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Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

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2018 Impact Factor: 2.483

Front. Phys.    2022, Vol. 17 Issue (2) : 22502    https://doi.org/10.1007/s11467-021-1105-6
RESEARCH ARTICLE
Single-photon-level light storage with distributed Rydberg excitations in cold atoms
Hanxiao Zhang1, Jinhui Wu1(), M. Artoni2, G. C. La Rocca3
1. Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China
2. Department of Engineering and Information Technology and Istituto Nazionale di Ottica (INO-CNR), Brescia University, 25133 Brescia, Italy
3. Scuola Normale Superiore and CNISM, 56126 Pisa, Italy
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Abstract

We present an improved version of the superatom (SA) model to examine the slow-light dynamics of a few-photons signal field in cold Rydberg atoms with van der Waals (vdW) interactions. A main feature of this version is that it promises consistent estimations on total Rydberg excitations based on dynamic equations of SAs or atoms. We consider two specific cases in which the incident signal field contains more photons with a smaller detuning or less photons with a larger detuning so as to realize the single-photon-level light storage. It is found that vdW interactions play a significant role even for the slow-light dynamics of a single-photon signal field as distributed Rydberg excitations are inevitable in the picture of dark-state polariton. Moreover, the stored (retrieved) signal field exhibits a clearly asymmetric (more symmetric) profile because its leading and trailing edges undergo different (identical) traveling journeys, and higher storage/retrieval efficiencies with well preserved profiles apply only to weaker and well detuned signal fields. These findings are crucial to understand the nontrivial interplay of single-photon-level light storage and distributed Rydberg excitations.

Keywords few-photons light storage      distributed Rydberg excitation      cold Rydberg atom      improved superatom model     
Corresponding Author(s): Jinhui Wu   
Issue Date: 30 August 2021
 Cite this article:   
Hanxiao Zhang,Jinhui Wu,M. Artoni, et al. Single-photon-level light storage with distributed Rydberg excitations in cold atoms[J]. Front. Phys. , 2022, 17(2): 22502.
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https://academic.hep.com.cn/fop/EN/10.1007/s11467-021-1105-6
https://academic.hep.com.cn/fop/EN/Y2022/V17/I2/22502
1 A. K. Ekert, Quantum cryptography based on Bell’s theorem, Phys. Rev. Lett. 67(6), 661 (1991)
https://doi.org/10.1103/PhysRevLett.67.661
2 H. P. Zeng, G. Wu, E. Wu, H. F. Pan, C. Y. Zhou, F. Treussart, and J. F. Roch, Generation and detection of infrared single photons and their applications, Front. Phys. China 1(1), 1 (2006)
https://doi.org/10.1007/s11467-005-0019-z
3 L. M. Duan, M. D. Lukin, J. I. Cirac, and P. Zoller, Long distance quantum communication with atomic ensembles and linear optics, Nature 414(6862), 413 (2001)
https://doi.org/10.1038/35106500
4 E. Knill, R. Laflamme, and G. J. Milburn, A scheme for efficient quantum computation with linear optics, Nature 409(6816), 46 (2001)
https://doi.org/10.1038/35051009
5 K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Photon blockade in an optical cavity with one trapped atom, Nature 436(7047), 87 (2005)
https://doi.org/10.1038/nature03804
