- Letter
- Open Access
Swing-up dynamics in quantum emitter cavity systems: Near ideal single photons and entangled photon pairs
Phys. Rev. Research 6, L012017 – Published 19 January, 2024
DOI: https://doi.org/10.1103/PhysRevResearch.6.L012017
Abstract
In the SUPER scheme (Swing-UP of the quantum EmitteR population), excitation of a quantum emitter is achieved with two off-resonant, red-detuned laser pulses. This allows the generation of high-quality single photons without the need of complex laser stray light suppression or careful spectral filtering. In the present work, we extend this promising method to quantum emitters, specifically semiconductor quantum dots, inside a resonant optical cavity. A significant advantage of the SUPER scheme is identified in that it eliminates re-excitation of the quantum emitter by suppressing photon emission during the excitation cycle. This, in turn, leads to almost ideal single-photon purity, overcoming a major factor typically limiting the quality of photons generated with quantum emitters in high-quality cavities. We further find that for cavity-mediated biexciton emission of degenerate photon pairs, the SUPER scheme leads to near-perfect biexciton initialization with very high values of polarization entanglement of emitted photon pairs.
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References (61)
- X. Ding, Y. He, Z.-C. Duan, N. Gregersen, M.-C. Chen, S. Unsleber, S. Maier, C. Schneider, M. Kamp, S. Höfling, C.-Y. Lu, and J.-W. Pan, On-demand single photons with high extraction efficiency and near-unity indistinguishability from a resonantly driven quantum dot in a micropillar, Phys. Rev. Lett. 116, 020401 (2016).
- L. Hanschke, K. A. Fischer, S. Appel, D. Lukin, J. Wierzbowski, S. Sun, R. Trivedi, J. Vučković, J. J. Finley, and K. Müller, Quantum dot single-photon sources with ultra-low multi-photon probability, npj Quantum Inf. 4, 43 (2018).
- L. Schweickert, K. D. Jöns, K. D. Zeuner, S. F. C. da Silva, H. Huang, T. Lettner, M. Reindl, J. Zichi, R. Trotta, A. Rastelli, and V. Zwiller, On-demand generation of background-free single photons from a solid-state source, Appl. Phys. Lett. 112, 093106 (2018).
- Y. Chen, M. Zopf, R. Keil, F. Ding, and O. G. Schmidt, Highly-efficient extraction of entangled photons from quantum dots using a broadband optical antenna, Nat. Commun. 9, 2994 (2018).
- D. Huber, M. Reindl, S. F. Covre da Silva, C. Schimpf, J. Martín-Sánchez, H. Huang, G. Piredda, J. Edlinger, A. Rastelli, and R. Trotta, Strain-tunable GaAs quantum dot: A nearly dephasing-free source of entangled photon pairs on demand, Phys. Rev. Lett. 121, 033902 (2018).
- J. Liu, R. Su, Y. Wei, B. Yao, S. F. C. d. Silva, Y. Yu, J. Iles-Smith, K. Srinivasan, A. Rastelli, J. Li, and X. Wang, A solid-state source of strongly entangled photon pairs with high brightness and indistinguishability, Nat. Nanotechnol. 14, 586 (2019).
- H. Wang, H. Hu, T.-H. Chung, J. Qin, X. Yang, J.-P. Li, R.-Z. Liu, H.-S. Zhong, Y.-M. He, X. Ding, Y.-H. Deng, Q. Dai, Y.-H. Huo, S. Höfling, C.-Y. Lu, and J.-W. Pan, On-demand semiconductor source of entangled photons which simultaneously has high fidelity, efficiency, and indistinguishability, Phys. Rev. Lett. 122, 113602 (2019).
- D. Huber, M. Reindl, Y. Huo, H. Huang, J. S. Wildmann, O. G. Schmidt, A. Rastelli, and R. Trotta, Highly indistinguishable and strongly entangled photons from symmetric GaAs quantum dots, Nat. Commun. 8, 15506 (2017).
- M. Müller, S. Bounouar, K. D. Jöns, M. Glässl, and P. Michler, On-demand generation of indistinguishable polarization-entangled photon pairs, Nat. Photon. 8, 224 (2014).
- H. Wang, Z.-C. Duan, Y.-H. Li, S. Chen, J.-P. Li, Y.-M. He, M.-C. Chen, Y. He, X. Ding, C.-Z. Peng, C. Schneider, M. Kamp, S. Höfling, C.-Y. Lu, and J.-W. Pan, Near-transform-limited single photons from an efficient solid-state quantum emitter, Phys. Rev. Lett. 116, 213601 (2016).
