Photon-photon interactions in Rydberg-atom arrays

Lida Zhang1, Valentin Walther1,2, Klaus Mølmer1, and Thomas Pohl1

1Center for Complex Quantum Systems, Department of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C, Denmark
2ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA

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Abstract

We investigate the interaction of weak light fields with two-dimensional lattices of atoms with high lying atomic Rydberg states. This system features different interactions that act on disparate length scales, from zero-range defect scattering of atomic excitations and finite-range dipole exchange processes to long-range Rydberg-state interactions, which span the entire array and can block multiple Rydberg excitations. Analyzing their interplay, we identify conditions that yield a nonlinear quantum mirror which coherently splits incident fields into correlated photon-pairs in a single transverse mode, while transmitting single photons unaffected. In particular, we find strong anti-bunching of the transmitted light with equal-time pair correlations that decrease exponentially with an increasing range of the Rydberg blockade. Such strong photon-photon interactions in the absence of photon losses open up promising avenues for the generation and manipulation of quantum light, and the exploration of many-body phenomena with interacting photons.

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[1] D. E. Chang, V. Vuletić, and M. D. Lukin, Nature Photonics 8, 685 (2014).
https:/​/​doi.org/​10.1038/​nphoton.2014.192

[2] K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Nature 436, 87 (2005).
https:/​/​doi.org/​10.1038/​nature03804

[3] J. Volz, M. Scheucher, C. Junge, and A. Rauschenbeutel, Nature Photonics 8, 965 (2014).
https:/​/​doi.org/​10.1038/​nphoton.2014.253

[4] A. Reiserer and G. Rempe, Rev. Mod. Phys. 87, 1379 (2015).
https:/​/​doi.org/​10.1103/​RevModPhys.87.1379

[5] S. Welte, B. Hacker, S. Daiss, S. Ritter, and G. Rempe, Phys. Rev. X 8, 011018 (2018).
https:/​/​doi.org/​10.1103/​PhysRevX.8.011018

[6] D. O'Shea, C. Junge, J. Volz, and A. Rauschenbeutel, Phys. Rev. Lett. 111, 193601 (2013).
https:/​/​doi.org/​10.1103/​PhysRevLett.111.193601

[7] A. Goban, K. S. Choi, D. J. Alton, D. Ding, C. Lacroûte, M. Pototschnig, T. Thiele, N. P. Stern, and H. J. Kimble, Phys. Rev. Lett. 109, 033603 (2012).
https:/​/​doi.org/​10.1103/​PhysRevLett.109.033603

[8] J. D. Thompson, T. G. Tiecke, N. P. de Leon, J. Feist, A. V. Akimov, M. Gullans, A. S. Zibrov, V. Vuletić, and M. D. Lukin, Science 340, 1202 (2013).
https:/​/​doi.org/​10.1126/​science.1237125

[9] T. G. Tiecke, J. D. Thompson, N. P. de Leon, L. R. Liu, V. Vuletić, and M. D. Lukin, Nature 508, 241 (2014).
https:/​/​doi.org/​10.1038/​nature13188

[10] J. Petersen, J. Volz, and A. Rauschenbeutel, Science 346, 67 (2014).
https:/​/​doi.org/​10.1126/​science.1257671

[11] P. Lodahl, S. Mahmoodian, and S. Stobbe, Rev. Mod. Phys. 87, 347 (2015).
https:/​/​doi.org/​10.1103/​RevModPhys.87.347

[12] D. E. Chang, J. S. Douglas, A. González-Tudela, C.-L. Hung, and H. J. Kimble, Rev. Mod. Phys. 90, 031002 (2018).
https:/​/​doi.org/​10.1103/​RevModPhys.90.031002

[13] M. Noaman, M. Langbecker, and P. Windpassinger, Opt. Lett. 43, 3925 (2018).
https:/​/​doi.org/​10.1364/​OL.43.003925

[14] S.-P. Yu, J. A. Muniz, C.-L. Hung, and H. J. Kimble, Proceedings of the National Academy of Sciences 116, 12743 (2019).
https:/​/​doi.org/​10.1073/​pnas.1822110116

[15] A. S. Prasad, J. Hinney, S. Mahmoodian, K. Hammerer, S. Rind, P. Schneeweiss, A. S. Sørensen, J. Volz, and A. Rauschenbeutel, Nature Photonics 14, 719 (2020).
https:/​/​doi.org/​10.1038/​s41566-020-0692-z

