Generalized master equation for a two-level atom in a strong field and tailored reservoirs

Kowalewska-Kudłaszyk, A.; Tanaś, R.

doi:10.1080/09500340108232462

Cited by 37 publications

(42 citation statements)

References 25 publications

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“…Somewhat similar techniques (i.e., bath sampling at the dressed resonances) have been employed to study atomic dynamics in generalized (engineered) photon reservoirs, including photonic-band gap materials [51] and squeezed reservoirs [52].…”

Section: General Theory and Polaron Master Equation Modelmentioning

confidence: 99%

Influence of Electron–Acoustic-Phonon Scattering on Intensity Power Broadening in a Coherently Driven Quantum-Dot–Cavity System

2011

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We present a quantum optics formalism to study the intensity power broadening of a semiconductor quantum dot interacting with an acoustic-phonon bath and a high-Q microcavity. Power broadening is investigated using a time-convolutionless master equation in the polaron frame, which allows for a nonperturbative treatment of the interaction of the quantum dot with the phonon reservoir. We calculate the full non-Lorentzian photoluminescence (PL) line shapes and numerically extract the intensity linewidths of the quantum-dot exciton and the cavity mode as a function of the pump rate and temperature. For increasing field strengths, multiphonon and multiphoton effects are found to be important, even for phonon-bath temperatures as low as 4 K. We show that the interaction of the quantum dot with the phonon reservoir introduces pronounced features in the power-broadened PL line shape, enabling one to observe clear signatures of electron-phonon scattering. The PL line shapes from cavity pumping and exciton pumping are found to be distinctly different, primarily since the latter is excited through the excitonphonon reservoir. To help explain the underlying physics of phonon scattering on the power-broadened line shape, an effective phonon Lindblad master equation derived from the full time-convolutionless master equation is introduced; we identify and calculate distinct Lindblad scattering contributions from electron-phonon interactions, including effects such as excitation-induced dephasing, incoherent exciton excitation, and exciton-cavity feeding. Our effective phonon master equation is shown to reproduce the full PL intensity and the phonon-coupling effects very well, suggesting that its general Lindblad form may find widespread use in semiconductor cavity-QED.

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Section: General Theory and Polaron Master Equation Modelmentioning

confidence: 99%

Influence of Electron–Acoustic-Phonon Scattering on Intensity Power Broadening in a Coherently Driven Quantum-Dot–Cavity System

2011

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“…In the absence of the external light, spontaneous emission of an excited two-level atom results due to the fluctuations in a continuum of vacuum modes that play a role of a reservoir. However, when the vacuum modes are replaced with, let us say, a squeezed vacuum reservoir, the radiative properties of the atom are significantly modified [1,2,3,4,5,6,7,8]. In this respect, the resonance fluorescence and absorption spectra of a driven two-level atom coupled to a squeezed vacuum reservoir have been analyzed by various authors [1,2].…”

Section: Introductionmentioning

confidence: 99%

“…Interaction of a single two-level atom with a radiation has received a great deal of interest in recent years [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19]. In the absence of the external light, spontaneous emission of an excited two-level atom results due to the fluctuations in a continuum of vacuum modes that play a role of a reservoir.…”

Section: Introductionmentioning

confidence: 99%

“…In accordance to this, throughout, the results previously obtained for squeezed input elsewhere [1] are compared with the effects of the thermal fluctuations so that which of the fluctuations in the reservoir modes would actually be essential in bringing about a significant modification in a radiative and squeezing properties ie evident. Though methods from the stochastic simulation of the Bloch equations in secular approximation [11,12] to diagonalizing the coefficient matrix [6,7,10] have been used in previous contributions, the differential equations associated with the expectation values of the atomic and energy operators following from the master equation would be simultaneously solved in view of the procedure recently applied. It is believed that this approach helps in overcoming the inevitable limitations corresponding to the approximations and computer simulation frequently employed.…”

Section: Introductionmentioning

confidence: 99%

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Effect of decoherence on the radiative and squeezing properties in a coherently driven trapped two-level atom

Tesfa

2008

Journal of Modern Optics

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Analysis of the effects of decoherence on the radiative and squeezing properties of a coherently driven two-level atom trapped in a resonant cavity applying the corresponding master equation is presented. The atomic dynamics as well as the squeezing and statistical properties of the emitted radiation are investigated. It is found that the atom stays in the lower energy level more often at steady state irrespective of the strength of the coherent radiation and thermal fluctuations entering the cavity. Moreover, a strong external coherent radiation results the splitting of the line of the emission spectrum, whereas the decoherence broadens the width and significantly decreases the height. It is also found that the emitted radiation exhibits photon anti-bunching, super-Poissonian photon statistics and squeezing, despite the presence of the decoherence which is expected to destroy the quantum features.

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“…Further studies on * pmehai@utu.fi; www.openq.fi † sabrina.maniscalco@utu.fi; www.openq.fi the laser-induced modification of the spontaneous decay of an atom embedded in a structured reservoir are given in Refs. [9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Non-Markovian dynamics of a damped driven two-state system

Haikka

Maniscalco

2010

Phys. Rev. A

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We study a driven two-state system interacting with a generic structured environment. We outline the derivation of the time-local microscopic non-Markovian master equation, in the limit of weak coupling between the system and the reservoir, and we derive its analytic solution for general reservoir spectra in the regime of validity of the secular approximation. We also consider the nonMarkovian master equation without the secular approximation and study the effect of nonsecular terms on the system dynamics for two classes of reservoir spectra: the Ohmic and the Lorentzian reservoir. Finally, we derive the analytic conditions for complete positivity of the dynamical map, with and without the secular approximation. Interestingly, the complete positivity conditions have a transparent physical interpretation in terms of the characteristic time-scales of phase diffusion and relaxation processes.

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Generalized master equation for a two-level atom in a strong field and tailored reservoirs

Cited by 37 publications

References 25 publications

Influence of Electron–Acoustic-Phonon Scattering on Intensity Power Broadening in a Coherently Driven Quantum-Dot–Cavity System

Influence of Electron–Acoustic-Phonon Scattering on Intensity Power Broadening in a Coherently Driven Quantum-Dot–Cavity System

Effect of decoherence on the radiative and squeezing properties in a coherently driven trapped two-level atom

Non-Markovian dynamics of a damped driven two-state system

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