Cooperative biexciton generation and destructive interference in coupled quantum dots using adiabatic rapid passage

Renaud, Nicolas; Grozema, Ferdinand C.

doi:10.1103/physrevb.90.165307

Cited by 4 publications

(3 citation statements)

References 59 publications

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“…2V ρ ω q (25) being the coupling constants for the electron (e) and hole (h) coupling to the q phonon mode. Here, the formfactors Ψ e(h) are assumed to be spherically symmetric and Gaussian as applies for a parabolic confinement potential and the deformation potential constants D We would like to point out that there have been many suggestions to simulate the QD dynamics under the influence of the carrier-phonon interaction outlined above including correlation expansions 31,32 , analytical solutions for delta excitation 33 , an exact diagonalization approach 34 , quantum jump approaches 35 and various forms of master equations 36-42 some of which account for contributions of arbitrarily high order in the dot-phonon coupling with the help of the polaron transformation 22,[43][44][45][46] . This variety of methods is also a result of the many different optical excitation scenarios that are discussed for QDs which can range from weak cavity couplings to strong pulsed laser excitation.…”

Section: Application: Dynamics Of a Semiconductor Quantum Dotmentioning

confidence: 99%

Path-integral description of combined Hamiltonian and non-Hamiltonian dynamics in quantum dissipative systems

2016

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We present a numerical path-integral iteration scheme for the low dimensional reduced density matrix of a time-dependent quantum dissipative system. Our approach simultaneously accounts for the combined action of a microscopically modelled pure-dephasing type coupling to a continuum of harmonic oscillators representing, e.g., phonons, and further environmental interactions inducing non-Hamiltonian dynamics in the inner system represented, e.g., by Lindblad type dissipation or relaxation. Our formulation of the path-integral method allows for a numerically exact treatment of the coupling to the oscillator modes and moreover is general enough to provide a natural way to include Markovian processes that are sufficiently described by rate equations. We apply this new formalism to a model of a single semiconductor quantum dot which includes the coupling to longitudinal acoustic phonons for two cases: a) external laser excitation taking into account a phenomenological radiative decay of the excited dot state and b) a coupling of the quantum dot to a single mode of an optical cavity taking into account cavity photon losses.

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Section: Application: Dynamics Of a Semiconductor Quantum Dotmentioning

confidence: 99%

Path-integral description of combined Hamiltonian and non-Hamiltonian dynamics in quantum dissipative systems

2016

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“…Tailoring of the optical phase of femtosecond pulses has been used in several applications in photochemistry and time-resolved spectroscopy [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. In general, tailored pulses can be applied using two different approaches: Coherent Control (CC) or Quantum Control Spectroscopy (QCS).…”

Section: Introductionmentioning

confidence: 99%

Quantum Control of Population Transfer and Vibrational States via Chirped Pulses in Four Level Density Matrix Equations

Afa

Serrat

2016

Applied Sciences

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Abstract:We investigate the effect of chirped excitation and the excitation detuning on the coherent control of population transfer and vibrational states in a four-level system. Density matrix equations are studied for optimally enhanced processes by considering specific parameters typical of oxazine systems. Our simulations show a strong dependence on the interplay between chirp and excitation detuning and predict enhancement factors up to 3.2 for population transfer and up to 38.5 for vibrational coherences of electronic excited states. The study of the dynamics of the populations and vibrational coherences involved in the four-level system allows an interpretation of the different enhancement/suppression processes observed.

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“…Tailoring of the optical phase of femtosecond pulses has been used in several applications in photochemistry and time-resolved spectroscopy [39,50,[142][143][144][145][146][147][148][149][150][151][152][153][154][155]. In general, tailored pulses can be applied using two different approaches: Coherent Control (CC) or Quantum Control Spectroscopy (QCS).…”

