Cavity quantum electrodynamics

Cavity quantum electrodynamics

Cavity quantum electrodynamics (cavity QED) is the study of the interaction between light confined in a reflective cavity and atoms or other particles, under conditions where the quantum nature of light photons is significant. It could in principle be used to construct a quantum computer.

The case of a single 2-level atom in the cavity is mathematically described by the Jaynes-Cummings model, and undergoes vacuum Rabi oscillations |e angle|n-1 angleleftrightarrow|g angle|n angle, that is between an excited atom and n-1 photons, and a ground state atom and n photons.

If the cavity is on resonance with the atomic transition, a half-cycle of oscillation starting with no photons coherently swaps the atom qubit's state onto the cavity field's, (alpha|g angle+eta|e angle)|0 angleleftrightarrow|g angle(alpha|0 angle+eta|1 angle), and can be repeated to swap it back again; this could be used as a single photon source (starting with an excited atom), or as an interface between an atom or trapped ion quantum computer and optical quantum communication.

Other interaction durations create entanglement between the atom and cavity field; for example, a quarter-cycle on resonance starting from |e angle|0 angle gives the maximally entangled state (|e angle|0 angle+|g angle|1 angle)/sqrt{2}. This can in principle be used as a quantum computer, mathematically equivalent to a trapped ion quantum computer with cavity photons replacing phonons.

References

cite journal | author=Herbert Walther, Benjamin T H Varcoe, Berthold-Georg Englert and Thomas Becker| authorlink= | title=Cavity quantum electrodynamics| journal=Rep. Prog. Phys.| year=2006| volume=69 | pages=1325–1382 |url=http://www.iop.org/EJ/abstract/0034-4885/69/5/R02/|doi=10.1088/0034-4885/69/5/R02 Microwave wavelengths, atoms passing through cavity

cite journal | author=R Miller, T E Northup, K M Birnbaum, A Boca, A D Boozer and H J Kimble| authorlink= | title=Trapped atoms in cavity QED: coupling quantized light and matter| journal=J. Phys. B: At. Mol. Opt. Phys.| year=2005| volume=38 | pages=S551–S565 |url=http://www.iop.org/EJ/abstract/0953-4075/38/9/007/|doi=10.1088/0953-4075/38/9/007 Optical wavelengths, atoms trapped


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