, also the ground state in addition to Rydberg states, it would be possible, by using shorter wavelength trapping light, to realize BOB traps that satisfy the ground-Rydberg "magic" condition and would minimize heating and decoherence rates

, This work benefited from financial support by the EU (FET-Flag 817482, PASQUANS), by the Région Île-de-France in the framework of DIM SIRTEQ (project CARAQUES), and by the IXCORE-Fondation pour la Recherche. T. B. acknowledges the support of the European Marie Sk?odowska-Curie Actions

, Note added.-Two-dimensional trapping of circular

, * Present address: Institute for Molecular Science, National Institutes of Natural Sciences, pp.444-8585

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté et al., Phys. Rev. Lett, vol.85, p.2208, 2000.

M. Saffman, T. G. Walker, and K. Mølmer, Rev. Mod. Phys, vol.82, p.2313, 2010.

H. Weimer, M. Muller, I. Lesanovsky, P. Zoller, and H. P. Büchler, Nat. Phys, vol.6, p.382, 2010.

M. Saffman, J. Phys. B, vol.49, p.202001, 2016.

J. D. Pritchard, D. Maxwell, A. Gauguet, K. J. Weatherill, M. P. Jones et al., Phys. Rev. Lett, vol.105, p.193603, 2010.

Y. O. Dudin and A. Kuzmich, Science, vol.336, p.887, 2012.

O. Firstenberg, T. Peyronel, Q. Liang, A. V. Gorshkov, M. D. Lukin et al., Nature, vol.502, p.71, 2013.

D. Tiarks, S. Baur, K. Schneider, S. Dürr, and G. Rempe, Phys. Rev. Lett, vol.113, p.53602, 2014.

H. Gorniaczyk, C. Tresp, J. Schmidt, H. Fedder, and S. Hofferberth, Phys. Rev. Lett, vol.113, p.53601, 2014.

T. Wilk, A. Gaëtan, C. Evellin, J. Wolters, Y. Miroshnychenko et al., Phys. Rev. Lett, vol.104, p.10502, 2010.

L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage et al., Phys. Rev. Lett, vol.104, p.10503, 2010.

