Non-Markovian damping of Rabi oscillations in semiconductor quantum dots

Mogilevtsev, D.; Nisovtsev, A.P.; Kilin, S. Ya.; Cavalcanti, S. B.; Brandi, H. S.; Oliveira, L. E.

doi:10.1088/0953-8984/21/5/055801

Cited by 12 publications

(22 citation statements)

References 38 publications

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“…Under the similar assumption of the factorized initial system-reservoir density matrix state and the use of Eq. (7), the second-order time-convolutionless master equation in the interaction picture can be obtained as [6,7,[25][26][27][28][29][30][31][32][33][34][35][36] …”

Section: Derivations Of Evolution Equationsmentioning

confidence: 99%

“…(8) [6,7,[25][26][27][28][29][30][31][32][33][34][35][36]. One may be tempted to think that the second-order time-nonlocal master equation (8) is more accurate than the second-order time-local (time-convolutionless) master equation (9) since besides the Born approximation, the (first) Markovian approximation of replacingρ(t ′ ) withρ(t) in Eq.…”

Section: Derivations Of Evolution Equationsmentioning

confidence: 99%

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Non-Markovian finite-temperature two-time correlation functions of system operators: Beyond the quantum regression theorem

Goan

Chen

Jian

2011

The Journal of Chemical Physics

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An extremely useful evolution equation that allows systematically calculating the two-time correlation functions (CF's) of system operators for non-Markovian open (dissipative) quantum systems is derived. The derivation is based on perturbative quantum master equation approach, so nonMarkovian open quantum system models that are not exactly solvable can use our derived evolution equation to easily obtain their two-time CF's of system operators, valid to second order in the system-environment interaction. Since the form and nature of the Hamiltonian are not specified in our derived evolution equation, our evolution equation is applicable for bosonic and/or fermionic environments and can be applied to a wide range of system-environment models with any factorized (separable) system-environment initial states (pure or mixed). When applied to a general model of a system coupled to a finite-temperature bosonic environment with a system coupling operator L in the system-environment interaction Hamiltonian, the resultant evolution equation is valid for both L = L † and L = L † cases, in contrast to those evolution equations valid only for L = L † case in the literature. The derived equation that generalizes the quantum regression theorem (QRT) to the non-Markovian case will have broad applications in many different branches of physics. We then give conditions on which the QRT holds in the weak system-environment coupling case, and apply the derived evolution equation to a problem of a two-level system (atom) coupled to a finite-temperature bosonic environment (electromagnetic fields) with L = L † .

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Section: Derivations Of Evolution Equationsmentioning

confidence: 99%

Section: Derivations Of Evolution Equationsmentioning

confidence: 99%

Non-Markovian finite-temperature two-time correlation functions of system operators: Beyond the quantum regression theorem

Goan

Chen

Jian

2011

The Journal of Chemical Physics

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“…The experimental resonance fluorescence spectra in QDcavities is similar to the characteristic Mollow triplet of an atomic system, but the sidebands of the triplet are found to undergo systematic spectral sideband broadening with increasing continuous-wave (cw) drives 19 . This drive-dependent broadening results from the interaction of the driven QD with the underlying phonon reservoir [22][23][24][25][26][27] . For cavity-QED (quantum electrodynamics) systems, acoustic phonon scattering processes also introduce an additional coupling mechanism between a cavity mode and the exciton 28,29 .…”

Section: Introductionmentioning

confidence: 99%

Polaron master equation theory of the quantum-dot Mollow triplet in a semiconductor cavity-QED system

2012

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We present a comprehensive theoretical study of the resonance fluorescence spectra of an excitondriven quantum dot (QD) placed inside a high-Q semiconductor cavity and interacting with an acoustic phonon bath. We derive a quantum master equation (ME) in the polaron frame which includes exciton-phonon and exciton-cavity coupling to all orders. This work details and extends the theory used in a recent issue of Physical Review Letters (C. Roy and S. Hughes 2011: Phys. Rev. Lett. 106 247403) to describe the QD Mollow triplet in the regime of semiconductor cavity-QED. Here we introduce two ME forms, Nakajima-Zwanzig (NZ) and time-convolutionless (TC), both to second order in the system-phonon-reservoir perturbation. In the polaron frame, these two ME forms are shown to yield equivalent population dynamics and fluorescence spectra for a continuous wave (cw) driving field. We also demonstrate that a Markov approximation is valid for computing the incoherent scattering processes and we subsequently exploit the Markovian TC ME to explore the resonance fluorescence spectra of an exciton-driven QD. Both cavity-emitted and exciton-emitted spectra are studied and these are found to have qualitatively different spectral features. Using a coherent driving field, the well known characteristics of the atomic Mollow triplet are shown to be considerably modified with electron-acoustic-phonon scattering and we highlight the key effects arising from both cavity coupling and electron-phonon coupling. Regimes of pronounced cavity feeding and anharmonic cavity-QED are exemplified, and we find that the cavity coupling depends sensitively on the exciton-cavity detuning and the temperature of the phonon bath. We show how the full width at half maximum (linewidth) of the Mollow triplet sidebands varies as a function of the square of the Rabi frequency of the cw pump. Phonon-mediated cavity coupling also contributes to the spectral broadening of the Mollow triplet, depending upon the exciton-cavity detuning and the strength of the exciton-cavity coupling rate. Finally, we calculate the fluorescence spectra for off-resonance cw driving and investigate the resulting Mollow-triplet linewidths.