Section: Introductionmentioning

confidence: 99%

Ultrafast quantum control of atoms and molecules : a density matrix approach

Afa

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Control is important for transferring theoretical scientific knowledge into practical technology for applications in numerous fields. This is why coherent control study is significant on every timescale to have a complete understanding of dynamic processes that occur on the electron, atomic and molecular levels. As a result, numerous schemes have been proposed to carry out effective quantum control of diverse systems and study the dynamics of these systems based on their natural timescales from the picoseconds (10-12 s), femtosecond (10-15 s) to attosecond (10-18 s) regimes. The goals of these various studies depend on the desired application, for instance in Photochemistry a long standing objective is achieving selective population transfer from an initial state to a desired target state with little or no diminution in the energy transferred. In quantum computation, a central issue is the excitation of unoccupied Rydberg states with numerous proposals for its use in the design and implementation of robust fast quantum gates. Also, since the advent of the generation of attosecond XUV pulses, doors have been opened for achieving control of atomic-scale electron dynamics and observing them in real-time. This thesis explores the modelling of dynamical light-matter interaction processes, like effective population inversion and generation of vibrational coherences in atoms and molecules, on their fundamental timescales using the density matrix (DM) theory under and beyond the rotating wave approximation (RWA). The thesis begins by introducing the concept of coherent control of simple quantum systems based on the DM formalism and expands the application to a more complex Oxazine system. Multiphoton p-pulse scheme is demonstrated for the control of population transfer in multilevel systems, for example with a trichromatic p-pulse having a set of areas v3 p, 2p and v3 p, complete population transfer in a four level system can be achieved. The aforementioned scheme is used to achieve effective control of low-lying Rydberg states in rubidium atoms, demonstrating how the effective control can be crucially affected by numerous physical processes. One main advantage of the density matrix approach over other theoretical approaches is that it allows the possibility of easily computing relaxation terms and other physical parameters critical to successful coherent control. The DM formalism is shown to be successful in properly describing the enhancement effects in atoms and complex molecular systems. It is robust in coherent control and quantum control spectroscopy (QCS) schemes and is extendable to numerous systems and geometric configurations. In the last part of the thesis, experiments on laser dressing processes in attosecond transient absorption spectroscopy are compared to numerical simulations using the DM analysis beyond the RWA. The research in this thesis opens a pathway to numerous studies using the DM formalism for applications in diverse fields of femtochemistry, attophysics, high precision spectroscopy and quantum information processing. El control quàntic coherent és important per transferir coneixement científic teòric a la tecnologia, per a aplicacions en nombrosos camps. Per aquest motiu, l'estudi del control coherent és significatiu a totes les escales de temps, per comprendre de manera completa els processos dinàmics que es produeixen en els nivells electrònics, atòmics i moleculars. Com a resultat, s'han proposat nombrosos esquemes per dur a terme un control quàntic eficient de diversos sistemes i estudiar la dinàmica d'aquests sistemes basant-se en les seves escales de temps naturals, des dels picosegons (10-12 s), femtosegons (10-15 s) fins a règims d'attosegons (10-18 s). Els objectius d'aquests estudis depenen de l'aplicació desitjada, per exemple, en fotoquímica, un objectiu buscat extensivament és aconseguir una transferència selectiva de la població des d'un estat inicial fins a un estat final desitjat, amb poca o cap disminució de l'energia transferida. En computació quàntica, un tema central és l'excitació dels estats desocupats de Rydberg, amb nombroses propostes per al seu ús en el disseny i implementació de portes quàntiques robustes i ràpides. A més, des de l'arribada de la generació de polsos XUV d'attosegons, s'han obert camins per aconseguir el control de la dinàmica electrònica a escala atòmica i observar-la en temps real. Aquesta tesi explora la modelització de processos dinàmics d'interacció llum-matèria, com ara la inversió efectiva de població i la generació de coherències vibracionals en àtoms i molècules, en les seves escales de temps fonamentals, utilitzant la teoria de la matriu densitat (MD), en l'aproximació d'ona rotant (RWA) i més enllà. La tesi comença introduint el concepte de control coherent de sistemes quàntics simples basats en el formalisme de MD i amplia l'aplicació a un sistema més complexes, com ara oxazines. Es demostra l'esquema multifotó amb polsos p per al control de la transferència de població en sistemes multinivell, per exemple, amb un pols p-tricromàtic que té un conjunt d'àrees v3 p, 2p i v3 p, amb el qual la transferència completa de població en un sistema de quatre nivells pot ser aconseguit. L'esquema esmentat s'utilitza per aconseguir un control eficient d'estats de Rydberg en àtoms de rubidi, i es mostra com aquest control pot ser afectat crucialment per nombrosos processos físics. Un avantatge principal de l'estudi de la matriu densitat comparat amb altres enfocaments teòrics és que permet la possibilitat de computar fàcilment els termes de relaxació i altres paràmetres físics crítics per a un control coherent efectiu. Es demostra que el formalisme de la MD és exitós per descriure correctament l'amplificació d'efectes tant en àtoms com en sistemes moleculars més complexos. El formalisme de la MD és robust en esquemes de control coherent i d'espectroscòpia quàntica i és extensible a nombrosos sistemes i configuracions. En la darrera part de la tesi, es comparen experiments realitzats sobre processos de "vestiment" amb làsers intensos en espectroscòpia d'absorció transitòria d'attosegon amb simulacions numèriques utilitzant l'anàlisi de MD més enllà de la RWA. La recerca en aquesta tesi obre un camí a nombrosos estudis utilitzant el formalisme de MD per a aplicacions en diversos camps de femtoquímica, attofísica, espectroscòpia d'alta precisió i processament d'informació quàntica.

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Cooperative biexciton generation and destructive interference in coupled quantum dots using adiabatic rapid passage

Cited by 4 publications

References 59 publications

Path-integral description of combined Hamiltonian and non-Hamiltonian dynamics in quantum dissipative systems

Path-integral description of combined Hamiltonian and non-Hamiltonian dynamics in quantum dissipative systems

Quantum Control of Population Transfer and Vibrational States via Chirped Pulses in Four Level Density Matrix Equations

Ultrafast quantum control of atoms and molecules : a density matrix approach

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