[16] J. D. Pritchard, D. Maxwell, A. Gauguet, K. J. Weatherill, M. P. A. Jones, and C. S. Adams, Phys. Rev. Lett. 105, 193603 (2010).
https:/​/​doi.org/​10.1103/​PhysRevLett.105.193603

[17] T. Peyronel, O. Firstenberg, Q.-Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletić, Nature 488, 57 (2012).
https:/​/​doi.org/​10.1038/​nature11361

[18] J. D. Thompson, T. L. Nicholson, Q.-Y. Liang, S. H. Cantu, A. V. Venkatramani, S. Choi, I. A. Fedorov, D. Viscor, T. Pohl, M. D. Lukin, and V. Vuletić, Nature 542, 206 (2017).
https:/​/​doi.org/​10.1038/​nature20823

[19] A. Paris-Mandoki, C. Braun, J. Kumlin, C. Tresp, I. Mirgorodskiy, F. Christaller, H. P. Büchler, and S. Hofferberth, Phys. Rev. X 7, 041010 (2017).
https:/​/​doi.org/​10.1103/​PhysRevX.7.041010

[20] C. Murray and T. Pohl, Advances In Atomic, Molecular, and Optical Physics, 65, 321 (2016).
https:/​/​doi.org/​10.1016/​bs.aamop.2016.04.005

[21] O. Firstenberg, C. S. Adams, and S. Hofferberth, J. Phys B 49, 152003 (2016).
https:/​/​doi.org/​10.1088/​0953-4075/​49/​15/​152003

[22] S. Baur, D. Tiarks, G. Rempe, and S. Dürr, Phys. Rev. Lett. 112, 073901 (2014).
https:/​/​doi.org/​10.1103/​PhysRevLett.112.073901

[23] H. Gorniaczyk, C. Tresp, J. Schmidt, H. Fedder, and S. Hofferberth, Phys. Rev. Lett. 113, 053601 (2014).
https:/​/​doi.org/​10.1103/​PhysRevLett.113.053601

[24] D. Tiarks, S. Baur, K. Schneider, S. Dürr, and G. Rempe, Phys. Rev. Lett. 113, 053602 (2014).
https:/​/​doi.org/​10.1103/​PhysRevLett.113.053602

[25] D. Tiarks, S. Schmidt-Eberle, T. Stolz, G. Rempe, and S. Dürr, Nature Physics 15, 124 (2019).
https:/​/​doi.org/​10.1038/​s41567-018-0313-7

[26] A. V. Gorshkov, R. Nath, and T. Pohl, Phys. Rev. Lett. 110, 153601 (2013).
https:/​/​doi.org/​10.1103/​PhysRevLett.110.153601

[27] C. R. Murray, I. Mirgorodskiy, C. Tresp, C. Braun, A. Paris-Mandoki, A. V. Gorshkov, S. Hofferberth, and T. Pohl, Phys. Rev. Lett. 120, 113601 (2018).
https:/​/​doi.org/​10.1103/​PhysRevLett.120.113601

[28] C. R. Murray, A. V. Gorshkov, and T. Pohl, New Journal of Physics 18, 092001 (2016).
https:/​/​doi.org/​10.1088/​1367-2630/​18/​9/​092001

[29] J. Otterbach, M. Moos, D. Muth, and M. Fleischhauer, Phys. Rev. Lett. 111, 113001 (2013).
https:/​/​doi.org/​10.1103/​PhysRevLett.111.113001

[30] E. Zeuthen, M. J. Gullans, M. F. Maghrebi, and A. V. Gorshkov, Phys. Rev. Lett. 119, 043602 (2017).
https:/​/​doi.org/​10.1103/​PhysRevLett.119.043602

[31] P. Bienias, J. Douglas, A. Paris-Mandoki, P. Titum, I. Mirgorodskiy, C. Tresp, E. Zeuthen, M. J. Gullans, M. Manzoni, S. Hofferberth, D. Chang, and A. V. Gorshkov, Phys. Rev. Research 2, 033049 (2020).
https:/​/​doi.org/​10.1103/​PhysRevResearch.2.033049

[32] G. Facchinetti, S. D. Jenkins, and J. Ruostekoski, Phys. Rev. Lett. 117, 243601 (2016).
https:/​/​doi.org/​10.1103/​PhysRevLett.117.243601

