- Open Access
Cavity optomechanical quantum memory for twisted photons using a ring Bose-Einstein condensate
Phys. Rev. Research 8, 013013 – Published 9 January, 2026
DOI: https://doi.org/10.1103/zd1d-39d7
Abstract
We theoretically propose a photonic orbital angular momentum quantum memory, currently of great interest from the perspective of quantum networks, based on a ring-trapped Bose-Einstein condensate interacting with Laguerre-Gaussian beams. The optical states are stored in the large Hilbert space of topologically protected persistent currents of the condensate. In contrast to earlier work, our proposal uses a cavity, which enhances the light-matter interaction by several orders of magnitude, resulting in high fidelity, convenient detection, and no need to repeat read-write cycles degraded by atom loss. Our scheme avoids using multiple internal atomic states as in generic electromagnetically induced transparency-based protocols and thus bypasses problems like off-resonant photoassociation by the control fields and dephasing effects that limit memory storage time. For optimized parameters, our work yields a storage time 3 orders of magnitude better than presently available and opens the way for exploiting existing advantages of cavity-based noise suppression, wavelength transduction, large bandwidth, and nondestructive readout of the memory.
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References (54)
- K. Heshami, D. G. England, P. C. Humphreys, P. J. Bustard, V. M. Acosta, J. Nunn, and B. J. Sussman, Quantum memories: Emerging applications and recent advances, J. Mod. Opt. 63, 2005 (2016).
- A. I. Lvovsky, B. C. Sanders, and W. Tittel, Optical quantum memory, Nat. Photonics 3, 706 (2009).
- L. Veissier, Quantum memory protocols in large cold atomic ensembles, Theses, Université Pierre et Marie Curie—Paris VI, 2013.
- C. He, Y. Shen, and A. Forbes, Towards higher-dimensional structured light, Light Sci. Appl. 11, 205 (2022).
- B.-S. Shi, D.-S. Ding, and W. Zhang, Quantum storage of orbital angular momentum entanglement in cold atomic ensembles, J. Phys. B: At. Mol. Opt. Phys. 51, 032004 (2018).
- D.-S. Ding, W. Zhang, S. Shi, Z.-Y. Zhou, Y. Li, B.-S. Shi, and G.-C. Guo, High-dimensional entanglement between distant atomic-ensemble memories, Light Sci. Appl. 5, e16157 (2016).
- D.-S. Ding, W. Zhang, Z.-Y. Zhou, S. Shi, G.-Y. Xiang, X.-S. Wang, Y.-K. Jiang, B.-S. Shi, and G.-C. Guo, Quantum storage of orbital angular momentum entanglement in an atomic ensemble, Phys. Rev. Lett. 114, 050502 (2015).
- A. Nicolas, L. Veissier, L. Giner, E. Giacobino, D. Maxein, and J. Laurat, A quantum memory for orbital angular momentum photonic qubits, Nat. Photonics 8, 234 (2014).
- D. Moretti, D. Felinto, and J. W. R. Tabosa, Collapses and revivals of stored orbital angular momentum of light in a cold-atom ensemble, Phys. Rev. A 79, 023825 (2009).
- L. Veissier, A. Nicolas, L. Giner, D. Maxein, A. S. Sheremet, E. Giacobino, and J. Laurat, Reversible optical memory for twisted photons, Opt. Lett. 38, 712 (2013).
- C. Wang, Y. Yu, Y. Chen, M. Cao, J. Wang, X. Yang, S. Qiu, D. Wei, H. Gao, and F. Li, Efficient quantum memory of orbital angular momentum qubits in cold atoms, Quantum Sci. Technol. 6, 045008 (2021).
- Z.-Q. Zhou, Y.-L. Hua, X. Liu, G. Chen, J.-S. Xu, Y.-J. Han, C.-F. Li, and G.-C. Guo, Quantum storage of three-dimensional orbital-angular-momentum entanglement in a crystal, Phys. Rev. Lett. 115, 070502 (2015).
- Y.-H. Ye, L. Zeng, M.-X. Dong, W.-H. Zhang, E.-Z. Li, D.-C. Li, G.-C. Guo, D.-S. Ding, and B.-S. Shi, Long-lived memory for orbital angular momentum quantum states, Phys. Rev. Lett. 129, 193601 (2022).
