Coherent control of long-distance steady state entanglement in lossy resonator arrays

K. -J. Boller, A. Imamoglu, and S. E. Harris, Phys. Rev. Lett., 66

1991

Earlier work this paper cites.

M. O. Scully and M. S. Zubairy, Quantum Optics , Cambridge University Press, 1997

1997

Earlier work this paper cites.

W. K. Wootters, Phys. Rev. Lett. 80

1998

Earlier work this paper cites.

A. G. White, D. F. V. James, W. J. Munro, and P. G. Kwiat, Phys. Rev. A 65, 012301 (2001)

2001

Earlier work this paper cites.

D.G. Angelakis, et al

2007

Cited alongside, same era.

J. P. Reithmaier, et al. , Nature , 432, 197 (2004); H. Altug and J. Vuckovic, App. Phys. Lett. 84

2007

Cited alongside, same era.

Takao Aoki, et al. , Nature , 443, 671 (2006); Trupke M. et al. , Phys. Rev. Lett., 99

2007

Cited alongside, same era.

D.G. Angelakis, M.F. Santos and S. Bose, Phys. Rev. A, 76

Original

2008

Cited alongside, same era.

There are several ways to form polaritons through atom-photon interactions. For instance, a two-level atom interacting with cavity photons can exihibit nonlinear energy spectrum and in the photon-blockade regime, only the lowest two levels needs to be considered which form the two levels for excitations of poaritons. The ground state of the polariton is | g , 0 ⟩ |g,0\rangle and the excited state is the lowest dressed state ( | e , 0 ⟩ − | g , 1 ⟩ / ) 2 (|e,0\rangle-|g,1\rangle/)\sqrt{2} . These two states on resonance are separated by ω p ​ o ​ l = ω 0 − g \omega_{pol}=\omega_{0}-g with ω 0 \omega_{0} the frequency of the uncoupled atomic levels/photon and g g the atom-photon coupling strength. There can also be alternatives involving 4-level atoms in each cavity interacting with the photon through the usual Jaynes-Cummings interaction. See also Ref. [ 11 , 12 ] . In the above regime if one calculates the commutator between the polaritons, a mixed relation will be found which only in the limit of large detunings and/or small couplings leads to bosonic one. This is the limit where the polaritons are mostly comprised of photons

Cited in the paper.

Here, we assume weak pumps: α i ≤ J i ≪ κ \alpha_{i}\leq J_{i}\ll\kappa . The method for tracing out the degree of freedom of waveguide modes is similar to the one in Ref. [ 3 ]

Cited in the paper.

M. B. Plenio and S.F. Huelga Phys. Rev. Lett. 88

2008

Later among the works it cites.

D. G. Angelakis, S. Bose and S. Mancini, Eur. Phys. Lett., 85 (2009) 20007

2009

Closest in time.

Dario Gerace. et al ., Nat. Phys., 5

Original

2009

Closest in time.