[33] J. Perczel, J. Borregaard, D. E. Chang, H. Pichler, S. F. Yelin, P. Zoller, and M. D. Lukin, Phys. Rev. Lett. 119, 023603 (2017).
https:/​/​doi.org/​10.1103/​PhysRevLett.119.023603

[34] R. J. Bettles, J. c. v. Minář, C. S. Adams, I. Lesanovsky, and B. Olmos, Phys. Rev. A 96, 041603 (2017).
https:/​/​doi.org/​10.1103/​PhysRevA.96.041603

[35] P.-O. Guimond, A. Grankin, D. V. Vasilyev, B. Vermersch, and P. Zoller, Phys. Rev. Lett. 122, 093601 (2019).
https:/​/​doi.org/​10.1103/​PhysRevLett.122.093601

[36] K. E. Ballantine and J. Ruostekoski, Phys. Rev. Lett. 125, 143604 (2020).
https:/​/​doi.org/​10.1103/​PhysRevLett.125.143604

[37] R. J. Bettles, S. A. Gardiner, and C. S. Adams, Phys. Rev. Lett. 116, 103602 (2016).
https:/​/​doi.org/​10.1103/​PhysRevLett.116.103602

[38] E. Shahmoon, D. S. Wild, M. D. Lukin, and S. F. Yelin, Phys. Rev. Lett. 118, 113601 (2017).
https:/​/​doi.org/​10.1103/​PhysRevLett.118.113601

[39] J. Rui, D. Wei, A. Rubio-Abadal, S. Hollerith, J. Zeiher, D. M. Stamper-Kurn, C. Gross, and I. Bloch, Nature 583, 369 (2020).
https:/​/​doi.org/​10.1038/​s41586-020-2463-x

[40] A. Grankin, P. O. Guimond, D. V. Vasilyev, B. Vermersch, and P. Zoller, Phys. Rev. A 98, 043825 (2018).
https:/​/​doi.org/​10.1103/​PhysRevA.98.043825

[41] R. Bekenstein, I. Pikovski, H. Pichler, E. Shahmoon, S. F. Yelin, and M. D. Lukin, Nature Physics 16, 676 (2020).
https:/​/​doi.org/​10.1038/​s41567-020-0845-5

[42] A. Cidrim, T. S. do Espirito Santo, J. Schachenmayer, R. Kaiser, and R. Bachelard, Phys. Rev. Lett. 125, 073601 (2020).
https:/​/​doi.org/​10.1103/​PhysRevLett.125.073601

[43] L. A. Williamson, M. O. Borgh, and J. Ruostekoski, Phys. Rev. Lett. 125, 073602 (2020).
https:/​/​doi.org/​10.1103/​PhysRevLett.125.073602

[44] M. Moreno-Cardoner, D. Goncalves, and D. E. Chang, Phys. Rev. Lett. 127, 263602 (2021).
https:/​/​doi.org/​10.1103/​PhysRevLett.127.263602

[45] N. Henkel, R. Nath, and T. Pohl, Phys. Rev. Lett. 104, 195302 (2010).
https:/​/​doi.org/​10.1103/​PhysRevLett.104.195302

[46] J. Zeiher, P. Schauß, S. Hild, T. Macrì, I. Bloch, and C. Gross, Phys. Rev. X 5, 031015 (2015).
https:/​/​doi.org/​10.1103/​PhysRevX.5.031015

[47] D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, Phys. Rev. Lett. 85, 2208 (2000).
https:/​/​doi.org/​10.1103/​PhysRevLett.85.2208

[48] M. D. Lukin, M. Fleischhauer, R. Cote, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 87, 037901 (2001).
https:/​/​doi.org/​10.1103/​PhysRevLett.87.037901

[49] M. Saffman, T. G. Walker, and K. Mølmer, Rev. Mod. Phys. 82, 2313 (2010).
https:/​/​doi.org/​10.1103/​RevModPhys.82.2313

[50] C. S. Adams, J. D. Pritchard, and J. P. Shaffer, Journal of Physics B: Atomic, Molecular and Optical Physics 53, 012002 (2019).
https:/​/​doi.org/​10.1088/​1361-6455/​ab52ef

[51] D. F. V. James, Phys. Rev. A 47, 1336 (1993).
https:/​/​doi.org/​10.1103/​PhysRevA.47.1336

[52] H. T. Dung, L. Knöll, and D.-G. Welsch, Phys. Rev. A 66, 063810 (2002).
https:/​/​doi.org/​10.1103/​PhysRevA.66.063810