- Y.-M. He, H. Wang, C. Wang, M.-C. Chen, X. Ding, J. Qin, Z.-C. Duan, S. Chen, J.-P. Li, R.-Z. Liu, C. Schneider, M. Atatüre, S. Höfling, C.-Y. Lu, and J.-W. Pan, Coherently driving a single quantum two-level system with dichromatic laser pulses, Nat. Phys. 15, 941 (2019).
- Z. X. Koong, E. Scerri, M. Rambach, M. Cygorek, M. Brotons-Gisbert, R. Picard, Y. Ma, S. I. Park, J. D. Song, E. M. Gauger, and B. D. Gerardot, Coherent dynamics in quantum emitters under dichromatic excitation, Phys. Rev. Lett. 126, 047403 (2021).
- B. Jonas, D. Heinze, E. Schöll, P. Kallert, T. Langer, S. Krehs, A. Widhalm, K. D. Jöns, D. Reuter, S. Schumacher, and A. Zrenner, Nonlinear down-conversion in a single quantum dot, Nat. Commun. 13, 1387 (2022).
- S. Schumacher, J. Förstner, A. Zrenner, M. Florian, C. Gies, P. Gartner, and F. Jahnke, Cavity-assisted emission of polarization-entangled photons from biexcitons in quantum dots with fine-structure splitting, Opt. Express 20, 5335 (2012).
- Quantum Optics with Semiconductor Nanostructures , edited by F. Jahnke (Woodhead Publishing, Philadelphia, 2012).
- S. Strauf, N. G. Stoltz, M. T. Rakher, L. A. Coldren, P. M. Petroff, and D. Bouwmeester, High-frequency single-photon source with polarization control, Nat. Photon. 1, 704 (2007).
- N. Tomm, S. Mahmoodian, N. O. Antoniadis, R. Schott, S. R. Valentin, A. D. Wieck, A. Ludwig, A. Javadi, and R. J. Warburton, Photon bound state dynamics from a single artificial atom, Nat. Phys. 19, 857 (2023).
- T. Praschan, D. Heinze, D. Breddermann, A. Zrenner, A. Walther, and S. Schumacher, Pulse shaping for on-demand emission of single Raman photons from a quantum-dot biexciton, Phys. Rev. B 105, 045302 (2022).
- J. Iles-Smith, D. P. S. McCutcheon, A. Nazir, and J. Mørk, Phonon scattering inhibits simultaneous near-unity efficiency and indistinguishability in semiconductor single-photon sources, Nat. Photon. 11, 521 (2017).
- A. J. Ramsay, A. V. Gopal, E. M. Gauger, A. Nazir, B. W. Lovett, A. M. Fox, and M. S. Skolnick, Damping of exciton Rabi rotations by acoustic phonons in optically excited quantum dots, Phys. Rev. Lett. 104, 017402 (2010).
- T. Huber, A. Predojević, H. Zoubi, H. Jayakumar, G. S. Solomon, and G. Weihs, Measurement and modification of biexciton-exciton time correlations, Opt. Express 21, 9890 (2013).
- N. Somaschi, V. Giesz, L. De Santis, J. C. Loredo, M. P. Almeida, G. Hornecker, S. L. Portalupi, T. Grange, C. Antón, J. Demory, C. Gómez, I. Sagnes, N. D. Lanzillotti-Kimura, A. Lemaítre, A. Auffeves, A. G. White, L. Lanco, and P. Senellart, Near-optimal single-photon sources in the solid state, Nat. Photon. 10, 340 (2016).
- Y.-J. Wei, Y.-M. He, M.-C. Chen, Y.-N. Hu, Y. He, D. Wu, C. Schneider, M. Kamp, S. Höfling, C.-Y. Lu, and J.-W. Pan, Deterministic and robust generation of single photons from a single quantum dot with 99.5% indistinguishability using adiabatic rapid passage, Nano Lett. 14, 6515 (2014).
- M. Varnava, D. E. Browne, and T. Rudolph, How good must single photon sources and detectors be for efficient linear optical quantum computation? Phys. Rev. Lett. 100, 060502 (2008).
- Y.-X. Gong, X.-B. Zou, T. C. Ralph, S.-N. Zhu, and G.-C. Guo, Linear optical quantum computation with imperfect entangled photon-pair sources and inefficient non–photon-number-resolving detectors, Phys. Rev. A 81, 052303 (2010).
