Abstract
We present a guide to calculate the interactions between Rydberg states, and put into evidence the importance of the anisotropic and state-mixing character of these interactions for p and d states. We then summarize recent theoretical results obtained in this context related to the formation of anisotropic Rydberg excitation patterns and the influence of state-mixing on the familiar Rydberg blockade phenomenon.
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References
T.F. Gallagher, Rydberg Atoms, Cambridge Monographs on Atomic, Molecular and Chemical Physics (Cambridge University Press, 2005)
R. Löw, H. Weimer, J. Nipper, J.B. Balewski, B. Butscher, H. Büchler, T. Pfau, J. Phys. B: At. Mol. Opt. Phys. 45, 113001 (2012)
M. Saffman, T.G. Walker, K. Mølmer, Rev. Mod. Phys. 82, 2313 (2010)
D. Jaksch, J.I. Cirac, P. Zoller, S.L. Rolston, R. Côté, M.D. Lukin, Phys. Rev. Lett. 85, 2208 (2000)
M.D. Lukin, M. Fleischhauer, R. Cote, L.M. Duan, D. Jaksch, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 87, 37901 (2001)
A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, P. Grangier, Nat. Phys. 5, 115 (2009)
E. Urban, T.A. Johnson, T. Henage, L. Isenhower, D.D. Yavuz, T.G. Walker, M. Saffman, Nat. Phys. 5, 110 (2009)
D. Tong, S.M. Farooqi, J. Stanojevic, S. Krishnan, Y.P. Zhang, R. Côté, E.E. Eyler, P.L. Gould, Phys. Rev. Lett. 93, 063001 (2004)
K. Singer, M. Reetz-Lamour, T. Amthor, L.G. Marcassa, M. Weidemüller, Phys. Rev. Lett. 93, 163001 (2004)
P. Cheinet, S. Trotzky, M. Feld, U. Schnorrberger, M. Moreno-Cardoner, S. Fölling, I. Bloch, Phys. Rev. Lett. 101, 090404 (2008)
P. Schauß, M. Cheneau, M. Endres, T. Fukuhara, S. Hild, A. Omran, T. Pohl, C. Gross, S. Kuhr, I. Bloch, Nature 491, 87 (2012)
N. Malossi, M.M. Valado, S. Scotto, P. Huillery, P. Pillet, D. Ciampini, E. Arimondo, O. Morsch, Phys. Rev. Lett. 113, 023006 (2014)
H. Schempp, G. Günter, M. Robert-de Saint-Vincent, C.S. Hofmann, D. Breyel, A. Komnik, D.W. Schönleber, M. Gärttner, J. Evers, S. Whitlock, M. Weidemüller, Phys. Rev. Lett. 112, 013002 (2014)
J. Zeiher, P. Schauß, S. Hild, T. Macrì, I. Bloch, C. Gross, Phys. Rev. X 5, 031015 (2015)
A. Reinhard, T. Liebisch, B. Knuffman, G. Raithel, Phys. Rev. A 75, 032712 (2007)
K. Singer, J. Stanojevic, M. Weidemüller, R. Côté, J. Phys. B: At. Mol. Opt. Phys. 38, S295 (2005)
T. WalkerM. Saffman, Phys. Rev. A 77, 032723 (2008)
B. Vermersch, M. Punk, A.W. Glaetzle, C. Gross, P. Zoller, New J. Phys. 17, 19 (2015)
B. Vermersch, A.W. Glaetzle, P. Zoller, Phys. Rev. A 91, 023411 (2015)
M. Marinescu, H. Sadeghpour, A. Dalgarno, Phys. Rev. A 49, 982 (1994)
A.W. Glaetzle, M. Dalmonte, R. Nath, I. Rousochatzakis, R. Moessner, P. Zoller, Quantum Spin Ice and dimer models with Rydberg atoms 1, 26 (2014)
W. Li, I. Mourachko, M. Noel, T. Gallagher, Phys. Rev. A 67, 052502 (2003)
J. Han, Y. Jamil, D. Norum, P. Tanner, T. Gallagher, Phys. Rev. A 74, 054502 (2006)
J.D. Pritchard, Cooperative Optical Non-linearity in a blockaded Rydberg Ensemble, Ph.D. thesis, Durham University, 2011, p. 210
M.A. Baranov, M. Dalmonte, G. Pupillo, P. Zoller, Chem. Rev. 112, 5012 (2012)
N.Y. Yao, C.R. Laumann, A.V. Gorshkov, S.D. Bennett, E. Demler, P. Zoller, M.D. Lukin, Phys. Rev. Lett. 109, 266804 (2012)
S. Ravets, H. Labuhn, D. Barredo, T. Lahaye, A. Browaeys, Phys. Rev. A 92, 020701(R) (2015)
H. Weimer, H.P. Büchler, Phys. Rev. Lett. 105, 230403 (2010)
E. Sela, M. Punk, M. Garst, Phys. Rev. B 84, 085434 (2011)
P. Schauß, J. Zeiher, T. Fukuhara, S. Hild, M. Cheneau, T. Macrì, T. Pohl, I. Bloch, C. Gross, Science 347, 1455 (2015)
T. Pohl, P. Berman, Phys. Rev. Lett. 102, 013004 (2009)
D. Barredo, S. Ravets, H. Labuhn, L. Béguin, A. Vernier, F. Nogrette, T. Lahaye, A. Browaeys, Phys. Rev. Lett. 112, 183002 (2014)
A.W. Glaetzle, M. Dalmonte, R. Nath, C. Gross, I. Bloch, P. Zoller, Phys. Rev. Lett. 114, 1 (2015)
R.M.W. van Bijnen, T. Pohl, Phys. Rev. Lett. 114, 243002 (2015)
C. Tresp, P. Bienias, S. Weber, H. Gorniaczyk, I. Mirgorodskiy, H.P. Büchler, S. Hofferberth, Phys. Rev. Lett. 115, 083602 (2015)
B. Vermersch, T. Ramos, P. Hauke, P. Zoller, Phys. Rev. A 93, 063830 (2016)
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Vermersch, B. Anisotropy and state mixing in the interactions between Rydberg states. Eur. Phys. J. Spec. Top. 225, 2977–2991 (2016). https://doi.org/10.1140/epjst/e2015-50337-x
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DOI: https://doi.org/10.1140/epjst/e2015-50337-x