[53] A. Asenjo-Garcia, J. D. Hood, D. E. Chang, and H. J. Kimble, Phys. Rev. A 95, 033818 (2017).
https:/​/​doi.org/​10.1103/​PhysRevA.95.033818

[54] H. Zoubi and H. Ritsch, Phys. Rev. A 83, 063831 (2011).
https:/​/​doi.org/​10.1103/​PhysRevA.83.063831

[55] R. T. Sutherland and F. Robicheaux, Phys. Rev. A 94, 013847 (2016).
https:/​/​doi.org/​10.1103/​PhysRevA.94.013847

[56] R. J. Bettles, S. A. Gardiner, and C. S. Adams, Phys. Rev. A 92, 063822 (2015).
https:/​/​doi.org/​10.1103/​PhysRevA.92.063822

[57] Y.-X. Zhang and K. Mølmer, Phys. Rev. Lett. 122, 203605 (2019).
https:/​/​doi.org/​10.1103/​PhysRevLett.122.203605

[58] A. Glicenstein, G. Ferioli, N. Šibalić, L. Brossard, I. Ferrier-Barbut, and A. Browaeys, Phys. Rev. Lett. 124, 253602 (2020).
https:/​/​doi.org/​10.1103/​PhysRevLett.124.253602

[59] A. Piñeiro Orioli and A. M. Rey, Phys. Rev. Lett. 123, 223601 (2019).
https:/​/​doi.org/​10.1103/​PhysRevLett.123.223601

[60] M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. 84, 5094 (2000).
https:/​/​doi.org/​10.1103/​PhysRevLett.84.5094

[61] E. Arimondo, Progress in Optics, 35, 257 (1996).
https:/​/​doi.org/​10.1016/​S0079-6638(08)70531-6

[62] M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
https:/​/​doi.org/​10.1103/​RevModPhys.77.633

[63] M. T. Manzoni, M. Moreno-Cardoner, A. Asenjo-Garcia, J. V. Porto, A. V. Gorshkov, and D. E. Chang, New Journal of Physics 20, 083048 (2018).
https:/​/​doi.org/​10.1088/​1367-2630/​aadb74

[64] C. R. Murray, and T. Pohl, Phys. Rev. X 7, 031007 (2017).
https:/​/​doi.org/​10.1103/​PhysRevX.7.031007

[65] K. Mølmer, Y. Castin, and J. Dalibard, J. Opt. Soc. Am. B 10, 524 (1993).
https:/​/​doi.org/​10.1364/​JOSAB.10.000524

[66] N. Stiesdal, H. Busche, K. Kleinbeck, J. Kumlin, M. G. Hansen, H. P. Büchler, and S. Hofferberth, Nature Communications 12, 4328 (2021).
https:/​/​doi.org/​10.1038/​s41467-021-24522-w

[67] A. S. Parkins, P. Marte, P. Zoller, and H. J. Kimble, Phys. Rev. Lett. 71, 3095 (1993).
https:/​/​doi.org/​10.1103/​PhysRevLett.71.3095

[68] T. C. Ralph, I. Söllner, S. Mahmoodian, A. G. White, and P. Lohdal, Phys. Rev. Lett. 114, 173603 (1993).
https:/​/​doi.org/​10.1103/​PhysRevLett.114.173603

[69] D. Witthaut, M. D. Lukin, and A. S. Sørensen, EPL 97, 50007 (2015).
https:/​/​doi.org/​10.1209/​0295-5075/​97/​50007

[70] E. Shahmoon, D. S. Wild, M. D. Lukin, and S. F. Yelin, ``Theory of cavity qed with 2d atomic arrays,'' (2020), arXiv:2006.01972.
https:/​/​doi.org/​10.48550/​arXiv.2006.01972
arXiv:arXiv:2006.01972

[71] R. Demkowicz-Dobrzański, M. Jarzyna, and J. Kołlodyński, Progress in Optics, 60, 345 (2015).
https:/​/​doi.org/​10.1016/​bs.po.2015.02.003

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[3] Simon Panyella Pedersen, Lida Zhang, and Thomas Pohl, "Quantum nonlinear optics in atomic dual arrays", arXiv:2201.06544.

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[9] Ole A. Iversen and Thomas Pohl, "Self-ordering of individual photons in waveguide QED and Rydberg-atom arrays", Physical Review Research 4 2, 023002 (2022).

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