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  • Letter
  • Open Access

Quantum Zeno manipulation of quantum dots

N. Ahmadiniaz1, M. Geller2, J. König2, P. Kratzer2, A. Lorke2, G. Schaller1, and R. Schützhold1,3

  • 1Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden, Germany
  • 2Fakultät für Physik and CENIDE, Universität Duisburg-Essen, Lotharstraße 1, 47057 Duisburg, Germany
  • 3Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

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Phys. Rev. Research 4, L032045 – Published 26 September, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L032045

Abstract

We investigate whether and how the quantum Zeno effect, i.e., the inhibition of quantum evolution by frequent measurements, can be employed to isolate a quantum dot from its surrounding electron reservoir. In contrast to the often studied case of tunneling between discrete levels, we consider the tunneling of an electron from a continuum reservoir to a discrete level in the dot. Realizing the quantum Zeno effect in this scenario can be much harder because the measurements should be repeated before the wave packet of the hole left behind in the reservoir moves away from the vicinity of the dot. Thus the required repetition rate could be lowered by having a flat band (with a slow group velocity) in resonance with the dot or a sufficiently small Fermi velocity or a strong external magnetic field. We also consider the anti-Zeno effect, i.e., how measurements can accelerate or enable quantum evolution.

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References (53)

  1. B. Misra and E. C. G. Sudarshan, The Zeno's paradox in quantum theory, J. Math. Phys. 18, 756 (1977).
  2. W. M. Itano, D. J. Heinzen, J. J. Bollinger, and D. J. Wineland, Quantum Zeno effect, Phys. Rev. A 41, 2295 (1990).
  3. G. Hackenbroich, B. Rosenow, and H. A. Weidenmüller, Quantum Zeno Effect and Parametric Resonance in Mesoscopic Physics, Phys. Rev. Lett. 81, 5896 (1998).
  4. M. C. Fischer, B. Gutiérrez-Medina, and M. G. Raizen, Observation of the Quantum Zeno and Anti-Zeno Effects in an Unstable System, Phys. Rev. Lett. 87, 040402 (2001).
  5. E. W. Streed, J. Mun, M. Boyd, G. K. Campbell, P. Medley, W. Ketterle, and D. E. Pritchard, Continuous and Pulsed Quantum Zeno Effect, Phys. Rev. Lett. 97, 260402 (2006).
  6. J. Bernu, S. Deléglise, C. Sayrin, S. Kuhr, I. Dotsenko, M. Brune, J. M. Raimond, and S. Haroche, Freezing Coherent Field Growth in a Cavity by the Quantum Zeno Effect, Phys. Rev. Lett. 101, 180402 (2008).
  7. D. H. Slichter, C. Müller, R. Vijay, S. J. Weber, A. Blais, and I. Siddiqi, Quantum Zeno effect in the strong measurement regime of circuit quantum electrodynamics, New J. Phys. 18, 053031 (2016).
  8. P. Facchi, H. Nakazato, and S. Pascazio, From the Quantum Zeno to the Inverse Quantum Zeno Effect, Phys. Rev. Lett. 86, 2699 (2001).
  9. P. Facchi and S. Pascazio, Quantum Zeno Subspaces, Phys. Rev. Lett. 89, 080401 (2002).
  10. P. Facchi, D. A. Lidar, and S. Pascazio, Unification of dynamical decoupling and the quantum Zeno effect, Phys. Rev. A 69, 032314 (2004).
  11. H. M. Wiseman and G. J. Milburn, Quantum Measurement and Control (Cambridge University Press, Cambridge, England, 2010).
  12. G. A. Álvarez, D. D. B. Rao, L. Frydman, and G. Kurizki, Zeno and Anti-Zeno Polarization Control of Spin Ensembles by Induced Dephasing, Phys. Rev. Lett. 105, 160401 (2010).
  13. G. A. Paz-Silva, A. T. Rezakhani, J. M. Dominy, and D. A. Lidar, Zeno Effect for Quantum Computation and Control, Phys. Rev. Lett. 108, 080501 (2012).
