- Letter
- Open Access
Energy-time entanglement from a resonantly driven quantum-dot three-level system
Phys. Rev. Research 5, L022060 – Published 22 June, 2023
DOI: https://doi.org/10.1103/PhysRevResearch.5.L022060
Abstract
Entanglement is a major resource in advanced quantum technology where it can enable a secure exchange of information over large distances. Energy-time entanglement is particularly attractive for its beneficial robustness in fiber-based quantum communication and can be demonstrated in the Franson interferometer. We report on Franson-type interference from a resonantly driven biexciton cascade under continuous wave excitation. Our measurements yield a maximum visibility of ()% surpassing the limit of violation of Bell's inequality (70.7%) by more than one standard deviation. Despite being unable to satisfy a loophole free violation, our work demonstrates promising results concerning future studies on such a system. Furthermore, our systematical investigations on the impact of driving strength indicate that dephasing mechanisms and deviations from the cascaded emission have a major impact on the degree of the measured energy-time entanglement.
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References (56)
- A. Einstein, B. Podolsky, and N. Rosen, Can quantum-mechanical description of physical reality be considered complete?, Phys. Rev. 47, 777 (1935).
- J. S. Bell, On the Einstein Podolsky Rosen Paradox, Phys. Phys. Fiz. 1, 195 (1964).
- A. Aspect, P. Grangier, and G. Roger, Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: A New Violation of Bell's Inequalities, Phys. Rev. Lett. 49, 91 (1982).
- B. Hensen, H. Bernien, A. E. Dréau, A. Reiserer, N. Kalb, M. S. Blok, J. Ruitenberg, R. F. L. Vermeulen, R. N. Schouten, C. Abellán et al., Loophole-free bell inequality violation using electron spins separated by 1.3 kilometres, Nature (London) 526, 682 (2015).
- M. Giustina, M. A. M. Versteegh, S. Wengerowsky, J. Handsteiner, A. Hochrainer, K. Phelan, F. Steinlechner, J. Kofler, J. A. Larsson, C. Abellan et al., Significant-Loophole-Free Test of Bell's Theorem with Entangled Photons, Phys. Rev. Lett. 115, 250401 (2015).
- L. K. Shalm, E. Meyer-Scott, B. G. Christensen, P. Bierhorst, M. A. Wayne, M. J. Stevens, T. Gerrits, S. Glancy, D. R. Hamel, M. S. Allman et al., Strong Loophole-Free Test of Local Realism, Phys. Rev. Lett. 115, 250402 (2015).
- A. Steane, Reports on progress in physics related content quantum computing, Rep. Prog. Phys 61, 117 (1998).
- R. Horodecki, Quantum information, Acta Phys. Pol. A 139, 197 (2021).
- J. L. O’Brien, Optical quantum computing, Science 318, 1567 (2007).
- N. Gisin and R. Thew, Quantum communication review, Nat. Photonics 1, 165 (2007).
- D. A. Vajner, L. Rickert, T. Gao, K. Kaymazlar, and T. Heindel, Quantum communication using semiconductor quantum dots, Adv. Quantum Technol. 5, 2100116 (2022).
- N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Quantum cryptography, Rev. Mod. Phys. 74, 145 (2002).
- M. Brodsky, E. C. George, C. Antonelli, and M. Shtaif, Loss of polarization entanglement in a fiber-optic system with polarization mode dispersion in one optical path, Opt. Lett. 36, 43 (2011).
- C. Antonelli, M. Shtaif, and M. Brodsky, Sudden Death of Entanglement Induced by Polarization Mode Dispersion, Phys. Rev. Lett. 106, 080404 (2011).
- W. Tittel, J. Brendel, H. Zbinden, and N. Gisin, Violation of Bell Inequalities by Photons More Than 10 Km Apart, Phys. Rev. Lett. 81, 3563 (1998).
- T. Inagaki, N. Matsuda, O. Tadanaga, M. Asobe, and H. Takesue, Entanglement distribution over 300 km of fiber, Opt. Express 21, 23241 (2013).
