Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Tuning the nuclei-induced spin relaxation of localized electrons by the quantum Zeno and anti-Zeno effects

V. Nedelea1,2, N. V. Leppenen3, E. Evers1, D. S. Smirnov3,*, M. Bayer1, and A. Greilich1,†

  • 1Experimentelle Physik 2, Technische Universität Dortmund, 44221 Dortmund, Germany
  • 2Istitute of Applied Physics, Moldova State University, MD2028, Moldova
  • 3Ioffe Institute, 194021 St. Petersburg, Russia

  • *smirnov@mail.ioffe.ru
  • †alex.greilich@tu-dortmund.de

Phys. Rev. Research 5, L032032 – Published 7 September, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L032032

Abstract

Quantum measurement back action is fundamentally unavoidable when manipulating electron spins. Here we demonstrate that this back action can be efficiently exploited to tune the spin relaxation of localized electrons induced by the hyperfine interaction. In optical pump-probe experiments, powerful probe pulses suppress the spin relaxation of electrons on Si donors in an InGaAs epilayer due to the quantum Zeno effect. By contrast, an increase of the probe power leads to a speed-up of the spin relaxation for electrons in InGaAs quantum dots due to the quantum anti-Zeno effect. The microscopic description shows that the transition between the two regimes occurs when the spin dephasing time is comparable to the probe pulse repetition period.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (62)