- A. J. Leggett, Bose-Einstein condensation in the alkali gases: Some fundamental concepts, Rev. Mod. Phys. 73, 307 (2001).
- O. Morizot, Y. Colombe, V. Lorent, H. Perrin, and B. M. Garraway, Ring trap for ultracold atoms, Phys. Rev. A 74, 023617 (2006).
- B. E. Sherlock, M. Gildemeister, E. Owen, E. Nugent, and C. J. Foot, Time-averaged adiabatic ring potential for ultracold atoms, Phys. Rev. A 83, 043408 (2011).
- C. Ryu, M. F. Andersen, P. Cladé, V. Natarajan, K. Helmerson, and W. D. Phillips, Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap, Phys. Rev. Lett. 99, 260401 (2007).
- K. C. Wright, R. B. Blakestad, C. J. Lobb, W. D. Phillips, and G. K. Campbell, Driving phase slips in a superfluid atom circuit with a rotating weak link, Phys. Rev. Lett. 110, 025302 (2013).
- Y. Guo, R. Dubessy, M. de Goër de Herve, A. Kumar, T. Badr, A. Perrin, L. Longchambon, and H. Perrin, Supersonic rotation of a superfluid: A long-lived dynamical ring, Phys. Rev. Lett. 124, 025301 (2020).
- J. Polo, W. J. Chetcuti, T. Haug, A. Minguzzi, K. Wright, and L. Amico, Persistent currents in ultracold gases, Phys. Rep. 1137, 1 (2025).
- A. Ramanathan, K. C. Wright, S. R. Muniz, M. Zelan, W. T. Hill, C. J. Lobb, K. Helmerson, W. D. Phillips, and G. K. Campbell, Superflow in a toroidal Bose-Einstein condensate: An atom circuit with a tunable weak link, Phys. Rev. Lett. 106, 130401 (2011).
- S. Beattie, S. Moulder, R. J. Fletcher, and Z. Hadzibabic, Persistent currents in spinor condensates, Phys. Rev. Lett. 110, 025301 (2013).
- K. T. Kapale and J. P. Dowling, Vortex phase qubit: Generating arbitrary, counterrotating, coherent superpositions in Bose-Einstein condensates via optical angular momentum beams, Phys. Rev. Lett. 95, 173601 (2005).
- M. Lettner, M. Mücke, S. Riedl, C. Vo, C. Hahn, S. Baur, J. Bochmann, S. Ritter, S. Dürr, and G. Rempe, Remote entanglement between a single atom and a Bose-Einstein condensate, Phys. Rev. Lett. 106, 210503 (2011).
- K. Hammerer, A. S. Sørensen, and E. S. Polzik, Quantum interface between light and atomic ensembles, Rev. Mod. Phys. 82, 1041 (2010).
- J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Measuring the orbital angular momentum of a single photon, Phys. Rev. Lett. 88, 257901 (2002).
- M. Horodecki, P. Horodecki, and R. Horodecki, General teleportation channel, singlet fraction, and quasidistillation, Phys. Rev. A 60, 1888 (1999).
- A. M. Yao and M. J. Padgett, Orbital angular momentum: Origins, behavior and applications, Adv. Opt. Photonics 3, 161 (2011).
- P. Kumar, T. Biswas, K. Feliz, R. Kanamoto, M.-S. Chang, A. K. Jha, and M. Bhattacharya, Cavity optomechanical sensing and manipulation of an atomic persistent current, Phys. Rev. Lett. 127, 113601 (2021).
- S. Simjanovski, G. Gauthier, M. J. Davis, H. Rubinsztein-Dunlop, and T. W. Neely, Optimizing persistent currents in a ring-shaped Bose-Einstein condensate using machine learning, Phys. Rev. A 108, 063306 (2023).
- A. D. Ludlow, X. Huang, M. Notcutt, T. Zanon-Willette, S. M. Foreman, M. M. Boyd, S. Blatt, and J. Ye, Compact, thermal-noise-limited optical cavity for diode laser stabilization at , Opt. Lett. 32, 641 (2007).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/zd1d-39d7 for the detailed derivation of the Hamiltonian, a protocol for generating single photons in OAM coherent superpositions, fidelity analysis with logarithmic negativity entanglement quantification, the variation of storage time with mechanical damping, and a discussion of cavity resonances, which includes Refs. [28, 30, 31, 34, 37, 40].
