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Quantum superposition of distinct macroscopic states

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Abstract

In 1935, Schrödinger1 attempted to demonstrate the limitations of quantum mechanics using a thought experiment in which a cat is put in a quantum superposition of alive and dead states. The idea remained an academic curiosity until the 1980s when it was proposed2,3,4 that, under suitable conditions, a macroscopic object with many microscopic degrees of freedom could behave quantum mechanically, provided that it was sufficiently decoupled from its environment. Although much progress has been made in demonstrating the macroscopic quantum behaviour of various systems such as superconductors5,6,7,8,9, nanoscale magnets10,11,12, laser-cooled trapped ions13, photons in a microwave cavity14 and C60 molecules15, there has been no experimental demonstration of a quantum superposition of truly macroscopically distinct states. Here we present experimental evidence that a superconducting quantum interference device (SQUID) can be put into a superposition of two magnetic-flux states: one corresponding to a few microamperes of current flowing clockwise, the other corresponding to the same amount of current flowing anticlockwise.

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Figure 1: SQUID potential, energy-level anticrossing and experimental set-up.
Figure 2: Calculated energy levels and photon-assisted tunnelling process.
Figure 3: Experimental data.
Figure 4: Energy of the measured peaks relative to the calculated mean of the two levels as a function of ε.

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References

  1. Schrödinger, E. Die gegenwärtige situation in der quantenmechanik. Naturwissenschaften 23, 807–812, 823–828, 844–849 (1935).

    Article  ADS  Google Scholar 

  2. Caldeira, A. O. & Leggett, A. J. Influence of dissipation on quantum tunneling in macroscopic systems. Phys. Rev. Lett. 46, 211–214 ( 1981).

    Article  ADS  Google Scholar 

  3. Leggett, A. J. et al. Dynamics of the dissipative 2-state system. Rev. Mod. Phys. 59, 1–85 ( 1987).

    Article  ADS  CAS  Google Scholar 

  4. Weiss, U., Grabert, H. & Linkwitz, S. Influence of friction and temperature on coherent quantum tunneling. J. Low Temp. Phys. 68, 213– 244 (1987).

    Article  ADS  Google Scholar 

  5. Rouse, R., Han, S. & Lukens, J. E. Observation of resonant tunneling between macroscopically distinct quantum levels. Phys. Rev. Lett. 75, 1614–1617 (1995).

    Article  ADS  CAS  Google Scholar 

  6. Rouse, R., Han, S. & Lukens, J. E. in Phenomenology of Unification from Present to Future (eds Palazzi, G. D., Cosmelli, C. & Zanello, L.) 207– 224 (World Scientific, Singapore, 1998).

    Google Scholar 

  7. Clarke, J., Cleland, A. N., Devoret, M. H., Esteve, D. & Martinis, J. M. Quantum mechanics of a macroscopic variable: the phase difference of a Josephson junction. Science 239, 992–997 ( 1988).

    Article  ADS  CAS  Google Scholar 

  8. Silvestrini, P., Palmieri, V. G., Ruggiero, B. & Russo, M. Observation of energy level quantization in underdamped Josephson junctions above the classical-quantum regime crossover temperature. Phys. Rev. Lett. 79, 3046–3049 (1997).

    Article  ADS  CAS  Google Scholar 

  9. Nakamura, Y., Pashkin, Y. A. & Tsai, J. S. Coherent control of macroscopic quantum states in a single-Cooper-pair box. Nature 398, 786 –788 (1999).

    Article  ADS  CAS  Google Scholar 

  10. Friedman, J. R., Sarachik, M. P., Tejada, J. & Ziolo, R. Macroscopic measurement of resonant magnetization tunneling in high-spin molecules. Phys. Rev. Lett. 76, 3830– 3833 (1996).

    Article  ADS  CAS  Google Scholar 

  11. del Barco, E. et al. Quantum coherence in Fe8 molecular nanomagnets. Europhys. Lett. 47, 722– 728 (1999).

    Article  ADS  CAS  Google Scholar 

  12. Wernsdorfer, W. et al. Macroscopic quantum tunneling of magnetization of single ferrimagnetic nanoparticles of barium ferrite. Phys. Rev. Lett. 79 , 4014–4017 (1997).

    Article  ADS  CAS  Google Scholar 

  13. Monroe, C., Meekhof, D. M., King, B. E. & Wineland, D. J. A “Schrödinger cat” superposition state of an atom. Science 272, 1131–1136 ( 1996).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  14. Brune, M. et al. Observing the progressive decoherence of the “meter” in a quantum measurement. Phys. Rev. Lett. 77, 4887–4890 (1996).

    Article  ADS  CAS  Google Scholar 

  15. Arndt, M. et al. Wave–particle duality of C60 molecules. Nature 401, 680–682 ( 1999).

    Article  ADS  CAS  Google Scholar 

  16. Averin, D., Friedman, J. R. & Lukens, J. E. Macroscopic resonant tunneling of magnetic flux. Preprint cond-mat/0005081 at 〈xxx.lanl.gov〉 ( 2000).

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Acknowledgements

We thank D. Averin and S. Han for useful conversations, J. Männik, R. Rouse and A. Lipski for technical advice and assistance and M. P. Sarachik for the loan of some equipment. This work was supported by the US Army Research Office and the US National Science Foundation.

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Correspondence to Jonathan R. Friedman.

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Friedman, J., Patel, V., Chen, W. et al. Quantum superposition of distinct macroscopic states. Nature 406, 43–46 (2000). https://doi.org/10.1038/35017505

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