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Quantum Noise of Electron–Phonon Heat Current

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Abstract

We analyze heat current fluctuations between electrons and phonons in a metal. In equilibrium we recover the standard result consistent with the fluctuation–dissipation theorem. Here we show that heat current noise at finite frequencies remains non-vanishing down to zero temperature. From the experimental point of view, it is a small effect and up to now elusive. We briefly discuss the impact of electron–phonon heat current fluctuations on calorimetry, particularly in the regime of single microwave-photon detection.

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References

  1. H. Pothier, S. Gueron, N.O. Birge, D. Esteve, M.H. Devoret, Energy distribution function of quasiparticles in mesoscopic wires. Phys. Rev. Lett. 79, 3490 (1997)

    Article  ADS  Google Scholar 

  2. V.F. Gantmakher, The experimental study of electron–phonon scattering in metals. Rep. Prog. Phys. 37, 317 (1974)

    Article  ADS  Google Scholar 

  3. M.L. Roukes, M.R. Freeman, R.S. Germain, R.C. Richardson, M.B. Ketchen, Hot electrons and energy transport in metals at millikelvin temperatures. Phys. Rev. Lett. 55, 422 (1985)

    Article  ADS  Google Scholar 

  4. F.C. Wellstood, C. Urbina, J. Clarke, Hot-electron effects in metals. Phys. Rev. B 49, 5942 (1994)

    Article  ADS  Google Scholar 

  5. A.L. Fetter, J.D. Walecka, Quantum Theory of Many-Particles Systems (McGraw-Hill, San Francisco, 1971), pp. 396–399

    Google Scholar 

  6. M.D. Eisaman, J. Fan, A. Migdall, S.V. Polyakov, Invited review article: single-photon sources and detectors. Rev. Sci. Instrum. 82, 071101 (2011)

    Article  ADS  Google Scholar 

  7. J.P. Pekola, P. Solinas, A. Shnirman, D.V. Averin, Calorimetric measurement of work in a quantum system. New J. Phys. 15, 115006 (2013)

    Article  ADS  Google Scholar 

  8. D. Golubev, L. Kuzmin, Nonequilibrium theory of a hot-electron bolometer with normal metal-insulator-superconductor tunnel junction. J. Appl. Phys. 89, 6464 (2001)

    Article  ADS  Google Scholar 

  9. S.R. Golwala, J. Jochum, B. Sadoulet, Noise considerations in low resistance NIS junctions, in Proceedings of the VIIth International Workshop on Low Temperature Detectors, 27 July–2 August, 1997, Munich, Germany, ed. by S. Cooper (1997), pp. 64–65

  10. D.V. Averin, J.P. Pekola, Violation of the fluctuation-dissipation theorem in time-dependent mesoscopic heat transport. Phys. Rev. Lett. 104, 220601 (2010)

    Article  ADS  Google Scholar 

  11. N.W. Ashcroft, N. David Mermin, Solid State Physics (Holt, Rinehart and Winston, New York, 1976)

    MATH  Google Scholar 

  12. A.N. Cleland, Foundations of Nanomechanics: From Solid-State Theory to Device Applications (Springer, New York, 2003)

    Book  Google Scholar 

  13. D. Sergi, Energy transport and fluctuations in small conductors. Phys. Rev. B 83, 033401 (2011)

    Article  ADS  Google Scholar 

  14. F. Zhan, S. Denisov, P. Hänggi, Electronic heat transport across a molecular wire: power spectrum of heat fluctuations. Phys. Rev. B 84, 195117 (2011)

    Article  ADS  Google Scholar 

  15. R.J. Schoelkopf, P. Wahlgren, A.A. Kozhevnikov, P. Delsing, D.E. Prober, The radio-frequency single-electron transistor (RF-SET): a fast and ultrasensitive electrometer. Science 280, 1238 (1998)

    Article  ADS  Google Scholar 

  16. A. Wallraff, D.I. Schuster, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. Kumar, S.M. Girvin, R.J. Schoelkopf, Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics. Nature 431, 162 (2004)

    Article  ADS  Google Scholar 

  17. D.R. Schmidt, C.S. Yung, A.N. Cleland, Nanoscale radiofrequency thermometry. Appl. Phys. Lett. 83, 1002 (2003)

    Article  ADS  Google Scholar 

  18. S. Gasparinetti, K.L. Viisanen, O.-P. Saira, T. Faivre, M. Arzeo, M. Meschke, J.P. Pekola, Fast electron thermometry towards ultra-sensitive calorimetric detection. Phys. Rev. Appl. 3, 014007 (2015)

    Article  ADS  Google Scholar 

  19. O.-P. Saira, M. Zgirski, K.L. Viisanen, D.S. Golubev, J.P. Pekola, Dispersive thermometry with a Josephson junction coupled to a resonator. Phys. Rev. Appl. 6, 024005 (2016)

    Article  ADS  Google Scholar 

  20. Z. Iftikhar, A. Anthore, S. Jezouin, F.D. Parmentier, Y. Jin, A. Cavanna, A. Ouerghi, U. Gennser, F. Pierre, Primary thermometry triad at 6 mK in mesoscopic circuits. Nat. Commun. 7, 12908 (2016)

    Article  ADS  Google Scholar 

  21. A.V. Feshchenko, L. Casparis, I.M. Khaymovich, D. Maradan, O.-P. Saira, M. Palma, M. Meschke, J.P. Pekola, D.M. Zumbühl, Tunnel-junction thermometry down to millikelvin temperatures. Phys. Rev. Appl. 4, 034001 (2015)

    Article  ADS  Google Scholar 

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Acknowledgements

We thank D. V. Averin for useful discussions. We acknowledge financial support from the Academy of Finland under Grants 312057 and 303677. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the European Research Council (ERC) programme and Marie Sklodowska-Curie actions (Grant agreements 742559 and 766025).

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Correspondence to Bayan Karimi.

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Pekola, J.P., Karimi, B. Quantum Noise of Electron–Phonon Heat Current. J Low Temp Phys 191, 373–379 (2018). https://doi.org/10.1007/s10909-018-1854-y

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  • DOI: https://doi.org/10.1007/s10909-018-1854-y

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