Quantum collapses and revivals in a nonlinear Jaynes-Cummings model

Cardimona, D. A.; Kovanis, Vassilios; Sharma, M. P.; Gavrielides, A.

doi:10.1103/physreva.43.3710

Cited by 68 publications

(63 citation statements)

References 44 publications

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“…4a for a drive pulse with zero rise time is in good agreement with the analytical calculation in Eq. (24). The simulation of the transmon dynamics in the absence of decoherence was performed by solving the Schrödinger equation with the Hamiltonian given by Eqs.…”

Section: Numerical and Analytical Results On Time-dependent Vacuummentioning

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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Section: Numerical and Analytical Results On Time-dependent Vacuummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2015

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“…For smalln andm the revival times (16) seem still to hold, but secondary revivals between the above times occur, see [12].…”

Section: B Field States At the Disentanglement Timementioning

confidence: 97%

Dynamics of a Raman coupled model: Entanglement and quantum computation

Larson

Garraway

2004

Journal of Modern Optics

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The evolution of a Raman coupled three-level Λ atom with two quantized cavity modes is studied in the large detuning case; i.e. when the upper atomic level can be adiabatically eliminated. Particularly the situation when the two modes are prepared in initial coherent or squeezed states, with a large average number of photons, is investigated. It is found that the atom, after specific interaction times, disentangles from the two modes, leaving them, in certain cases, in entangled Schrödinger cat states. These disentanglement times can be controlled by adjusting the ratio between average numbers of photons in the two modes. It is also shown how this effective model may be used for implementing quantum information processing. Especially it is demonstrated how to generate various entangled states, such as EPR-and GHZ-states, and quantum logic operations, such as the control-not and the phase-gate.

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“…The Λ configuration, also called the Raman coupled model, when the intermediate level can be adiabatically eliminated was studied by Abdalla, Ahmed and Obada [19], and independently by Gerry and Eberly [20]. There have been investigations of the atomic inversion, the appearance of antibunched light, the violations of the CauchySchwartz inequality, population trapping, and squeezing [19][20][21][22][23]. Some similarities in the Rabi frequencies of both configurations for some special conditions of the parameters were reported [14], and the connection between these configurations was deeply studied in Ref.…”

Section: Introductionmentioning

confidence: 99%

Quantum dynamical properties of a two-photon non linear Jaynes-cummings model

Berlín¹,

Aliaga²

2001

Journal of Modern Optics

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In this paper we study a two-photon time-dependent Jaynes-Cummings model interacting with a Kerr-like medium. We assumed that the electromagnetic field is in different states such as coherent, squeezed vacuum and pair coherent, and that the atom is initially in the excited state. We studied the temporal evolution of the population of the excited level, and the second order coherence function. The results obtained show that this system has some similarities with the two-mode Stark system. We analize two photon entanglement for different initial conditions.

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Quantum collapses and revivals in a nonlinear Jaynes-Cummings model

Cited by 68 publications

References 44 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

Dynamics of a Raman coupled model: Entanglement and quantum computation

Quantum dynamical properties of a two-photon non linear Jaynes-cummings model

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