  1. V. Frerichs and A. Schenzle, Quantum Zeno effect without collapse of the wave packet, Phys. Rev. A 44, 1962 (1991).
  2. P. Facchi and S. Pascazio, Quantum Zeno and inverse quantum Zeno effects, in Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 2001), Vol. 42, pp. 147–217.
  3. Edited by K. Kraus, A. Böhm, J. D. Dollard, and W. H. Wootters, States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer, Berlin, 1983).
  4. V. B. Braginsky and F. Y. Khalili, Quantum nondemolition measurements: The route from toys to tools, Rev. Mod. Phys. 68, 1 (1996).
  5. S. Haroche and J.-M. Raimond, Exploring the Quantum: Atoms, Cavities, and Photons (Oxford University Press, Oxford, 2006), pp. 151–161.
  6. A. A. Clerk, M. H. Devoret, S. M. Girvin, F. Marquardt, and R. J. Schoelkopf, Introduction to quantum noise, measurement, and amplification, Rev. Mod. Phys. 82, 1155 (2010).
  7. R. Raussendorf, D. E. Browne, and H. J. Briegel, Measurement-based quantum computation on cluster states, Phys. Rev. A 68, 022312 (2003).
  8. H. J. Briegel, D. E. Browne, W. Dür, R. Raussendorf, and M. V. den Nest, Measurement-based quantum computation, Nat. Phys. 5, 19 (2009).
  9. S. C. Benjamin, B. W. Lovett, and J. M. Smith, Prospects for measurement-based quantum computing with solid state spins, Laser Photon. Rev. 3, 556 (2009).
  10. L. A. Khalfin, Contribution to the decay theory of a quasi-stationary state, Zh. Eksp. Teor. Fiz. 33, 1371 (1958) [Sov. Phys. JETP 6, 1053 (1958)].
  11. B. Misra and E. C. G. Sudarshan, The Zeno's paradox in quantum theory, J. Math. Phys. 18, 756 (1977).
  12. P. Facchi and S. Pascazio, Quantum Zeno dynamics: Mathematical and physical aspects, J. Phys. A: Math. Theor. 41, 493001 (2008).
  13. B. Kaulakys and V. Gontis, Quantum anti-Zeno effect, Phys. Rev. A 56, 1131 (1997).
  14. P. Facchi, H. Nakazato, and S. Pascazio, From the Quantum Zeno to the Inverse Quantum Zeno Effect, Phys. Rev. Lett. 86, 2699 (2001).
  15. S. Maniscalco, J. Piilo, and K.-A. Suominen, Zeno and Anti-Zeno Effects for Quantum Brownian Motion, Phys. Rev. Lett. 97, 130402 (2006).
  16. J. D. Franson, B. C. Jacobs, and T. B. Pittman, Quantum computing using single photons and the Zeno effect, Phys. Rev. A 70, 062302 (2004).
  17. Y. P. Huang and M. G. Moore, Interaction- and measurement-free quantum Zeno gates for universal computation with single-atom and single-photon qubits, Phys. Rev. A 77, 062332 (2008).
  18. Edited by M. I. Dyakonov, Spin Physics in Semiconductors (Springer International Publishing AG, Berlin, 2017).
  19. R. J. Elliott, Theory of the effect of spin-orbit coupling on magnetic resonance in some semiconductors, Phys. Rev. 96, 266 (1954).
  20. Y. Yafet, g-factors and spin-lattice relaxation of conduction electrons, in Solid State Physics, edited by F. Seitz and D. Turnbull (Academic, New-York, 1963), p. 2.
  21. G. L. Bir, A. G. Aronov, and G. E. Pikus, Spin relaxation of electrons due to scattering by holes, Zh. Eksp. Teor. Fiz. 69, 1382 (1975) [Sov. Phys. JETP 42, 705 (1975)].
  22. M. Dyakonov and V. Perel', Spin relaxation of conduction electrons in noncentrosymmetric semiconductors, Solid State Phys. 13, 3023 (1972).
  23. I. A. Merkulov, A. L. Efros, and M. Rosen, Electron spin relaxation by nuclei in semiconductor quantum dots, Phys. Rev. B 65, 205309 (2002).
  24. A. V. Khaetskii, D. Loss, and L. Glazman, Electron Spin Decoherence in Quantum Dots due to Interaction with Nuclei, Phys. Rev. Lett. 88, 186802 (2002).
  25. W. A. Coish and D. Loss, Hyperfine interaction in a quantum dot: Non-markovian electron spin dynamics, Phys. Rev. B 70, 195340 (2004).
  26. W. A. Coish and J. Baugh, Nuclear spins in nanostructures, Phys. Status Solidi B 246, 2203 (2009).
  27. A. V. Shumilin and D. S. Smirnov, Nuclear Spin Dynamics, Noise, Squeezing, and Entanglement in Box Model, Phys. Rev. Lett. 126, 216804 (2021).
  28. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.5.L032032 for the additional quantum anti-Zeno effect measurements for a complementary QDs sample, spin-inertia measurements for the epilayer sample, and additional theoretical details about finding the steady state solution, numerical averaging over the random nuclear fields and comparison of the analytical and numerical calculations.
  29. S. V. Poltavtsev, I. I. Ryzhov, M. M. Glazov, G. G. Kozlov, V. S. Zapasskii, A. V. Kavokin, P. G. Lagoudakis, D. S. Smirnov, and E. L. Ivchenko, Spin noise spectroscopy of a single quantum well microcavity, Phys. Rev. B 89, 081304(R) (2014).
  30. P. V. Pyshkin, E. Y. Sherman, D.-W. Luo, J. Q. You, and L.-A. Wu, Spatial compression of a particle state in a parabolic potential by spin measurements, Phys. Rev. B 94, 134313 (2016).
  31. N. V. Leppenen, L. Lanco, and D. S. Smirnov, Quantum Zeno effect and quantum nondemolition spin measurement in a quantum dot–micropillar cavity in the strong coupling regime, Phys. Rev. B 103, 045413 (2021).
  32. N. V. Leppenen and D. S. Smirnov, Optical measurement of electron spins in quantum dots: Quantum Zeno effects, Nanoscale 14, 13284 (2022).
  33. G. Hackenbroich, B. Rosenow, and H. A. Weidenmüller, Quantum Zeno Effect and Parametric Resonance in Mesoscopic Physics, Phys. Rev. Lett. 81, 5896 (1998).
  34. D. V. Khomitsky, L. V. Gulyaev, and E. Y. Sherman, Spin dynamics in a strongly driven system: Very slow Rabi oscillations, Phys. Rev. B 85, 125312 (2012).
