7, Cavity Quantum ElectroDynamics (Cavity-QED) 1. Cavity Modes 2 ...

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Purcell effect: Cavity-QED (Quantum ElectroDynamics) E. M. Purcell, Phys. Rev. 69 (1946). Nobel laureate Edward Mills Purcell (shared the prize with Felix Bloch) in 1952, for their contribution to nuclear magnetic precision measurements. from: K. J. Vahala, Nature 424, 839 (2003). IPT5340, Fall ’06 – p.2/23
Field damping by field reservoirs consider a single-mode field in a cavity with a finite leakage rate, assume the reservoir density operator is a multimode thermal field, ˆρR = k n exp(− ωkn kBT ) 1 − exp(− ω |n〉kk〈n|, kn ) kBT the equation of motion for the reduced density operator TrR[ˆρ(t)] ≡ ˆρf(t) is, d dt ˆρf(t) = ( 1 i )2 t = − t t0 0 ′ dt dt ′ TrR([ ˆ HI(t),[ ˆ HI(t ′ ), ˆρf(t) ⊗ ˆρR(0)]]), k g 2 k {nth[ââ † ˆρf(t ′ ) − â † ˆρf(t ′ )â]e −i(ω−ω k)(t−t ′ ) +(nth + 1)[â † âˆρf(t ′ ) − âˆρf(t ′ )â † ])e i(ω−ω k)(t−t ′ ) } + H. C, IPT5340, Fall ’06 – p.3/23
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Page 5 and 6: Field damping by field reservoirs t
Page 7 and 8: Cavity modes consider a single cavi
Page 9 and 10: Input-output theory the system oper
Page 11 and 12: d dt Input-output theory the system
Page 13 and 14: for a linear system where a(t) = d
Page 15 and 16: Linear system for example, consider
Page 17 and 18: Two-time correlation function two b
Page 19 and 20: Two-time correlation function let
Page 21 and 22: Quantum State Transfer as a Quantum
Page 23: Quantum State Transfer as a Quantum

7, Cavity Quantum ElectroDynamics (Cavity-QED) 1. Cavity Modes 2 ...

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