Y. Jau, A. M. Hankin, T. Keating, I. H. Deutsch, and G. W. Biedermann, Nat. Phys, vol.12, p.71, 2016.

H. Levine, A. Keesling, A. Omran, H. Bernien, S. Schwartz et al., Phys. Rev. Lett, vol.121, p.123603, 2018.

C. J. Picken, R. Legaie, K. Mcdonnell, and J. D. Pritchard, Quantum Sci. Technol, vol.4, p.15011, 2019.

P. Schauß, M. Cheneau, M. Endres, T. Fukuhara, S. Hild et al., Nature, vol.491, p.87, 2012.

P. Schauß, J. Zeiher, T. Fukuhara, S. Hild, M. Cheneau et al., Science, vol.347, p.1455, 2015.

J. Zeiher, J. Y. Choi, A. Rubio-abadal, T. Pohl, R. Van-bijnen et al., Phys. Rev. X, vol.7, p.41063, 2017.

H. Labuhn, D. Barredo, S. Ravets, S. De-léséleuc, T. Macrì et al., Nature, vol.534, p.667, 2016.

H. Bernien, S. Schwartz, A. Keesling, H. Levine, A. Omran et al., Nature, vol.551, p.579, 2017.

H. Kim, Y. J. Park, K. Kim, H. Sim, and J. Ahn, Phys. Rev. Lett, vol.120, p.180502, 2018.

S. De-léséleuc, V. Lienhard, P. Scholl, D. Barredo, S. Weber et al., Science, vol.365, p.775, 2019.

M. Saffman and T. G. Walker, Phys. Rev. A, vol.72, p.22347, 2005.

D. Barredo, H. Labuhn, S. Ravets, T. Lahaye, A. Browaeys et al., Phys. Rev. Lett, vol.114, p.113002, 2015.

S. De-léséleuc, D. Barredo, V. Lienhard, A. Browaeys, and T. Lahaye, Phys. Rev. A, vol.97, p.53803, 2018.

A. Ramos, K. Moore, and G. Raithel, Phys. Rev. A, vol.96, p.32513, 2017.

U. D. Jentschura, P. J. Mohr, J. N. Tan, and B. J. Wundt, Phys. Rev. Lett, vol.100, p.160404, 2008.

D. B. Cassidy, Eur. Phys. J. D, vol.72, p.53, 2018.

J. Choi, J. R. Guest, A. P. Povilus, E. Hansis, and G. Raithel, Phys. Rev. Lett, vol.95, p.243001, 2005.

D. A. Anderson, A. Schwarzkopf, R. E. Sapiro, and G. Raithel, Phys. Rev. A, vol.88, p.31401, 2013.

A. D. Bounds, N. C. Jackson, R. K. Hanley, R. Faoro, E. M. Bridge et al., Phys. Rev. Lett, vol.120, p.183401, 2018.

E. Vliegen, S. D. Hogan, H. Schmutz, and F. Merkt, Phys. Rev. A, vol.76, p.23405, 2007.

S. D. Hogan and F. Merkt, Phys. Rev. Lett, vol.100, p.43001, 2008.

S. E. Anderson, K. C. Younge, and G. Raithel, Phys. Rev. Lett, vol.107, p.263001, 2011.

L. Li, Y. O. Dudin, and A. Kuzmich, Nature, vol.498, p.466, 2013.

S. Zhang, F. Robicheaux, and M. Saffman, Phys. Rev. A, vol.84, p.43408, 2011.

S. Zhang, , 2012.

R. Ozeri, L. Khaykovich, and N. Davidson, Phys. Rev. A, vol.59, p.1750, 1999.

P. Xu, X. He, J. Wang, and M. Zhan, Opt. Lett, vol.35, p.2164, 2010.

D. Barredo, V. Lienhard, S. De-léséleuc, T. Lahaye, and A. Browaeys, Nature, vol.561, p.79, 2018.

J. L. Chaloupka, Y. Fisher, T. J. Kessler, and D. D. Meyerhofer, Opt. Lett, vol.22, p.1021, 1997.

, The residual light intensity at the origin is below 1% of the maximal intensity of the beam

S. K. Dutta, J. R. Guest, D. Feldbaum, A. Walz-flannigan, and G. Raithel, Phys. Rev. Lett, vol.85, p.5551, 2000.

C. Tuchendler, A. M. Lance, A. Browaeys, Y. R. Sortais, and P. Grangier, Phys. Rev. A, vol.78, p.33425, 2008.

Y. R. Sortais, H. Marion, C. Tuchendler, A. M. Lance, M. Lamare et al., Phys. Rev. A, vol.75, p.13406, 2007.

,

I. I. Beterov, I. I. Ryabtsev, D. B. Tretyakov, and V. M. Entin, Phys. Rev. A, vol.79, p.52504, 2009.

N. ?ibali?, J. Pritchard, C. Adams, and K. Weatherill, Comput. Phys. Commun, vol.220, p.319, 2017.

M. Archimi, C. Simonelli, L. D. Virgilio, A. Greco, M. Ceccanti et al., Phys. Rev. A, vol.100, p.30501, 2019.

R. M. Potvliege and C. S. Adams, New J. Phys, vol.8, p.163, 2006.

S. De-léséleuc, D. Barredo, V. Lienhard, A. Browaeys, and T. Lahaye, Phys. Rev. Lett, vol.119, p.53202, 2017.

A. M. Kaufman, B. J. Lester, and C. A. , Phys. Rev. X, vol.2, p.41014, 2012.

J. D. Thompson, T. G. Tiecke, A. S. Zibrov, V. Vuleti?, and M. D. Lukin, Phys. Rev. Lett, vol.110, p.133001, 2013.

T. L. Nguyen, J. M. Raimond, C. Sayrin, R. Cortiñas, T. Cantat-moltrecht et al., Phys. Rev. X, vol.8, p.11032, 2018.

M. J. Piotrowicz, M. Lichtman, K. Maller, G. Li, S. Zhang et al., Phys. Rev. A, vol.88, p.13420, 2013.

R. G. Cortiñas, M. Favier, B. Ravon, P. Méhaignerie, Y. Machu et al.,