- W. Tittel, J. Brendel, N. Gisin, and H. Zbinden, Long-distance bell-type tests using energy-time entangled photons, Phys. Rev. A 59, 4150 (1999).
- A. Cuevas, G. Carvacho, G. Saavedra, J. Cariñe, W. A. T. Nogueira, M. Figueroa, A. Cabello, P. Mataloni, G. Lima, and G. B. Xavier, Long-distance distribution of genuine energy-time entanglement, Nat. Commun. 4, 2871 (2013).
- J. Brendel, N. Gisin, W. Tittel, and H. Zbinden, Pulsed Energy-Time Entangled Twin-Photon Source for Quantum Communication, Phys. Rev. Lett. 82, 2594 (1999).
- I. Marcikic, H. de Riedmatten, W. Tittel, H. Zbinden, M. Legré, and N. Gisin, Distribution of Time-Bin Entangled Qubits Over 50 Km of Optical Fiber, Phys. Rev. Lett. 93, 180502 (2004).
- Y. Shih, An Introduction to Quantum Optics: Photon and Biphoton Physics (CRC, Boca Raton, 2011).
- J. Liang, S. M. Hendrickson, and T. B. Pittman, Role of pump coherence in two-photon interferometry, Phys. Rev. A 83, 033812 (2011).
- D. Huber, M. Reindl, J. Aberl, A. Rastelli, and R. Trotta, Semiconductor quantum dots as an ideal source of polarization-entangled photon pairs on-demand: A review, J. Opt. 20, 073002 (2018).
- R. Hafenbrak, S. M. Ulrich, P. Michler, L. Wang, A. Rastelli, and O. G. Schmidt, Triggered polarization-entangled photon pairs from a single quantum dot up to 30 k, New J. Phys. 9, 315 (2007).
- F. Troiani, J. I. Perea, and C. Tejedor, Cavity-assisted generation of entangled photon pairs by a quantum-dot cascade decay, Phys. Rev. B 74, 235310 (2006).
- S. Bounouar, C. de la Haye, M. Strauß, P. Schnauber, A. Thoma, M. Gschrey, J.-H. Schulze, A. Strittmatter, S. Rodt, and S. Reitzenstein, Generation of maximally entangled states and coherent control in quantum dot microlenses, Appl. Phys. Lett. 112, 153107 (2018).
- T. Lettner et al., Strain-controlled quantum dot fine structure for entangled photon generation at 1550 nm, Nano Lett. 21, 10501 (2021).
- H. Jayakumar, A. Predojević, T. Kauten, T. Huber, G. S. Solomon, and G. Weihs, Time-bin entangled photons from a quantum dot, Nat. Commun. 5, 4251 (2014).
- T. Huber, L. Ostermann, M. Prilmüller, G. S. Solomon, H. Ritsch, G. Weihs, and A. Predojević, Coherence and degree of time-bin entanglement from quantum dots, Phys. Rev. B 93, 201301(R) (2016).
- M. A. M. Versteegh, M. E. Reimer, A. A. Van Den Berg, G. Juska, V. Dimastrodonato, A. Gocalinska, E. Pelucchi, and V. Zwiller, Single pairs of time-bin-entangled photons, Phys. Rev. A 92, 033802 (2015).
- L. Ginés, C. Pepe, J. Gonzales, N. Gregersen, S. Höfling, C. Schneider, and A. Predojević, Time-bin entangled photon pairs from quantum dots embedded in a self-aligned cavity, Opt. Express 29, 4174 (2021).
- J. P. Lee, B. Villa, A. J. Bennett, R. M. Stevenson, D. J. P. Ellis, I. Farrer, D. A. Ritchie, and A. J. Shields, A quantum dot as a source of time-bin entangled multi-photon states, Quantum Sci. Technol. 4, 025011 (2019).
- Y.-N. Sun et al., Measurement of the inhomogeneous broadening of a bi-exciton state in a quantum dot using franson-type nonlocal interference, Opt. Express 25, 1778 (2017).
- J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Proposed Experiment to Test Local Hidden-Variable Theories, Phys. Rev. Lett. 23, 880 (1969).
- M. Peiris, K. Konthasinghe, and A. Muller, Franson Interference Generated by a Two-Level System, Phys. Rev. Lett. 118, 030501 (2017).