  14. F. Schäfer, I. Herrera, S. Cherukattil, C. Lovecchio, F. Cataliotti, F. Caruso, and A. Smerzi, Experimental realization of quantum Zeno dynamics, Nat. Commun. 5, 3194 (2014).
  15. G. Barontini, L. Hohmann, F. Haas, J. Estève, and J. Reichel, Deterministic generation of multiparticle entanglement by quantum Zeno dynamics, Science 349, 1317 (2015).
  16. B. Zhu, B. Gadway, M. Foss-Feig, J. Schachenmayer, M. L. Wall, K. R. A. Hazzard, B. Yan, S. A. Moses, J. P. Covey, D. S. Jin, J. Ye, M. Holland, and A. M. Rey, Suppressing the Loss of Ultracold Molecules Via the Continuous Quantum Zeno Effect, Phys. Rev. Lett. 112, 070404 (2014).
  17. T. Fujisawa, T. Hayashi, R. Tomita, and Y. Hirayama, Bidirectional counting of single electrons, Science 312, 1634 (2006).
  18. C. Flindt, C. Fricke, F. Hohls, T. Novotny, K. Netocny, T. Brandes, and R. J. Haug, Universal oscillations in counting statistics, Proc. Natl. Acad. Sci. USA 106, 10116 (2009).
  19. A. Kurzmann, B. Merkel, P. A. Labud, A. Ludwig, A. D. Wieck, A. Lorke, and M. Geller, Optical Blocking of Electron Tunneling into a Single Self-Assembled Quantum Dot, Phys. Rev. Lett. 117, 017401 (2016).
  20. A. Kurzmann, P. Stegmann, J. Kerski, R. Schott, A. Ludwig, A. D. Wieck, J. König, A. Lorke, and M. Geller, Optical Detection of Single-Electron Tunneling into a Semiconductor Quantum Dot, Phys. Rev. Lett. 122, 247403 (2019).
  21. S. A. Gurvitz, L. Fedichkin, D. Mozyrsky, and G. P. Berman, Relaxation and the Zeno Effect in Qubit Measurements, Phys. Rev. Lett. 91, 066801 (2003).
  22. S. A. Gurvitz, Quantum limit of measurement and the projection postulate, Int. J. Mod. Phys. B 20, 1363 (2006).
  23. D. Segal and D. R. Reichman, Zeno and anti-Zeno effects in spin-bath models, Phys. Rev. A 76, 012109 (2007).
  24. G. Schaller, J. Cerrillo, G. Engelhardt, and P. Strasberg, Electronic Maxwell demon in the coherent strong-coupling regime, Phys. Rev. B 97, 195104 (2018).
  25. N. V. Leppenen and D. S. Smirnov, Optical measurement of electron spins in quantum dots: Quantum Zeno effects, arXiv:2202.13994.
  26. S. A. Gurvitz, Measurements with a noninvasive detector and dephasing mechanism, Phys. Rev. B 56, 15215 (1997).
  27. G. Engelhardt and G. Schaller, Maxwell's demon in the quantum-Zeno regime and beyond, New J. Phys. 20, 023011 (2018).
  28. T. Ando, A. B. Fowler, and F. Stern, Electronic properties of two-dimensional systems, Rev. Mod. Phys. 54, 437 (1982).
  29. S. M. Reimann and M. Manninen, Electronic structure of quantum dots, Rev. Mod. Phys. 74, 1283 (2002).
  30. M. Russ, A. Lorke, D. Reuter, and P. Schafmeister, Self-assembled quantum dots as probes for Landau-level spectroscopy, Physica E 22, 506 (2004).
  31. M. Ruß, C. Meier, A. Lorke, D. Reuter, and A. D. Wieck, Role of quantum capacitance in coupled low-dimensional electron systems, Phys. Rev. B 73, 115334 (2006).
  32. M. Geller, Nonequilibrium carrier dynamics in self-assembled quantum dots, Appl. Phys. Rev. 6, 031306 (2019).
  33. E. E. Vdovin, A. Levin, A. Patanè, L. Eaves, P. C. Main, Y. N. Khanin, Y. V. Dubrovskii, M. Henini, and G. Hill, Imaging the electron wave function in self-assembled quantum dots, Science 290, 122 (2000).
  34. R. J. Warburton, B. T. Miller, C. S. Dürr, C. Bödefeld, K. Karrai, J. P. Kotthaus, G. Medeiros-Ribeiro, P. M. Petroff, and S. Huant, Coulomb interactions in small charge-tunable quantum dots: A simple model, Phys. Rev. B 58, 16221 (1998).
  35. O. S. Wibbelhoff, A. Lorke, D. Reuter, and A. D. Wieck, Magnetocapacitance probing of the many-particle states in InAs dots, Appl. Phys. Lett. 86, 092104 (2005).
  36. H. Haug and A.-P. Jauho, Quantum Kinetics in Transport and Optics of Semiconductors (Springer, Berlin, 2008).