6 Y. Colombe, T. Steinmetz, G. Dubois, F. Linke, D. Hunger, and J. Reichel, Strong atom-field coupling for Bose–Einstein condensates in an optical cavity on a chip, Nature 450(7167), 272 (2007)
https://doi.org/10.1038/nature06331
7 A. Kubanek, A. Ourjoumtsev, I. Schuster, M. Koch, P. W. H. Pinkse, K. Murr, and G. Rempe, Two-photon gateway in one-atom cavity quantum electrodynamics, Phys. Rev. Lett. 101(20), 203602 (2008)
https://doi.org/10.1103/PhysRevLett.101.203602
8 M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Electromagnetically induced transparency: Optics in coherent media, Rev. Mod. Phys. 77(2), 633 (2005)
https://doi.org/10.1103/RevModPhys.77.633
9 C. Möhl, N. L. R. Spong, Y. C. Jiao, C. So, T. Ilieva, M. Weidemüller, and C. S. Adams, Photon correlation transients in a weakly blockaded Rydberg ensemble, J. Phys. At. Mol. Opt. Phys. 53(8), 084005 (2020)
https://doi.org/10.1088/1361-6455/ab728f
10 Z. Y. Shen, H. L. Yang, X. Liu, X. J. Huang, T. Y. Xiang, J. Wu, and W. Chen, Electromagnetically induced transparency in novel dual-band metamaterial excited by toroidal dipolar response, Front. Phys. 15(1), 12601 (2020)
https://doi.org/10.1007/s11467-019-0928-x
11 C. Ottaviani, D. Vitali, M. Artoni, F. Cataliotti, and P. Tombesi, Polarization qubit phase gate in driven atomic media, Phys. Rev. Lett. 90(19), 197902 (2003)
https://doi.org/10.1103/PhysRevLett.90.197902
12 Z. B. Wang, K. P. Marzlin, and B. C. Sanders, Large crossphase modulation between slow copropagating weak pulses in 87Rb, Phys. Rev. Lett. 97(6), 063901 (2006)
https://doi.org/10.1103/PhysRevLett.97.063901
13 B. W. Shiau, M. C. Wu, C. C. Lin, and Y. C. Chen, Lowlight-level cross-phase modulation with double slow light pulses, Phys. Rev. Lett. 106(19), 193006 (2011)
https://doi.org/10.1103/PhysRevLett.106.193006
14 M. Saffman, T. G. Walker, and K. Molmer, Quantum information with Rydberg atoms, Rev. Mod. Phys. 82(3), 2313 (2010)
https://doi.org/10.1103/RevModPhys.82.2313
15 J. Hwang, M. Pototschnig, R. Lettow, G. Zumofen, A. Renn, S. Götzinger, and V. Sandoghdar, A single-molecule optical transistor, Nature 460(7251), 76 (2009)
https://doi.org/10.1038/nature08134
16 J. D. Pritchard, K. J. Weatherill, and C. S. Adams, Nonlinear optics using cold Rydberg atoms, Annu. Rev. Cold At. Mol. 1, 301 (2013)
https://doi.org/10.1142/9789814440400_0008
17 O. Firstenberg, C. S. Adams, and S. Hofferberth, Nonlinear quantum optics mediated by Rydberg interactions, J. Phys. At. Mol. Opt. Phys.49(15), 152003 (2016)
https://doi.org/10.1088/0953-4075/49/15/152003
18 Y. O. Dudin and A. Kuzmich, Strongly interacting Rydberg excitations of a cold atomic gas, Science 336(6083), 887 (2012)
https://doi.org/10.1126/science.1217901
19 H. Gorniaczyk, C. Tresp, J. Schmidt, H. Fedder, and S. Hofferberth, Single-photon transistor mediated by interstate Rydberg interactions, Phys. Rev. Lett.113(5), 053601 (2014)
https://doi.org/10.1103/PhysRevLett.113.053601
20 D. Tiarks, S. Schmidt, G. Rempe, and S. Durr, Optical πphase shift created with a single-photon pulse, Sci. Adv.2(4), e1600036 (2016)
https://doi.org/10.1126/sciadv.1600036
21 A. Padrón-Brito, R. Tricarico, P. Farrera, E. Distante, K. Theophilo, D. Chang, and H. de Riedmatten, Transient dynamics of the quantum light retrieved from Rydberg polaritons, New J. Phys. 23(6), 063009 (2021)
https://doi.org/10.1088/1367-2630/abfc19