- S. Bounouar et al., Path-Controlled Time Reordering of Paired Photons in a Dressed Three-Level Cascade, Phys. Rev. Lett. 118, 233601 (2017).
- M. Gschrey et al., Highly indistinguishable photons from deterministic quantum-dot microlenses utilizing three-dimensional in situ electron-beam lithography, Nat. Commun. 6, 7662 (2015).
- E. Moreau, I. Robert, L. Manin, V. Thierry-Mieg, J. M. Gérard, and I. Abram, Quantum Cascade of Photons in Semiconductor Quantum Dots, Phys. Rev. Lett. 87, 183601 (2001).
- R. M. Stevenson, A. J. Hudson, A. J. Bennett, R. J. Young, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, Evolution of Entanglement Between Distinguishable Light States, Phys. Rev. Lett. 101, 170501 (2008).
- H. S. Nguyen, G. Sallen, M. Abbarchi, R. Ferreira, C. Voisin, P. Roussignol, G. Cassabois, and C. Diederichs, Photoneutralization and slow capture of carriers in quantum dots probed by resonant excitation spectroscopy, Phys. Rev. B 87, 115305 (2013).
- C. Santori, D. Fattal, J. Vučković, G. S. Solomon, E. Waks, and Y. Yamamoto, Submicrosecond correlations in photoluminescence from inas quantum dots, Phys. Rev. B 69, 205324 (2004).
- M. Davanço, C. S. Hellberg, S. Ates, A. Badolato, and K. Srinivasan, Multiple time scale blinking in inas quantum dot single-photon sources, Phys. Rev. B 89, 161303(R) (2014).
- C. Sánchez Muñoz, F. P. Laussy, C. Tejedor, and E. Del Valle, Enhanced two-photon emission from a dressed biexciton, New J. Phys. 17, 123021 (2015).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.5.L022060 for additional measurements and theoretical descriptions.
- J. D. Franson, Bell Inequality for Position and Time, Phys. Rev. Lett. 62, 2205 (1989).
- S. Aerts, P. Kwiat, J.-Å. Larsson, and M. Żukowski, Two-Photon Franson-Type Experiments and Local Realism, Phys. Rev. Lett. 83, 2872 (1999).
- J. Jogenfors and J.-Åke Larsson, Energy-time entanglement, elements of reality, and local realism, J. Phys. A: Math. Theor. 47, 424032 (2014).
- J.-Å. Larsson and R. D. Gill, Bell's inequality and the coincidence-time loophole, Europhys. Lett. 67, 707 (2004).
- A. Cabello, A. Rossi, G. Vallone, F. De Martini, and P. Mataloni, Proposed Bell Experiment with Genuine Energy-Time Entanglement, Phys. Rev. Lett. 102, 040401 (2009).
- K. Barkemeyer, M. Hohn, S. Reitzenstein, and A. Carmele, Boosting energy-time entanglement using coherent time-delayed feedback, Phys. Rev. A 103, 062423 (2021).
- L. C. B. Ryff, Franson's experiment using polarized photons, Phys. Rev. A 48, 1020 (1993).
- K. Roszak, P. Machnikowski, and L. Jacak, Phonon-induced dephasing in quantum dots - interpretation in terms of information leakage, Acta Phys. Pol. A 110, 325 (2006).
- L. Monniello, C. Tonin, R. Hostein, A. Lemaitre, A. Martinez, V. Voliotis, and R. Grousson, Excitation-Induced Dephasing in a Resonantly Driven InAs/GaAs Quantum Dot, Phys. Rev. Lett. 111, 026403 (2013).
- 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 InGaAs/GaAs Quantum Dots, Phys. Rev. Lett. 104, 017402 (2010).
- F. Liu et al., High purcell factor generation of indistinguishable on-chip single photons, Nat. Nanotechnol. 13, 835 (2018).
- G. Lima, G. Vallone, A. Chiuri, A. Cabello, and P. Mataloni, Experimental bell-inequality violation without the postselection loophole, Phys. Rev. A 81, 040101(R) (2010).