, Phys. Rev. Lett. 77, 3276 (1996)
H. Pu, N.P. Bigelow, Phys. Rev. Lett. 80, 1130 (1998)
Q.H. Park, J.H. Eberly, Phys. Rev. Lett. 85, 4195 (2000)
C. Haimberger, J. Kleinert, M. Bhattacharya, N.P. Bigelow, Phys. Rev. A 70, 021402 (2004)
P. Das, A. Khan, P.K. Panigrahi, Eur. Phys. J. D 70, 113 (2016)
S.L. Xu, J.R. He, L. Xue, M.R. Belić, Europhys. Lett. 121(3), 34004 (2018)
S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G.V. Shlyapnikov, M. Lewenstein, Phys. Rev. Lett. 83, 5198 (1999)
J. Denschlag, J.E. Simsarian, D.L. Feder, C.W. Clark, L.A. Collins, J. Cubizolles, L. Deng, E.W. Hagley, K. Helmerson, W.P. Reinhardt, S.L. Rolston, B.I. Schneider, W.D. Phillips, Science 287, 97 (2000). https://doi.org/10.1126/science.287.5450.97
L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L.D. Carr, Y. Castin, C. Salomon, Science 296, 1290 (2002). https://doi.org/10.1126/science.1071021
U. Al Khawaja, H.T.C. Stoof, R.G. Hulet, K.E. Strecker, G.B. Partridge, Phys. Rev. Lett. 89, 200404 (2002)
S.L. Cornish, S.T. Thompson, C.E. Wieman, Phys. Rev. Lett. 96, 170401 (2006)
M.R. Matthews, B.P. Anderson, P.C. Haljan, D.S. Hall, C.E. Wieman, E.A. Cornell, Phys. Rev. Lett. 83, 2498 (1999)
F. Dalfovo, S. Stringari, Phys. Rev. A 53, 2477 (1996)
J.R. Abo-Shaeer, C. Raman, J.M. Vogels, W. Ketterle, Science 292, 476 (2001). https://doi.org/10.1126/science.1060182
A. Smerzi, S. Fantoni, S. Giovanazzi, S.R. Shenoy, Phys. Rev. Lett. 79, 4950 (1997)
M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, M.K. Oberthaler, Phys. Rev. Lett. 95, 010402 (2005)
T.L. Ho, Phys. Rev. Lett. 81(4), 742 (1998)
W. Bao, Y. Cai, Comput. Phys. Commun. 24, 899 (2018)
D. Stamper-Kurn, M. Andrews, A. Chikkatur, S. Inouye, H.J. Miesner, J. Stenger, W. Ketterle, Phys. Rev. Lett. 80(10), 2027 (1998)
J. Stenger, S. Inouye, D. Stamper-Kurn, H.J. Miesner, A. Chikkatur, W. Ketterle, Nature 396(6709), 345 (1998)
Y. Kawaguchi, M. Ueda, Phys. Rep. 520(5), 253 (2012)
D.M. Stamper-Kurn, M. Ueda, Rev. Mod. Phys. 85(3), 1191 (2013)
G.P. Agrawal, P.L. Baldeck, R.R. Alfano, Phys. Rev. A 40, 5063 (1989)
E.H. Lieb, Phys. Rev. 130, 1616 (1963)
C. Pethick, H. Smith, Bose–Einstein Condensation in Dilute Gases (Cambridge University Press, 2002)
B. Oleś, K. Sacha, J. Phys. B: At. Mol. Opt. Phys. 40, 1103 (2007)
E.A. Donley, N.R. Claussen, S.T. Thompson, C.E. Wieman, Nature 417(6888), 529 (2002)
A.D. Jackson, G.M. Kavoulakis, Phys. Rev. Lett. 89, 070403 (2002)
M. Hafezi, D.E. Chang, V. Gritsev, E. Demler, M.D. Lukin, Phys. Rev. A 85, 013822 (2012)
P. Das, C. Noh, D.G. Angelakis, Europhys. Lett. 103(3), 34001 (2013)
G.S. Agarwal, T.N. Dey, Phys. Rev. A 68, 063816 (2003)
H. Jing, Y.J. Jiang, Y.G. Deng, Front. Phys. 6, 15 (2011)
K. Reim, J. Nunn, V. Lorenz, B. Sussman, K. Lee, N. Langford, D. Jaksch, I. Walmsley, Nat. Photonics 4(4), 218 (2010)
L. Allen, J.H. Eberly, Optical Resonance and Two-level Atoms (Courier Corporation, 2012)
Acknowledgements
The authors acknowledge useful discussions with Krishna Rai Dastidar and Challenger Mishra. PD acknowledges the Indian Institute of Science Education and Research Kolkata (IISER-K) and Indian Institute of Technology (IIT) Delhi for providing facilities, where the part of the present work has been completed.
Author information
Authors and Affiliations
Contributions
PKP conceived the presented idea. SM and PD carried out the theoretical formalism and performed the analytical calculations. All the authors have equally contributed to the analysis of the results and the preparation of the manuscript.
Corresponding author
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Modak, S., Das, P. & Panigrahi, P.K. Coherent quantum state transfer in ultra-cold chemistry. Eur. Phys. J. D 76, 174 (2022). https://doi.org/10.1140/epjd/s10053-022-00503-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjd/s10053-022-00503-6