Abstract
Macroscopic quantum coherence has been observed in some many-body systems including superconductors, quantum liquids1 and cold atom condensates2, but never for a single quasi-particle state. In an ideal semiconductor, excitons (electron–hole pairs bound by the Coulomb interaction) can, in principle, exist as delocalized plane waves extending over the entire volume. However, any kind of disorder prevents long-range spatial coherence from emerging. There has been evidence for the formation of macroscopic coherent states only in condensate phases such as in the case of microcavity polaritons condensation3,4 or in a dense quasi-two-dimensional exciton gas5. It is unclear however, whether in this latter case the observations are really related to macroscopic coherence6. Here, we show that a single exciton state in an individual ordered conjugated polymer chain7,8, shows macroscopic quantum spatial coherence reaching tens of micrometres, limited by the chain length. The spatial coherence of the k=0 exciton state is demonstrated by selecting two spatially separated emitting regions of the chain and observing their interference.
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References
Yarmuck, E. J., Gordon, M. J. V. & Packard, R. E. Observation of stationary vortex arrays in rotating superfluid helium. Phys. Rev. Lett. 43, 214–217 (1979).
Simsarian, J. E. et al. Imaging the phase of an evolving Bose-Einstein condensate wave function. Phys. Rev. Lett. 85, 2040–2043 (2000).
Savvidis, P. G. & Lagoudakis, P. G. Teaching polaritons new tricks. Semicond. Sci. Technol. 18, S311–S318 (2003).
Bloch, J. et al. Monitoring the dynamics of a coherent cavity polariton population. Phys. Rev. B 71, 155311 (2005).
Butov, L. V., Gossard, A. C. & Chemla, D. S. Macroscopically ordered state in an exciton system. Nature 418, 751–754 (2002).
Snoke, D., Denev, S., Liu, Y., Pfeiffer, L. & West, K. Long-range transport in excitonic dark states in coupled quantum wells. Nature 418, 754–757 (2002).
Dubin, F. et al. Optical evidence of a purely one-dimensional exciton density of states in a single conjugated polymer chain. Phys. Rev. B 66, 113202 (2002).
Lécuiller, R. et al. Fluorescence yield and lifetime of isolated polydiacetylene chains: evidence of a one-dimensional exciton band in a conjugated polymer. Phys. Rev. B 66, 125205 (2002).
Schott, M. in Photophysics of Molecular Materials. From Single Molecules to Single Crystals (ed. Lanzani, G.) (Wiley–VCH, Berlin, in the press).
Sariciftci, N. S. (ed.) Primary Photoexcitations in Conjugated Polymers: Molecular Excitons Versus Semiconductor Band Model (World Scientific, Singapore, 1997).
Lécuiller, R., Berréhar, J., Lapersonne-Meyer, C. & Schott, M. Dual resonance fluorescence of polydiacetylene chains isolated in their crystalline monomer matrix. Phys. Rev. Lett. 80, 4068–4071 (1998).
Guillet, T. et al. Emission of a single conjugated polymer chain isolated in its single crystal monomer matrix. Phys. Rev. Lett. 87, 087401 (2001).
Haacke, S., Berréhar, J., Lapersonne-Meyer, C. & Schott, M. Dynamics of singlet excitons in one-dimensional conjugated polydiacetylene chains: a femtosecond fluorescence study. Chem. Phys. Lett. 308, 363–368 (1999).
Dubin, F., Berréhar, J., Grousson, R., Schott, M. & Voliotis, V. Evidence of polariton induced transparency in a single organic quantum wire. Preprint at < http://arxiv.org/abs/cond-mat/0508602> 2005.
Pulizzi, F., Thijssen, W. H. A., Christianen, P. C. M. & Maan, J. C. Diffusion of two-dimensional magnetoexcitons. Physica B 298, 441–445 (2001).
Hopfield, J. J. Theory of the contribution of excitons to the complex dielectric constant of crystals. Phys. Rev. 112, 1555–1567 (1958).
Citrin, D. S. Long intrinsic radiative lifetimes of excitons in quantum wires. Phys. Rev. Lett. 69, 3393–3396 (1992) ibid Phys. Rev. Lett. 70, 1186 (1993).
Acknowledgements
This work has been supported by the Region Ile de France (SESAME N∘E. 1751).
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Dubin, F., Melet, R., Barisien, T. et al. Macroscopic coherence of a single exciton state in an organic quantum wire. Nature Phys 2, 32–35 (2006). https://doi.org/10.1038/nphys196
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DOI: https://doi.org/10.1038/nphys196