- T. Jennewein, M. Barbieri, and A. G. White, Single-photon device requirements for operating linear optics quantum computing outside the post-selection basis, J. Mod. Opt. 58, 276 (2011).
- M. Reindl, J. H. Weber, D. Huber, C. Schimpf, S. F. Covre da Silva, S. L. Portalupi, R. Trotta, P. Michler, and A. Rastelli, Highly indistinguishable single photons from incoherently excited quantum dots, Phys. Rev. B 100, 155420 (2019).
- S. E. Thomas, M. Billard, N. Coste, S. C. Wein, Priya, H. Ollivier, O. Krebs, L. Tazaïrt, A. Harouri, A. Lemaitre, I. Sagnes, C. Anton, L. Lanco, N. Somaschi, J. C. Loredo, and P. Senellart, Bright polarized single-photon source based on a linear dipole, Phys. Rev. Lett. 126, 233601 (2021).
- P.-L. Ardelt, L. Hanschke, K. A. Fischer, K. Müller, A. Kleinkauf, M. Koller, A. Bechtold, T. Simmet, J. Wierzbowski, H. Riedl, G. Abstreiter, and J. J. Finley, Dissipative preparation of the exciton and biexciton in self-assembled quantum dots on picosecond time scales, Phys. Rev. B 90, 241404(R) (2014).
- H. Jayakumar, A. Predojević, T. Huber, T. Kauten, G. S. Solomon, and G. Weihs, Deterministic photon pairs and coherent optical control of a single quantum dot, Phys. Rev. Lett. 110, 135505 (2013).
- S. Stufler, P. Machnikowski, P. Ester, M. Bichler, V. M. Axt, T. Kuhn, and A. Zrenner, Two-photon Rabi oscillations in a single quantum dot, Phys. Rev. B 73, 125304 (2006).
- D. Bauch, D. Heinze, J. Förstner, K. D. Jöns, and S. Schumacher, Ultrafast electric control of cavity mediated single-photon and photon-pair generation with semiconductor quantum dots, Phys. Rev. B 104, 085308 (2021).
- D. Bauch, D. Siebert, K. D. Jöns, J. Förstner, and S. Schumacher, On-demand indistinguishable and entangled photons using tailored cavity designs, Adv. Quantum Technol. 7, 2300142 (2024).
- D. Heinze, D. Breddermann, A. Zrenner, and S. Schumacher, A quantum dot single-photon source with on-the-fly all-optical polarization control and timed emission, Nat. Commun. 6, 8473 (2015).
- L. Vannucci and N. Gregersen, Phonon-decoupled di-chromatic pumping scheme for highly efficient and indistinguishable single-photon sources, arXiv:2209.07770v1.
- T. K. Bracht, M. Cosacchi, T. Seidelmann, M. Cygorek, A. Vagov, V. M. Axt, T. Heindel, and D. E. Reiter, Swing-up of quantum emitter population using detuned pulses, PRX Quantum 2, 040354 (2021).
- Y. Karli, F. Kappe, V. Remesh, T. K. Bracht, J. Muenzberg, S. Covre da Silva, T. Seidelmann, V. M. Axt, A. Rastelli, D. E. Reiter, and G. Weihs, SUPER scheme in action: Experimental demonstration of red-detuned excitation of a quantum dot, Nano Lett. 22, 6567 (2022).
- K. Boos, F. Sbresny, S. K. Kim, M. Kremser, H. Riedl, F. W. Bopp, W. Rauhaus, B. Scaparra, K. D. Jöns, J. J. Finley, K. Müller, and L. Hanschke, Coherent dynamics of the swing-up excitation technique, arXiv:2211.14289.
- J. H. Quilter, A. J. Brash, F. Liu, M. Glässl, A. M. Barth, V. M. Axt, A. J. Ramsay, M. S. Skolnick, and A. M. Fox, Phonon-assisted population inversion of a single quantum dot by pulsed laser excitation, Phys. Rev. Lett. 114, 137401 (2015).
- C. Roy and S. Hughes, Polaron master equation theory of the quantum-dot Mollow triplet in a semiconductor cavity-QED system, Phys. Rev. B 85, 115309 (2012).
- C. Gustin and S. Hughes, Efficient pulse-excitation techniques for single photon sources from quantum dots in optical cavities, Adv. Quantum Technol. 3, 1900073 (2020).
- K. Müller, A. Rundquist, K. A. Fischer, T. Sarmiento, K. G. Lagoudakis, Y. A. Kelaita, C. Sánchez Muñoz, E. del Valle, F. P. Laussy, and J. Vučković, Coherent generation of nonclassical light on chip via detuned photon blockade, Phys. Rev. Lett. 114, 233601 (2015).
