Decoherence in a system of strongly coupled quantum oscillators. I. Symmetric network

Ponte, M. A. de; Oliveira, M. C. de; Moussa, M. H. Y.

doi:10.1103/physreva.70.022324

Cited by 30 publications

(70 citation statements)

References 38 publications

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“…The coupling between the system and the bath modes can be described by the 4), respectively. Under the Born-Markov approximation, the master equation for the reduced density matrix ρ I (t) of the optomechanical system in the interaction picture can be derived as [31][32][33][34] …”

Section: Discussionmentioning

confidence: 99%

“…Under this assumption, each system mode is only affected by their corresponding bath modes. However, in the single-photon strong or ultrastrong coupling regime, photons in the eigenstates are strongly dressed by phonon excitations of the mechanical mode, and this assumption is not valid anymore [31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

“…In our method, we decompose the system operators in terms of the eigenstates (dressed states) of the optomechanical system and derive the master equation under this decomposition. This approach was previously used to study strongly-coupled harmonic oscillators with linear coupling [32,33] and a mechanical resonator coupled to a two-level-system defect [34]. Our master equation contains photon-number-dependent terms in the form of…”

Section: Introductionmentioning

confidence: 99%

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Quantum coherence in ultrastrong optomechanics

et al. 2015

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Ultrastrong light-matter interaction in an optomechanical system can result in nonlinear optical effects such as photon blockade. The system-bath couplings in such systems play an essential role in observing these effects. Here we study the quantum coherence of an optomechanical system with a dressed-state master equation approach. Our master equation includes photon-number-dependent terms that induce dephasing in this system. Cavity dephasing, second-order photon correlation, and two-cavity entanglement are studied with the dressed-state master equation.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum coherence in ultrastrong optomechanics

et al. 2015

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“…Beyond the entanglement dynamics which is a crucial but recurrent ingredient of any network, the collective damping effects coming from two-atom systems [21] can be directly identified with those in a network of dissipative oscillators [16,18,19,20]. Such collective damping effect are certainly in the basis of the nonadditivity of decoherence rates observed in the network of dissipative oscillators [16,18,19,20] as well as in superconducting qubits [22].…”

Section: Introductionmentioning

confidence: 96%

“…[18,19] the authors present a detailed treatment of the coherence and decoherence dynamics in arrays of coupled dissipative resonators. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Storing quantum states in bosonic dissipative networks

Ponte

Mizrahi

Moussa

2008

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

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In this work we present a general treatment of a bosonic dissipative network: a chain of coupled dissipative harmonic oscillators whichever its topology, i.e., whichever the way the oscillators are coupled together, the strenght of their couplings and their natural frequencies. Starting with a general more realistic scenario where each oscillator is coupled to its own reservoir, we also discuss the case where all the network oscillators are coupled to a common reservoir. We obtain the master equation governing the dynamic of the network states and the associated evolution equation of the Glauber-Sudarshan P -function. With these instruments we breafly show how to analyse the decoherence and the evolution of the linear entropy of general states of the network. We also show how to obtain the master equation for the case of distinct reservoirs from that of a common one.

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Decoherence in strongly coupled quantum oscillators

Ponte¹,

Oliveira²,

Moussa³

2005

Annals of Physics

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In this paper we present a comprehensive analysis of the coherence phenomenon of two coupled dissipative oscillators. The action of a classical driving field on one of the oscillators is also analyzed. Master equations are derived for both regimes of weakly and strongly interacting oscillators from which interesting results arise concerning the coherence properties of the joint and the reduced system states. The strong coupling regime is required to achieve a large frequency shift of the oscillator normal modes, making it possible to explore the whole profile of the spectral density of the reservoirs. We show how the decoherence process may be controlled by shifting the normal mode frequencies to regions of small spectral density of the reservoirs. Different spectral densities of the reservoirs are considered and their effects on the decoherence process are analyzed. For oscillators with different damping rates, we show that the worse-quality system is improved and vice-versa, a result which could be useful for quantum state protection. State recurrence and swap dynamics are analyzed as well as their roles in delaying the decoherence process.

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Decoherence in a system of strongly coupled quantum oscillators. I. Symmetric network

Cited by 30 publications

References 38 publications

Quantum coherence in ultrastrong optomechanics

Quantum coherence in ultrastrong optomechanics

Storing quantum states in bosonic dissipative networks

Decoherence in strongly coupled quantum oscillators

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