22 J. D. Pritchard, D. Maxwell, A. Gauguet, K. J. Weatherill, M. P. A. Jones, and C. S. Adams, Cooperative atom–light interaction in a blockade Rydberg ensemble, Phys. Rev. Lett. 105(19), 193603 (2010)
https://doi.org/10.1103/PhysRevLett.105.193603
23 P. Bienias, S. Choi, O. Firstenberg, M. F. Maghrebi, M. Gullans, M. D. Lukin, A. V. Gorshkov, and H. P. Buchler, Scattering resonances and bound states for strongly interacting Rydberg polaritons, Phys. Rev. A 90(5), 053804 (2014)
https://doi.org/10.1103/PhysRevA.90.053804
24 M. F. Maghrebi, M. J. Gullans, P. Bienias, S. Choi, I. Martin, O. Firstenberg, M. D. Lukin, H. P. Buchler, and A. V. Gorshkov, Coulomb bound states of strongly interacing photons, Phys. Rev. Lett. 115(12), 123601 (2015)
https://doi.org/10.1103/PhysRevLett.115.123601
25 M. Moos, R. Unanyan, and M. Fleischhauer, Creation and detection of photonic molecules in Rydberg gases, Phys. Rev. A 96(2), 023853 (2017)
https://doi.org/10.1103/PhysRevA.96.023853
26 M. D. Lukin, M. Fleischhauer, R. Côté, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, Dipole blockade and quantum information processing in mesoscopic atomic ensembles, Phys. Rev. Lett. 87(3), 037901 (2001)
https://doi.org/10.1103/PhysRevLett.87.037901
27 D. Tong, S. M. Farooqi, J. Stanojevic, S. Krishnan, Y. P. Zhang, R. Côté, E. E. Eyler, and P. L. Gould, Local blockade of Rydberg excitation in an ultracold gas, Phys. Rev. Lett. 93(6), 063001 (2004)
https://doi.org/10.1103/PhysRevLett.93.063001
28 K. Singer, M. Reetz-Lamour, T. Amthor, L. G. Marcassa, and M. Weidemuller, Suppression of excitation and spectral broadening induced by interactions in a cold gas of Rydberg atoms, Phys. Rev. Lett. 93(16), 163001 (2004)
https://doi.org/10.1103/PhysRevLett.93.163001
29 X. F. Shi, Rydberg quantum computation with nuclear spins in two-electron neutral atoms, Front. Phys. 16(5), 52501 (2021)
https://doi.org/10.1007/s11467-021-1069-6
30 D. Petrosyan, J. Otterbach, and M. Fleischhauer, Electromagnetically induced transparency with Rydberg atoms, Phys. Rev. Lett. 107(21), 213601 (2011)
https://doi.org/10.1103/PhysRevLett.107.213601
31 Y. M. Liu, D. Yan, X. D. Tian, C. L. Cui, and J. H. Wu, Electromagnetically induced transparency with cold Rydberg atoms: Superatom model beyond the weak-probe approximation, Phys. Rev. A 89(3), 033839 (2014)
https://doi.org/10.1103/PhysRevA.89.033839
32 X. D. Tian, Y. M. Liu, Q. Q. Bao, J. H. Wu, M. Artoni, and G. C. La Rocca, Nonclassical storage and retrieval of a multi-photon pulse in cold Rydberg atoms, Phys. Rev. A 97(4), 043811 (2018)
https://doi.org/10.1103/PhysRevA.97.043811
33 D. Maxwell, D. J. Szwer, D. Paredes-Barato, H. Busche, J. D. Pritchard, A. Gauguet, K. J. Weatherill, M. P. A. Jones, and C. S. Adams, Storage and control of optical photons using Rydberg polaritons, Phys. Rev. Lett. 110(10), 103001 (2013)
https://doi.org/10.1103/PhysRevLett.110.103001
34 C. S. Hofmann, G. Günter, H. Schempp, M. Robert-de-Saint-Vincent, M. Gärttner, J. Evers, S. Whitlock, and M. Weidemüller, Sub-Poissonian statistics of Rydberg interacting dark-state polaritons, Phys. Rev. Lett. 110(20), 203601 (2013)
https://doi.org/10.1103/PhysRevLett.110.203601
35 E. Distante, A. Padron-Brito, M. Cristiani, D. Paredes-Barato, and H. de Riedmatten, Storage enhanced nonlinearities in a cold atomic Rydberg ensemble, Phys. Rev. Lett. 117(11), 113001 (2016)
https://doi.org/10.1103/PhysRevLett.117.113001
36 F. Ripka, Y. H. Chen, R. Low, and T. Pfau, Rydberg polaritons in a thermal vapor, Phys. Rev. A 93(5), 053429 (2016)