  35. L. Kang, Y. Zhang, X. Xu, and X. Tang, Quantum measurement of a double quantum dot coupled to two kinds of environment, Phys. Rev. B 96, 235417 (2017).
  36. N. Ahmadiniaz, M. Geller, J. König, P. Kratzer, A. Lorke, G. Schaller, and R. Schützhold, Quantum Zeno manipulation of quantum dots, Phys. Rev. Res. 4, L032045 (2022).
  37. M. Yamaguchi, T. Asano, and S. Noda, Photon emission by nanocavity-enhanced quantum anti-Zeno effect in solid-state cavity quantum-electrodynamics, Opt. Express 16, 18067 (2008).
  38. K. J. Xu, Y. P. Huang, M. G. Moore, and C. Piermarocchi, Two-Qubit Conditional Phase Gate in Laser-Excited Semiconductor Quantum Dots Using the Quantum Zeno Effect, Phys. Rev. Lett. 103, 037401 (2009).
  39. T. Nutz, P. Androvitsaneas, A. Young, R. Oulton, and D. P. S. McCutcheon, Stabilization of an optical transition energy via nuclear Zeno dynamics in quantum-dot–cavity systems, Phys. Rev. A 99, 053853 (2019).
  40. D. Klauser, W. A. Coish, and D. Loss, Nuclear spin dynamics and Zeno effect in quantum dots and defect centers, Phys. Rev. B 78, 205301 (2008).
  41. M. T. Mkadzik, T. D. Ladd, F. E. Hudson, K. M. Itoh, A. M. Jakob, B. C. Johnson, J. C. McCallum, D. N. Jamieson, A. S. Dzurak, A. Laucht, and A. Morello, Controllable freezing of the nuclear spin bath in a single-atom spin qubit, Sci. Adv. 6, eaba3442 (2020).
  42. T. Maimbourg, D. M. Basko, M. Holzmann, and A. Rosso, Bath-Induced Zeno Localization in Driven Many-Body Quantum Systems, Phys. Rev. Lett. 126, 120603 (2021).
  43. P. Schering, E. Evers, V. Nedelea, D. S. Smirnov, E. A. Zhukov, D. R. Yakovlev, M. Bayer, G. S. Uhrig, and A. Greilich, Resonant spin amplification in faraday geometry, Phys. Rev. B 103, L201301 (2021).
  44. C. Rittmann, M. Y. Petrov, A. N. Kamenskii, K. V. Kavokin, A. Y. Kuntsevich, Y. P. Efimov, S. A. Eliseev, M. Bayer, and A. Greilich, Unveiling the electron-nuclear spin dynamics in an n-doped InGaAs epilayer by spin noise spectroscopy, Phys. Rev. B 106, 035202 (2022).
  45. M. M. Glazov, Electron and Nuclear Spin Dynamics in Semiconductor Nanostructures (Oxford University Press, Oxford, 2018).
  46. A. V. Khaetskii and Y. V. Nazarov, Spin-flip transitions between Zeeman sublevels in semiconductor quantum dots, Phys. Rev. B 64, 125316 (2001).
  47. L. M. Woods, T. L. Reinecke, and Y. Lyanda-Geller, Spin relaxation in quantum dots, Phys. Rev. B 66, 161318(R) (2002).
  48. J. Hackmann, D. S. Smirnov, M. M. Glazov, and F. B. Anders, Spin noise in a quantum dot ensemble: From a quantum mechanical to a semi-classical description, Phys. Status Solidi B 251, 1270 (2014).
  49. D. S. Smirnov, P. Glasenapp, M. Bergen, M. M. Glazov, D. Reuter, A. D. Wieck, M. Bayer, and A. Greilich, Nonequilibrium spin noise in a quantum dot ensemble, Phys. Rev. B 95, 241408(R) (2017).
  50. I. A. Yugova, M. M. Glazov, E. L. Ivchenko, and A. L. Efros, Pump-probe Faraday rotation and ellipticity in an ensemble of singly charged quantum dots, Phys. Rev. B 80, 104436 (2009).
  51. E. A. Zhukov, A. Greilich, D. R. Yakovlev, K. V. Kavokin, I. A. Yugova, O. A. Yugov, D. Suter, G. Karczewski, T. Wojtowicz, J. Kossut, V. V. Petrov, Y. K. Dolgikh, A. Pawlis, and M. Bayer, All-optical NMR in semiconductors provided by resonant cooling of nuclear spins interacting with electrons in the resonant spin amplification regime, Phys. Rev. B 90, 085311 (2014).
  52. P. Schering, G. S. Uhrig, and D. S. Smirnov, Spin inertia and polarization recovery in quantum dots: Role of pumping strength and resonant spin amplification, Phys. Rev. Res. 1, 033189 (2019).
  53. N. Bohr, The quantum postulate and the recent development of atomic theory, Nature (London) 121, 580 (1928).
  54. V. B. Braginsky and F. Y. Khalili, Quantum Measurement (Cambridge University Press, Cambridge, England, 1992).
  55. E. L. Ivchenko, Optical Spectroscopy of Semiconductor Nanostructures (Alpha Science, Harrow UK, 2005).
  56. E. A. Zhukov, D. R. Yakovlev, M. M. Glazov, L. Fokina, G. Karczewski, T. Wojtowicz, J. Kossut, and M. Bayer, Optical control of electron spin coherence in CdTe/(Cd,Mg)Te quantum wells, Phys. Rev. B 81, 235320 (2010).
  57. Note that the saturation of the optical transition does not affect the ratio 〈Sz〉/S0 [28].
  58. D. S. Smirnov, E. A. Zhukov, D. R. Yakovlev, E. Kirstein, M. Bayer, and A. Greilich, Spin polarization recovery and Hanle effect for charge carriers interacting with nuclear spins in semiconductors, Phys. Rev. B 102, 235413 (2020).
  59. N. Erez, G. Gordon, M. Nest, and G. Kurizki, Thermodynamic control by frequent quantum measurements, Nature (London) 452, 724 (2008).
  60. E. Evers, N. E. Kopteva, I. A. Yugova, D. R. Yakovlev, D. Reuter, A. D. Wieck, M. Bayer, and A. Greilich, Suppression of nuclear spin fluctuations in an InGaAs quantum dot ensemble by GHz-pulsed optical excitation, npj Quantum Inf. 7, 60 (2021).
  61. E. A. Zhukov, E. Kirstein, D. S. Smirnov, D. R. Yakovlev, M. M. Glazov, D. Reuter, A. D. Wieck, M. Bayer, and A. Greilich, Spin inertia of resident and photoexcited carriers in singly charged quantum dots, Phys. Rev. B 98, 121304(R) (2018).
  62. V. V. Belykh, E. Evers, D. R. Yakovlev, F. Fobbe, A. Greilich, and M. Bayer, Extended pump-probe Faraday rotation spectroscopy of the submicrosecond electron spin dynamics in n-type GaAs, Phys. Rev. B 94, 241202(R) (2016).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation