Abstract
In this paper, the authors present the results of their study on the scheme of reconstructing the atomic wave function by using a standing wave laser beam. The scheme effectively avoids the initial random phase problem of the running light wave of lasers. The paper presents the relation between measured data and the atomic wave function, whose reconstruction procedure is also analyzed.
References
Bardroff, P. J., Leichtle, C. and Schrade, G., et al., 1996. Endoscopy in the paul trap: measurement of the vibratory quantum state of a single ion.Phys. Rev. Lett.,77: 2198–2201.
Bardroff, P. J., Mayr, E. and Schleich, W. P., 1995. Quantum state endoscopy: measurement of the quantum state in a cavity.Phys. Rev. A,51: 4963–4966.
Bardroff, P. J., Mayr, E. and Schleich, W. P., et al., 1996. Simulation of quantum-state endoscopy.Phys. Rev. A,53: 2736–2741.
D’Ariano, G. M., Leonhardt, U. and Paul, H., 1995. Homodyne detection of the density matrix of the radiation field.Phys. Rev. A,52: 1801–1804.
Dunn, T. J., Sweetser, J. N. and Walmsley, I. A., et al., 1993. Experimental determination of the dynamics of a molecular nuclear wave packet via the spectra of spontaneous emission.Phys. Rev. Lett.,70: 3388–3391.
Freyberger, M., Kienle, S. H. and Yakovlev, V. P., 1997. Interferometric measurement of an atomic wave function.Phys. Rev. A,56: 195–201.
Herkommer, A. M., Akulin, V. M. and Schleich, W. P., 1992. Quantum demolition measurement of photon statistics by atomic beam deflection.Phys. Rev. Lett.,69: 3298–3301.
Jones, K. R. W., 1994. Fundamental limits upon the measurement of state vectors.Phys. Rev. A,50: 3682–3699.
Leibried, D., Meekhof, D. M. and King, B. E. et al., 1996. Experimental determination of the motional quantum state of a trapped atom.Phys. Rev. Lett.,77: 4281–4285.
Liu, Z. D., Zhu, S. Y. and Lin, Y., 2000. A Scheme of Interferometric Measurement of an Atomic Wave Function.Chin. Phys. Lett.,17(3): 165–167.
Raymer, M. G., Beck, M. and McAlister, D. F., 1994. Complex wave-field reconstruction using phase-space tomography.Phys. Rev. Lett.,72: 1137–1140.
Vogel, K. and Risken, H., 1989. Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase.Phys. Rev. A,40: 2847–2849.
Weigert, S., 1996. How to determine a quantum state by measurements: the pauli problem for a particle with arbitrary potential.Phys. Rev. A,53: 2078–2083.
Author information
Authors and Affiliations
Additional information
Project supported by NSFC, Zhejiang Province Natural Science Foundation, and Gao Guangbiao Key Foundation of Zhejiang University.
Rights and permissions
About this article
Cite this article
Zheng-dong, L., Liang, Z., Yu, L. et al. Interferometric measurement of an atomic wave function by using a standing wave method. J. Zhejiang Univ. Sci. A 1, 275–280 (2000). https://doi.org/10.1631/BF02910636
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1631/BF02910636