Dynamics of a Raman coupled model interacting with two quantized cavity fields

Gerry, Christopher C.; Huang, Huaqing

doi:10.1103/physreva.42.6805

Cited by 176 publications

(163 citation statements)

References 36 publications

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“…In this weak drive limit, Eq. (23) implies that the population exchange between |f 0 D and |g1 D occurs with unit fidelity F = 1.…”

Section: Numerical and Analytical Results On Time-dependent Vacuummentioning

confidence: 99%

“…It is instructive to compare the tunable transmonresonator couplingg to the effective coupling g Λ = gΩe iφ /∆ between the two degenerate states of a Λ system obtained from the adiabatic elimination technique [23,25,28,39]. Most notably, the coupling strength for the transmon-resonator system is lower than that of the Λ system,g < g Λ .…”

Section: Calculating the Coupling Strengthgmentioning

confidence: 99%

“…The amplitude and phase tunability of the qubitresonator coupling strength can be achieved by a twophoton process, known as a cavity-assisted Raman process, which has been extensively studied for Λ-systems [23][24][25][26][27] and ladder-type (Ξ) systems [28]. Cavity-assisted Raman processes employ an external coherent drive with a time-dependent amplitude Ω cos (ω d t + φ) to induce an effective couplingg between the qubit and the resonator degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

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Microwave-induced amplitude- and phase-tunable qubit-resonator coupling in circuit quantum electrodynamics

et al. 2015

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In the circuit quantum electrodynamics architecture, both the resonance frequency and the coupling of superconducting qubits to microwave field modes can be controlled via external electric and magnetic fields to explore qubit -photon dynamics in a wide parameter range. Here, we experimentally demonstrate and analyze a scheme for tuning the coupling between a transmon qubit and a microwave resonator using a single coherent drive tone. We treat the transmon as a three-level system with the qubit subspace defined by the ground and the second excited states. If the drive frequency matches the difference between the resonator and the qubit frequency, a Jaynes-Cummings type interaction is induced, which is tunable both in amplitude and phase. We show that coupling strengths of about 10 MHz can be achieved in our setup, limited only by the anharmonicity of the transmon qubit. This scheme has been successfully used to generate microwave photons with controlled temporal shape [Pechal et al., Phys. Rev. X 4, 041010 (2014)] and can be directly implemented with superconducting quantum devices featuring larger anharmonicity for higher coupling strengths.

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“…In this weak drive limit, Eq. (23) implies that the population exchange between |f 0 D and |g1 D occurs with unit fidelity F = 1.…”

Section: Numerical and Analytical Results On Time-dependent Vacuummentioning

confidence: 99%

Section: Calculating the Coupling Strengthgmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Microwave-induced amplitude- and phase-tunable qubit-resonator coupling in circuit quantum electrodynamics

et al. 2015

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“…where T = λ 3 t. The expression (10) reveals that the behavior of the radiation fields is typically that of the two-mode single-atom JCM [37]. Finally, when the two atoms are initially in the Bell …”

Section: Model Formalism and Its Wavefunctionmentioning

confidence: 99%

A linear atomic quantum coupler

El-Orany¹,

B²

2010

J. Phys. B: At. Mol. Opt. Phys.

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In this paper, we develop the notion of the linear atomic quantum coupler. This device consists of two modes propagating into two waveguides, each of them includes a localized and/or a trapped atom. These waveguides are placed close enough to allow exchanging energy between them via evanescent waves. Each mode interacts with the atom in the same waveguide in the standard way, i.e. as the Jaynes-Cummings model (JCM), and with the atom-mode in the second waveguide via evanescent wave. We present the Hamiltonian for the system and deduce the exact form for the wavefunction. We investigate the atomic inversions and the second-order correlation function. In contrast to the conventional linear coupler, the atomic quantum coupler is able to generate nonclassical effects. The atomic inversions can exhibit long revival-collapse phenomenon as well as subsidiary revivals based on the competition among the switching mechanisms in the system. Finally, under certain conditions, the system can yield the results of the two-mode JCM.

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“…The simplest model of three bounded oscillators is considered [5][6][7].At the same time, strong quanused for the description of the process under conturn fluctuations of energy have been observed exsideration [13]. Using the representation of the perimentally [8,9].…”

mentioning

confidence: 99%

Relation between quantum statistics of phonons and scattered light

Shumovsky

Tanatar

1993

Physics Letters A

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The resonance model ofthe Raman process with the generation ofa Stokes component is solved exactly. The asymptotic behavior ofthe solution is discussed. Mandel's Q-factor is calculated as a function oftime both for the Stokes and the Rayleigh components fortheir dependence on the quantum statistical properties of the vibration mode (phonons). A qualitative difference between the cases of uncorrelated and correlated phonons is found whichmay have interesting experimentalimplications.

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Dynamics of a Raman coupled model interacting with two quantized cavity fields

Cited by 176 publications

References 36 publications

Microwave-induced amplitude- and phase-tunable qubit-resonator coupling in circuit quantum electrodynamics

Microwave-induced amplitude- and phase-tunable qubit-resonator coupling in circuit quantum electrodynamics

A linear atomic quantum coupler

Relation between quantum statistics of phonons and scattered light

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