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Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 5198884567, ext. 32700
Fax: 5197464319
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MC6334A
Richard Lopp  Applied Math, University of Waterloo
Lightmatter interactions without breaking Lorentz covariance
In investigating lightmatter systems, i.e. the interaction between the electromagnetic field and atoms, approximations are often performed in the literature that break the Lorentz covariance of the model. These include the rotatingwave approximation, the single or fewmode approximation, and dimensional reduction of the original spacetime to an effective lower dimensional one. Often, these approximations require more justification than is usually given, especially when studying relativistic effects.
In particular, relating to previous research, we studied how quantum randomness generation based on unbiased measurements on a hydrogenlike atom can get compromised by the unavoidable coupling of the atom with the electromagnetic field. In contradistinction to intuition derived from quantum optical approximations, we show that preparing the atom in the ground state in the presence of no field excitations is not universally the safest state to generate randomness.
Moreover, we studied the signature of detectors (such as atoms) accelerating through an optical cavity. We found that the singlemode approximation and dimensional reduction suffer from nonnegligible deviations from the true results already in the weak coupling limit. This is of particular interest as recent experimental proposals suggested detecting the Unruh effect in a cavity where one is required to work in relativistic regimes.
Further research will focus on the fully Lorentz covariant description of dynamical CasimirPolder forces and quantum friction on atoms moving on arbitrary trajectories and considering realistic lightmatter interactions.
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Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 5198884567, ext. 32700
Fax: 5197464319
PDF files require Adobe Acrobat Reader
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