Abstract
A Schrödinger-like equation for an approximate description of polarization for a photon propagating in a helix has been obtained. The analytical solution is employed to study the nonadiabatic Berry's phase. A new expression for Berry's phase is given, indicating a close link between the Berry's phase and spin-alignment. Two kinds of experiments are suggested to measure the nonadiabatic Berry's phase.
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References
Berry, M.V.: Proc. R. London, A392, 45 (1984)
Chiao, R.Y., Wu, Y.S.: Phys. Rev. Lett.57, 933 (1986)
Tomita, A., Chiao, R.Y.: Phys. Rev. Lett.57, 937 (1986)
Berry, M.V.: Nature,326, 277 (1987); Proc. R. Soc. London A414, 31 (1987)
Kugler, M., Shtrikman, S.: Phys. Rev. D37, 934 (1988)
Vinskii, S.I. et al.: Sov. Phys. Usp.33, 403 (1990)
Jiao, H., Wilkinson, S.R., Chiao, R.Y., Nathel, H.: Phys. Rev. A39, 3475 (1989)
Akhiezer, A.I., Berestetskii, V.B.: Quantum electrodynamics, p. 22, New York: Interscience 1965
Simon, B.: Phys. Rev. Lett.51, 2167 (1983)
Wilczek, F., Zee, A.: Phys. Rev. Lett.52, 2111 (1984)
Aharonov, Y., Anandan, J.: Phys. Rev. Lett.58, 1593 (1987)
Samuel, J., Bhandari, R.: Phys. Rev. Lett.60, 2339 (1988)
Szymanski, Z.: Fast nuclear rotation, Oxford: Oxford University Press 1983; Bengtsson R., Frauendorf, S.: Nucl. Phys. A327, 139 (1979); Bengtsson, R., Garrett, J.D.: In: Collective Phenomena in Atomic Nuclei, p. 193. Singapore: World Scientific 1984
Wang, S.J.: Phys. Rev. A42, 5103, 5107 (1990)
In a private communication, Dr. R. Y. Chiao suggested another experiment. Inject a beam of laser with strong power into a circular waveguide tube that is suspended on a sensitive string such that even a very tiny torque can make it rotating. Since the nonadiabatic Berry's phase is related to spin-alignment, a rotation of the waveguide tube will accompany the nonadiabatic Berry's phase of the laser due to the angular momentum conservation.