Quantum optical master equation for solid-state quantum emitters

We present a closed-form analytical solution to the eigenvalue problem of the Liouville operator generating the dissipative dynamics of the standard optomechanical system. The corresponding Lindblad master equation describes the dynamics of a single-mode field inside an optical cavity coupled by radiation pressure to its moving mirror. The optical field and the mirror are in contact with separate environments, which are assumed at zero and finite temperature, respectively. The optomechanical damping basis refers to the exact set of eigenvectors of the generator that, together with the exact eigenvalues, are explicitly derived. Both the weak-and the strong-coupling regime, which includes combined decay mechanisms, are solved in this work.

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“…[11] for the treatment of an atom-field system in quantum optics. However, applications and extensions have not gone much further since [25,18].…”

Section: Introductionmentioning

confidence: 99%

Optomechanical damping basis

Torres¹,

Betzholz

Bienert³

2019

J. Phys. A: Math. Theor.

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“…(2) and the relation γ c (t) = γ(t) implies that the previous discussion about the negative behavior of γ(t) in Figure 2 stands as a proof of NM for the orbital states of the SiV − center-similar conclusions are obtained for the NV − center. This result is the first evidence that the phononic contribution induces NM behavior in color centers in diamond, commonly modeled as purely Markovian [21,44,45].…”

Section: Non-markovianity In Color Centers and Thermal Effectsmentioning

confidence: 56%

Quantifying phonon-induced non-Markovianity in color centers in diamond

et al. 2020

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We propose the application of a coherence-based measure for non-Markovianity to study the dynamics of color centers in diamond, where the optical coherence between two orbital states is affected by interactions with a structured phonon bath. Although limited to pure dephasing, we show that this measure is well-behaved at arbitrary temperatures and experimentally accessible through Ramsey spectroscopy. By taking realistic phonon spectral density functions into account, we use this quantity to show how non-Markovianity is affected by the presence of both bulk and quasi-localized phonon modes, as relevant for most defects in solids. Importantly, with only a minor modification the measure can be adapted to study the source of non-Markovianity in driven two-level systems and is thus applicable for a large class of systems modeled by the spin-boson Hamiltonian.

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“…A similar type of optical master equation has been suggested to describe the properties of defect centers in crystalline structures [22]. The eigenvectors ofV A =σ z are |0 A and |1 A and therefore we can construct the eigenvectors of the superoperator C Aρ = [σ z ,ρ]:…”

Section: B a Spin System Interacting With A Harmonic Oscillatormentioning

confidence: 99%

Partly invariant steady state of two interacting open quantum systems

Bernád

Torres

2015

Phys. Rev. A

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We investigate two interacting open quantum systems whose time evolutions are governed by Markovian master equations. We show a class of coupled systems whose interaction leaves invariant the steady state of one of the systems, i.e., only one of the reduced steady states is sensitive to the interactions. A detailed proof with the help of the Trotter product formula is presented. We apply this general statement to a few models, one of which is the optomechanical coupling model where an optical cavity is coupled to a small mechanical oscillator.Comment: 15 pages, 4 figure

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Quantum optical master equation for solid-state quantum emitters

Cited by 25 publications

References 44 publications

Optomechanical damping basis

Optomechanical damping basis

Quantifying phonon-induced non-Markovianity in color centers in diamond

Partly invariant steady state of two interacting open quantum systems

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