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In-reservoir coherent control oftheatom-photon boundstate.

Dmitri S. Mogilevtsev, S. Ya. Kilin, Solange Bessa Cavalcanti, M. Hickmann, F. Skarina

Published Jan 1, 2005• 0 citations

Abstract

Wepresent thecollective operator masterequation forbosonic reservoirs withgapsinthedensity ofphotonic states. Weshowthat theatomphotonboundstate canbeproduced andcontrolled bythein-reservoir 'Freezing' ofaspontaneous decay andatom-photon boundstate (APBS)are amongthemoststriking phenomena ofthereservoir structure influencing the dynamics ofaradiating atom.Whenthetransition frequency oftheexcited atomisinside agapinthereservoir density ofstates, thenthespontaneous emission canbecompletely inhibited. Whenthetransition frequency isinthe vicinity ofthegapedge back-action ofthereservoir canleadtoestablishing a persistent entanglement oftheatomwithmodesofthereservoir. Inourwork wesuggest forthecoherently controlled single-atom memorycell atwo-level atomwiththetransition frequency inside thegapandclose tothegapedge. To achieve acontrol inourscheme itisnotnecessary tomakeabandofallowed states inside thegap.TheAPBScanbeextensively controlled viaavailable reservoir modesofunspoiled photonic crystal (PC). Forthedescription ofourscheme weusetheHamiltonian Hgen = Hou+ Hres, whereHout describes aninteraction ofatwo-level atomwiththeclassical field ofthefrequency wo+AO>Wq,wherewoisthefrequency oftheatomic transition andw_isfrequency ofthegapedge.Inthebasis oscillating with wo:H,ut = Q2+exp(-iAot) +h.c., whereQstands fortherespective coupling strength ofthedriving field. Hresisastandard Hamiltonian describing an interaction oftwo-level atomwithan leofreser s

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Wepresent thecollective operator masterequation forbosonic reservoirs withgapsinthedensity ofphotonic states. Weshowthat theatomphotonboundstate canbeproduced andcontrolled bythein-reservoir 'Freezing' ofaspontaneous decay andatom-photon boundstate (APBS)are amongthemoststriking phenomena ofthereservoir structure influencing the dynamics ofaradiating atom.Whenthetransition frequency oftheexcited atomisinside agapinthereservoir density ofstates, thenthespontaneous emission canbecompletely inhibited. Whenthetransition frequency isinthe vicinity ofthegapedge back-action ofthereservoir canleadtoestablishing a persistent entanglement oftheatomwithmodesofthereservoir. Inourwork wesuggest forthecoherently controlled single-atom memorycell atwo-level atomwiththetransition frequency inside thegapandclose tothegapedge. To achieve acontrol inourscheme itisnotnecessary tomakeabandofallowed states inside thegap.TheAPBScanbeextensively controlled viaavailable reservoir modesofunspoiled photonic crystal (PC). Forthedescription ofourscheme weusetheHamiltonian Hgen = Hou+ Hres, whereHout describes aninteraction ofatwo-level atomwiththeclassical field ofthefrequency wo+AO>Wq,wherewoisthefrequency oftheatomic transition andw_isfrequency ofthegapedge.Inthebasis oscillating with wo:H,ut = Q2+exp(-iAot) +h.c., whereQstands fortherespective coupling strength ofthedriving field. Hresisastandard Hamiltonian describing an interaction oftwo-level atomwithan leofreser s

The spontaneous emission spectrum of a three-level $\ensuremath{\Lambda}$-type atom driven by a microwave field was studied. For the two transitions coupled to the same modified reservoir, we discussed the influence of photonic band gap and Rabi frequency of the microwave field on the emission spectrum. The emission spectrum is given for different locations of the upper band-edge frequency. With the transition frequencies moving from outside the band gap to inside, the number of peaks decreases in the emission spectrum and the multipeak structure of spectral line is finally replaced by a strong non-Lorentzian shape. With increase of the Rabi frequency of the microwave field, we find the spectral line changes from a multipeak structure to a two-peak structure, originating from the inhibition of spontaneous emission for the corresponding decay channel.

We demonstrate how a time-dependent dissipative environment may be used as a tool for controlling the quantum state of a two-level atom. In our model system the frequency and coupling strength associated with microscopic reservoir modes are modulated, while the principal features of the reservoir structure remain fixed in time. Physically, this may be achieved by containing a static atom-cavity system inside an oscillating external bath. We show that it is possible to dynamically decouple the atom from its environment, despite the fact that the two remain resonant at all times. This can lead to Markovian dynamics, even for a strong atom-bath coupling, as the atomic decay becomes inhibited into all but a few channels; the reservoir occupation spectrum consequently acquires a sideband structure, with peaks separated by the frequency of the environmental modulation. The reduction in the rate of spontaneous emission using this approach can be significantly greater than could be achieved with an oscillatory atom-bath detuning using the same parameters.