Microscopic derivation of the Jaynes-Cummings model with cavity losses

Scala, M.; Militello, Benedetto; Messina, A.; Piilo, Jyrki; Maniscalco, Sabrina

doi:10.1103/physreva.75.013811

Cited by 129 publications

(193 citation statements)

References 19 publications

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“…This surprising result is obtained by applying a recently proposed measure of non-Markovianity [20,21] to two quite commonly used non-local master equations: The generalized memory kernel master equation discussed by one of us [7] and the post-Markovian Shabani-Lidar master equation [10], both used to study the time-evolution of a spin 1/2 in a thermal bath. Our results are connected to the issue of phenomenological vs. microscopically derived master equations in quantum optics which do not always produce coinciding results in all of the relevant parameter regimes [24]. Here we show that there can be also qualitative differences in addition to the quantitative ones when the two approaches are used.…”

Section: Introductionmentioning

confidence: 71%

Phenomenological memory-kernel master equations and time-dependent Markovian processes

et al. 2010

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Do phenomenological master equations with memory kernel always describe a non-Markovian quantum dynamics characterized by reverse flow of information? Is the integration over the past states of the system an unmistakable signature of non-Markovianity? We show by a counterexample that this is not always the case. We consider two commonly used phenomenological integrodifferential master equations describing the dynamics of a spin 1/2 in a thermal bath. By using a recently introduced measure to quantify non-Markovianity [H.-P. Breuer, E.-M. Laine, and J. Piilo, Phys. Rev. Lett. 103, 210401 (2009)] we demonstrate that as far as the equations retain their physical sense, the key feature of non-Markovian behavior does not appear in the considered memory kernel master equations. Namely, there is no reverse flow of information from the environment to the open system. Therefore, the assumption that the integration over a memory kernel always leads to a non-Markovian dynamics turns out to be vulnerable to phenomenological approximations. Instead, the considered phenomenological equations are able to describe time-dependent and uni-directional information flow from the system to the reservoir associated to time-dependent Markovian processes.

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Section: Introductionmentioning

confidence: 71%

Phenomenological memory-kernel master equations and time-dependent Markovian processes

et al. 2010

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“…Such term always appears if one wishes to preserve the form of the von Neumann equation in a time-dependent unitary transformation. After the transformation, the derivation of the master equation proceeds in a conventional manner [50][51][52] : We assume that the initial state of the total system is uncorrelated, i.e.,ρð0Þ 1 ρ S ð0Þ ρ E ð0Þ, and that the bath is in a thermal state, described byρ E ð0Þ, throughout the temporal evolution. We consider only weak coupling to the environment and apply the standard Born and Markov approximations in the interaction picture, and subsequently trace over the environmental degrees of freedom.…”

Section: Protocolmentioning

confidence: 99%

Efficient protocol for qubit initialization with a tunable environment

et al. 2017

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We propose an efficient qubit initialization protocol based on a dissipative environment that can be dynamically adjusted. Here, the qubit is coupled to a thermal bath through a tunable harmonic oscillator. On-demand initialization is achieved by sweeping the oscillator rapidly into resonance with the qubit. This resonant coupling with the engineered environment induces fast relaxation to the ground state of the system, and a consecutive rapid sweep back to off resonance guarantees weak excess dissipation during quantum computations. We solve the corresponding quantum dynamics using a Markovian master equation for the reduced density operator of the qubit-bath system. This allows us to optimize the parameters and the initialization protocol for the qubit. Our analytical calculations show that the ground-state occupation of our system is well protected during the fast sweeps of the environmental coupling and, consequently, we obtain an estimate for the duration of our protocol by solving the transition rates between the low-energy eigenstates with the Jacobian diagonalization method. Our results suggest that the current experimental state of the art for the initialization speed of superconducting qubits at a given fidelity can be considerably improved.

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“…A second source of dissipation corresponds to the spontaneous emission of photons by the atom, however this kind of loss we consider small and neglect in the model. Following the common procedures [18,19], one obtains the MME for the system's reduced density operator ρ(t)…”

Section: Modelmentioning

confidence: 99%

“…The values of the coupling constants and the atom-cavity detuning will be varied in order to search the optimal result. We must mention here that to satisfy the RWA we should have 2g ≫ γ max (ω) [18]. Satisfying this condition we start with the case g 1 = g 2 ≡ g = ν = 5γ, considering all the reservoirs at the same temperature, T , and study how the atomic entanglement evolves as a function of the atom-cavity detuning, ∆.…”

Section: Measuring the Quantum Correlations A Entanglementmentioning

confidence: 99%

Thermally generated long-lived quantum correlations for two atoms trapped in fiber-coupled cavities

2012

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A theoretical model for driving a two qubit system to a stable long-lived entanglement is discussed. The entire system is represented by two atoms, initially in ground states and disentangled, each one coupled to a separate cavity with the cavities connected by a fiber. The cavities and fiber exchange energy with their individual thermal environments. Under these conditions, we apply the theory of microscopic master equation developed for the dynamics of the open quantum system. Deriving the density operator of the two-qubit system we found that stable long-lived quantum correlations are generated in the presence of thermal excitation of the environments. To the best of our knowledge, there is no a similar effect observed in a quantum open system described by a generalized microscopic master equation in the approximation of the cavity quantum electrodynamics.

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Microscopic derivation of the Jaynes-Cummings model with cavity losses

Cited by 129 publications

References 19 publications

Phenomenological memory-kernel master equations and time-dependent Markovian processes

Phenomenological memory-kernel master equations and time-dependent Markovian processes

Efficient protocol for qubit initialization with a tunable environment

Thermally generated long-lived quantum correlations for two atoms trapped in fiber-coupled cavities

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