Theory of Phonon Dressed Light-Matter Interactions and Resonance Fluorescence in Quantum Dot Cavity Systems

Roy-Choudhury, Kaushik; Hughes, Stephen

doi:10.1007/978-3-319-56378-7_2

Cited by 2 publications

(1 citation statement)

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“…the Markovian Lindblad master equation 47,52,53 . In addition to being affected by bath induced dissipation, the operation of QED devices can benefit from interactions with their surroundings [52][53][54][55][56][57][58][59][60][61][62][63][64] . For instance, Hohenester et al observed phonon-assisted transition from quantum dot (QD) excitons to photons in nanocavity 54 .…”

Section: Introductionmentioning

confidence: 99%

Engineering Photon Delocalization in a Rabi Dimer with a Dissipative Bath

et al. 2018

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A Rabi dimer is used to model a recently reported circuit quantum electrodynamics system composed of two coupled transmission-line resonators with each being coupled to one qubit. In this study, a phonon bath is adopted to mimic the multimode micromechanical resonators and is coupled to the qubits in the Rabi dimer. The dynamical behavior of the composite system is studied by the Dirac-Frenkel time-dependent variational principle combined with the multiple Davydov D 2 ansätze. Initially, all the photons are pumped into the left resonator, and the two qubits are in the down state coupled with the phonon vacuum. In the strong qubit-photon coupling regime, the photon dynamics can be engineered by tuning the qubit-bath coupling strength α and photon delocalization is achieved by increasing α. In the absence of dissipation, photons are localized in the initial resonator. Nevertheless, with moderate qubit-bath coupling, photons are delocalized with quasiequilibration of the photon population in two resonators at long times. In this case, high-frequency bath modes are activated by interacting with depolarized qubits. For strong dissipation, photon delocalization is achieved via frequent photon-hopping within two resonators and the qubits are suppressed in their initial down state.circuit QED architectures have been designed and fabricated as research platforms in quantum computation [2,[6][7][8][9][10][11][12] and quantum information. [13][14][15][16] Due to high flexibility and tunability, circuit QED devices offer the possibility to simulate light-matter interactions in quantum systems with an integrated circuit. [1,10,12,17,18] Experiments focus on engineering the coupling between a single resonator and a qubit for controllable single-resonator systems. [19][20][21] A key challenge is to carry out quantum simulations of strongly correlated photons of coupled-resonator systems by controlling the inter-resonator photon coupling and device-environment interactions. [22,23] It gives rise to an interesting phenomenon of photon self-trapping due to the competition between the qubit-photon coupling and the inter-resonator photon hopping, which has been realized in experiment using transmon qubits and two coupled transmission-line resonators. [24] Another QED system composed of two coupled nonlinear resonators has been fabricated for quantum amplification. [25] Described as a Bose-Hubbard dimer, this device can also be used for photon generation. [26][27][28][29][30] Recent theoretical studies model the tunnel-coupled resonators each containing a qubit as a Jaynes-Cumming (JC) dimer, which is the smallest possible coupled-resonator system. [3,4,24,31,32] The JC Hamiltonian describes a QED system with weak qubit-photon coupling, which omits the counterrotating-wave (CRW) interactions between the qubit and the photon mode. [33] Experimental progress has made it possible to achieve ultra-strong coupling, [1,[34][35][36][37] where the qubit-photon coupling strength is comparable to the resonator frequency. In this regime, the JC...

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