  37. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.4.L032045 for details on the dynamics of detectors sensitive to filled or empty dots, Zeno dynamics for reservoirs with a structured spectral function, and details on the inverse Zeno effect for off-resonant reservoirs [8, 43, 51, 52, 53].
  38. R. Schützhold and G. Gnanapragasam, Quantum Zeno suppression of three-body losses in Bose-Einstein condensates, Phys. Rev. A 82, 022120 (2010).
  39. S. A. Gurvitz, Josephson-type effect in resonant-tunneling heterostructures, Phys. Rev. B 44, 11924 (1991).
  40. D. Zhou, A. Beckel, A. Ludwig, A. D. Wieck, M. Geller, and A. Lorke, Tuning the tunneling probability between low-dimensional electron systems by momentum matching, Appl. Phys. Lett. 106, 243105 (2015).
  41. O. Ciftja, Detailed solution of the problem of Landau states in a symmetric gauge, Eur. J. Phys. 41, 035404 (2020).
  42. W. Lei, C. Notthoff, J. Peng, D. Reuter, A. Wieck, G. Bester, and A. Lorke, “Artificial Atoms” in Magnetic Fields: Wave-Function Shaping and Phase-Sensitive Tunneling, Phys. Rev. Lett. 105, 176804 (2010).
  43. A. G. Kofman and G. Kurizki, Acceleration of quantum decay processes by frequent observations, Nature (London) 405, 546 (2000).
  44. M. Sifft, A. Kurzmann, J. Kerski, R. Schott, A. Ludwig, A. D. Wieck, A. Lorke, M. Geller, and D. Hägele, Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong- and weak-measurement regime, Phys. Rev. Res. 3, 033123 (2021).
  45. M. Fricke, A. Lorke, J. P. Kotthaus, G. Medeiros-Ribeiro, and P. M. Petroff, Shell structure and electron-electron interaction in self-assembled InAs quantum dots, Europhys. Lett. 36, 197 (1996).
  46. In the quantum Hall regime, small residual electric fields within the 2DEG that originate, e.g., from interface roughness or electrostatic potential fluctuations introduced by the quantum dots, will result in a drift of the wave packet in crossed E and B fields. The drift velocity vdrift=c(E×B) is, however, much lower than the Fermi velocity in the original, field-free 2DEG. Thus the problem of a temporally decreasing overlap is diminished.
  47. A. Caldeira and A. Leggett, Quantum tunnelling in a dissipative system, Ann. Phys. 149, 374 (1983).
  48. J. Kerski, P. Lochner, A. Ludwig, A. Wieck, A. Kurzmann, A. Lorke, and M. Geller, Quantum Sensor for Nanoscale Defect Characterization, Phys. Rev. Appl. 15, 024029 (2021).
  49. B. L. Altshuler, A. B. Aronov, and D. E. Khmelnitsky, Effects of electron-electron collisions with small energy transfers on quantum localisation, J. Phys. C 15, 7367 (1982).
  50. S. Koch, R. J. Haug, K. von Klitzing, and K. Ploog, Direct measurement of critical exponents in the quantum Hall regime, Surf. Sci. 263, 108 (1992).
  51. A. Nazir and G. Schaller, The reaction coordinate mapping in quantum thermodynamics, in Thermodynamics in the Quantum Regime – Recent Progress and Outlook, edited by F. Binder, L. A. Correa, C. Gogolin, J. Anders, and G. Adesso, Fundamental Theories of Physics (Springer, Cham, 2019), p. 551.
  52. N. Martensen and G. Schaller, Transmission from reverse reaction coordinate mappings, Eur. Phys. J. B 92, 30 (2019).
  53. G. T. Landi, D. Poletti, and G. Schaller, Non-equilibrium boundary driven quantum systems: Models, methods and properties, Rev. Mod. Phys., arXiv:2104.14350.

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Phys. Rev. Research 4, L032045– Published 26 September, 2022
  • Received 19 April 2022
  • Accepted 26 August 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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