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quant-ph2016★ 4 cited
Parametric amplification of light in a cavity with a moving dielectric membrane: Landau-Zener problem for the Maxwell field
F. Hasan, D. H. J. O'Dell
We perform a theoretical investigation into the classical and quantum dynamics of an optical field in a cavity containing a moving membrane ("membrane-in-the-middle" set-up). Our a…
quant-ph2008★ 32 cited
Atomic Bloch-Zener oscillations for sensitive force measurements in a cavity
B. Prasanna Venkatesh, M. Trupke, E. A. Hinds +1
Cold atoms in an optical lattice execute Bloch-Zener oscillations when they are accelerated. We have performed a theoretical investigation into the case when the optical lattice is…
quant-ph2000★ 16 cited
Dynamical diffraction in sinusoidal potentials: uniform approximations for Mathieu functions
Duncan H. J. O'Dell
Eigenvalues and eigenfunctions of Mathieu's equation are found in the short wavelength limit using a uniform approximation (method of comparison with a `known' equation having the…