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“…For the trion and donor-bound exciton heating of the electronic ensemble in the ground state is also one of the relevant mechanisms [30]. Nevertheless, it has been shown that the concrete mechanism is less important than the non-Markovian behavior of a reservoir [31,32]. Here, we assume that for our conditions the intensity-dependence of the dephasing rate is governed by excitation-induced dephasing (EID) [20,21].…”

Section: Pacs Numbersmentioning

confidence: 99%

Damping of Rabi oscillations in intensity-dependent photon echoes from exciton complexes in a CdTe/(Cd,Mg)Te single quantum well

et al. 2017

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We study Rabi oscillations detected in the coherent optical response from various exciton complexes in a 20 nm-thick CdTe/(Cd,Mg)Te quantum well using time-resolved photon echoes. In order to evaluate the role of exciton localization and inhomogeneous broadening we use selective excitation with spectrally narrow ps-pulses. We demonstrate that the transient profile of the photon echo from the localized trion (X − ) and the donor-bound exciton (D 0 X) transitions strongly depends on the strength of the first pulse. It acquires a non-Gaussian shape and experiences significant advancement for pulse areas larger than π due to non-negligible inhomogeneity-induced dephasing of the oscillators during the optical excitation. Next, we observe that an increase of the area of either the first (excitation) or the second (rephasing) pulse leads to a significant damping of the photon echo signal, which is strongest for the neutral excitons and less pronounced for the donor-bound exciton complex (D 0 X). The measurements are analyzed using a theoretical model based on the optical Bloch equations which accounts for the inhomogeneity of optical transitions in order to reproduce the complex shape of the photon echo transients. In addition, the spreading of Rabi frequencies within the ensemble due to the spatial variation of the intensity of the focused Gaussian beams and excitation-induced dephasing are required to explain the fading and damping of Rabi oscillations. By analyzing the results of the simulation for the X − and the D 0 X complexes we are able to establish a correlation between the degree of localization and the transition dipole moments determined as µ(X − )=73 D and µ(D 0 X)=58 D. PACS numbers:Introduction. Coherent control of excitonic states in semiconductor nanostructures under resonant excitation with intense optical pulses attracts a lot of attention in relation with possible applications in quantum information [1]. These ideas exploit coherent rotations of the Bloch vector in the photoexcited two-level system (TLS), which depends on the area of the exciting pulse via Rabi oscillations [2][3][4]. Since stronger localization of excitons is in favor of longer decoherence times, most of the studies of coherent control have concentrated on quantum dots (QD) [3,5,6]. However, the strong localization in QDs is accompanied by large variations in QD size, shape, and composition which consequently leads to the large inhomogeneous broadening of the optical transitions when an ensemble of emitters is used. Therefore, most Rabi oscillation studies were performed on single QDs [7-10].In semiconductor quantum well (QW) structures the inhomogeneous broadening of the optical transitions is significantly smaller as compared to QD systems, i.e. it is possible to selectively address different exciton complexes, such as free and localized excitons, localized charged excitons (trions, X − ), and donor-bound excitons (D 0 X). Therefore, QW structures can be considered as a model system for the investigation of Rabi oscillations and t...

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Non-Markovian damping of Rabi oscillations in semiconductor quantum dots

Cited by 12 publications

References 38 publications

Non-Markovian finite-temperature two-time correlation functions of system operators: Beyond the quantum regression theorem

Non-Markovian finite-temperature two-time correlation functions of system operators: Beyond the quantum regression theorem

Polaron master equation theory of the quantum-dot Mollow triplet in a semiconductor cavity-QED system

Damping of Rabi oscillations in intensity-dependent photon echoes from exciton complexes in a CdTe/(Cd,Mg)Te single quantum well

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