https://doi.org/10.1103/PhysRevA.93.053429
37 L. Li and A. Kuzmich, Quantum memory with strong and contollable Rydberg-level interactions, Nat. Commun. 7(1), 13618 (2016)
https://doi.org/10.1038/ncomms13618
38 E. Distante, P. Farrera, A. Padron-Brito, D. Paredes-Barato, G. Heinze, and H. de Riedmatten, Storing single photons emitted by a quantum memory on a highly excited Rydberg state, Nat. Commun. 8(1), 14072 (2017)
https://doi.org/10.1038/ncomms14072
39 C. S. Hofmann, G. Günter, H. Schempp, N. L. M. Müller, A. Faber, H. Busche, M. Robert-de-Saint-Vincent, S. Whitlock, and M. Weidemüller, An experimental approach for investigating many-body phenomena in Rydberg interacting quantum systems, Front. Phys. 9(5), 571 (2014)
https://doi.org/10.1007/s11467-013-0396-7
40 A. V. Gorshkov, J. Otterbach, M. Fleischhauer, T. Pohl, and M. D. Lukin, Photon–photon interactions via Rydberg blockade, Phys. Rev. Lett. 107(13), 133602 (2011)
https://doi.org/10.1103/PhysRevLett.107.133602
41 B. He, A. V. Sharypov, J. T. Sheng, C. Simon, and M. Xiao, Two-photon dynamics in coherent Rydberg atomic ensemble, Phys. Rev. Lett.112(13), 133606 (2014)
https://doi.org/10.1103/PhysRevLett.112.133606
42 T. Caneva, M. T. Manzoni, T. Shi, J. S. Douglas, J. I. Cirac, and D. E. Chang, Quantum dynamics of propagating photons with strong interactions: A generalized inputoutput formalism, New J. Phys. 17(11), 113001 (2015)
https://doi.org/10.1088/1367-2630/17/11/113001
43 M. J. Gullans, J. D. Thompson, Y. Wang, Q. Y. Liang, V. Vuletic, M. D. Lukin, and A. V. Gorshkov, Effective field theory for Rydberg polaritons, Phys. Rev. Lett. 117(11), 113601 (2016)
https://doi.org/10.1103/PhysRevLett.117.113601
44 W. B. Li, D. Viscor, S. Hofferberth, and I. Lesanovsky, Electromagnetically induced transparency in an entangled medium, Phys. Rev. Lett. 112(24), 243601 (2014)
https://doi.org/10.1103/PhysRevLett.112.243601
45 R. Loudon, The Quantum Theory of Light, 3rd Ed., Oxford Science Publications, 2000
46 Here and in what follows we choose Oas the expectation value of operator O^ by removing its hat.
47 L. Yang, B. He, J. H. Wu, Z. Y. Zhang, and M. Xiao, Interacting photon pulses in a Rydberg medium, Optica 3(10), 1095 (2016)
https://doi.org/10.1364/OPTICA.3.001095
48 This quantity is usually called blockade radius and will reduce to Rb=(C6γe/|Ωc|2)1/6 in the case of δ=0 while to Rb=(C6δ/|Ωc|2)1/6 inthe case of δγe.
49 This conclusion holds also for the attractive vdW interactions denoted by a negative C6 and thus Δ¯→−∞ (instead of Δ¯→∞) for the ΣRR fraction of SAs.
50 In fact, we can make nbsufficiently large to yield a remarkably enhanced collective coupling (nbΩs).
51 O. Firstenberg, T. Peyronel, Q. Y. Liang, A. V. Gorshkov, M. D. Lukin, and V. Vuletić, Attractive photons in a quantum nonlinear medium, Nature 502(7469), 71 (2013)
https://doi.org/10.1038/nature12512
52 This equality is equivalent after proper arrangement to Eq. (10) in [M. Garttner, S. Whitlock, D. W. Schonleber, and J. Evers, Phys. Rev. A 89(06), 063407 (2014)].
53 C. Shou and G. X. Huang, Slow-light soliton beam splitters, Phys. Rev. A 99(4), 043821 (2019)
https://doi.org/10.1103/PhysRevA.99.043821
54 J. Gea-Banacloche and N. Nemet, Conditional phase gate using an optomechanical resonator, Phys. Rev. A 89(5), 052327 (2014)
https://doi.org/10.1103/PhysRevA.89.052327
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