- K. A. Fischer, L. Hanschke, M. Kremser, J. J. Finley, K. Müller, and J. Vučković, Pulsed Rabi oscillations in quantum two-level systems: Beyond the area theorem, Quantum Sci. Technol. 3, 014006 (2018).
- K. A. Fischer, L. Hanschke, J. Wierzbowski, T. Simmet, C. Dory, J. J. Finley, J. Vučković, and K. Müller, Signatures of two-photon pulses from a quantum two-level system, Nat. Phys. 13, 649 (2017).
- D. Heinze, A. Zrenner, and S. Schumacher, Polarization-entangled twin photons from two-photon quantum-dot emission, Phys. Rev. B 95, 245306 (2017).
- T. Seidelmann, C. Schimpf, T. K. Bracht, M. Cosacchi, A. Vagov, A. Rastelli, D. E. Reiter, and V. M. Axt, Two-photon excitation sets limit to entangled photon pair generation from quantum emitters, Phys. Rev. Lett. 129, 193604 (2022).
- T. K. Bracht, T. Seidelmann, Y. Karli, F. Kappe, V. Remesh, G. Weihs, V. M. Axt, and D. E. Reiter, Dressed-state analysis of two-color excitation schemes, Phys. Rev. B 107, 035425 (2023).
- Y. Ota, S. Iwamoto, N. Kumagai, and Y. Arakawa, Spontaneous two-photon emission from a single quantum dot, Phys. Rev. Lett. 107, 233602 (2011).
- C. Roy and S. Hughes, Influence of electron–acoustic-phonon scattering on intensity power broadening in a coherently driven quantum-dot–cavity system, Phys. Rev. X 1, 021009 (2011).
- H. Carmichael, Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations (Springer-Verlag, Berlin, 1999).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.6.L012017 for details on theoretical modelling and numerical implementation. The swing-up dynamics in our model system are described in detail, also showing state evolutions and spectra for weaker cavity coupling. Additionally, theoretical analyses of the phase shift dependence of the SUPER scheme and the light-field induced spectral shifts of the transition energies are provided. All references are already included in the main text.
- I. M. Mirza and S. J. van Enk, Single-photon time-dependent spectra in quantum optomechanics, Phys. Rev. A 90, 043831 (2014).
- M. Cosacchi, J. Wiercinski, T. Seidelmann, M. Cygorek, A. Vagov, D. E. Reiter, and V. M. Axt, On-demand generation of higher-order Fock states in quantum-dot–cavity systems, Phys. Rev. Res. 2, 033489 (2020).
- C. Gustin and S. Hughes, Pulsed excitation dynamics in quantum-dot–cavity systems: Limits to optimizing the fidelity of on-demand single-photon sources, Phys. Rev. B 98, 045309 (2018).
- D. Heinze, Quantenoptik mit Halbleiterquantenpunkten (German) [Quantum optics with semiconductor quantum dots], Ph.D. thesis, Universität Paderborn (2018).
- W. K. Wootters, Entanglement of formation of an arbitrary state of two qubits, Phys. Rev. Lett. 80, 2245 (1998).
- M. Cygorek, F. Ungar, T. Seidelmann, A. M. Barth, A. Vagov, V. M. Axt, and T. Kuhn, Comparison of different concurrences characterizing photon pairs generated in the biexciton cascade in quantum dots coupled to microcavities, Phys. Rev. B 98, 045303 (2018).
- T. Seidelmann, M. Cosacchi, M. Cygorek, D. E. Reiter, A. Vagov, and V. M. Axt, Different types of photon entanglement from a constantly driven quantum emitter inside a cavity, Adv. Quantum Technol. 4, 2000108 (2021).
- L. Vannucci and N. Gregersen, Highly efficient and indistinguishable single-photon sources via phonon-decoupled two-color excitation, Phys. Rev. B 107, 195306 (2023).
- T. K. Bracht, M. Cygorek, T. Seidelmann, V. M. Axt, and D. E. Reiter, Temperature-independent almost perfect photon entanglement from quantum dots via the SUPER scheme, Optica Quantum 1, 103 (2023).
- R. Joos, S. Bauer, C. Rupp, S. Kolatschek, W. Fischer, C. Nawrath, P. Vijayan, R. Sittig, M. Jetter, S. L. Portalupi, and P. Michler, Triggered telecom C-band single-photon source with high brightness, high indistinguishability and sub-GHz spectral linewidth, arXiv:2310.20647.