- S. Pandey, H. Mas, G. Drougakis, P. Thekkeppatt, V. Bolpasi, G. Vasilakis, K. Poulios, and W. von Klitzing, Hypersonic Bose–Einstein condensates in accelerator rings, Nature (London) 570, 205 (2019).
- M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
- V. Fiore, Y. Yang, M. C. Kuzyk, R. Barbour, L. Tian, and H. Wang, Storing optical information as a mechanical excitation in a silica optomechanical resonator, Phys. Rev. Lett. 107, 133601 (2011).
- S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, Optomechanically induced transparency, Science 330, 1520 (2010).
- S. Kalita, P. Kumar, R. Kanamoto, M. Bhattacharya, and A. K. Sarma, Pump-probe cavity optomechanics with a rotating atomic superfluid in a ring, Phys. Rev. A 107, 013525 (2023).
- C. Gardiner and P. Zoller, Quantum markov processes, in Quantum Noise (Springer, Berlin Heidelberg, 2004).
- E. J. Galvez, L. E. Coyle, E. Johnson, and B. J. Reschovsky, Interferometric measurement of the helical mode of a single photon, New J. Phys. 13, 053017 (2011).
- C. Gerry and P. Knight, Beam splitters and interferometers, in Introductory Quantum Optics (Cambridge University Press, Cambridge, 2004), pp. 135–149.
- E. Lombardi, F. Sciarrino, S. Popescu, and F. De Martini, Teleportation of a vacuum–one-photon qubit, Phys. Rev. Lett. 88, 070402 (2002).
- H.-W. Lee and J. Kim, Quantum teleportation and bell’s inequality using single-particle entanglement, Phys. Rev. A 63, 012305 (2000).
- E. Knill, R. Laflamme, and G. J. Milburn, A scheme for efficient quantum computation with linear optics, Nature (London) 409, 46 (2001).
- S. Huang, Quantum state transfer in cavity electro-optic modulators, Phys. Rev. A 92, 043845 (2015).
- S. Massar and S. Popescu, Optimal extraction of information from finite quantum ensembles, Phys. Rev. Lett. 74, 1259 (1995).
- K. Hammerer, M. M. Wolf, E. S. Polzik, and J. I. Cirac, Quantum benchmark for storage and transmission of coherent states, Phys. Rev. Lett. 94, 150503 (2005).
- M. Gündoğan, P. M. Ledingham, A. Almasi, M. Cristiani, and H. de Riedmatten, Quantum storage of a photonic polarization qubit in a solid, Phys. Rev. Lett. 108, 190504 (2012).
- R. Fickler, R. Lapkiewicz, W. N. Plick, M. Krenn, C. Schaeff, S. Ramelow, and A. Zeilinger, Quantum entanglement of high angular momenta, Science 338, 640 (2012).
- S. Kiesewetter, R. Teh, P. Drummond, and M. Reid, Pulsed entanglement of two optomechanical oscillators and furry’s hypothesis, Phys. Rev. Lett. 119, 023601 (2017).
- R. Ghobadi, A. R. Bahrampour, and C. Simon, Quantum optomechanics in the bistable regime, Phys. Rev. A 84, 033846 (2011).
- L. Tian and H. Wang, Optical wavelength conversion of quantum states with optomechanics, Phys. Rev. A 82, 053806 (2010).
- H. Kaviani, R. Ghobadi, B. Behera, M. Wu, A. Hryciw, S. Vo, D. Fattal, and P. Barclay, Optomechanical detection of light with orbital angular momentum, Opt. Express 28, 15482 (2020).
- J. Johansson, P. Nation, and F. Nori, QuTiP: An open-source python framework for the dynamics of open quantum systems, Comput. Phys. Commun. 183, 1760 (2012).
- N. Daloi, R. Gupta, A. Ghosh, P. Kumar, H. S. Dhar, and M. Bhattacharya, Ring_BEC_Quantum_Memory, 2025, https://github.com/qid-iitb/Ring_BEC_Quantum_Memory.