151
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Lienau C. Ultrafast near-field spectroscopy of single semiconductor quantum dots. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2004; 362:861-879. [PMID: 15306498 DOI: 10.1098/rsta.2003.1353] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
Excitonic and spin excitations of single semiconductor quantum dots (QDs) currently attract attention as possible candidates for solid-state-based implementations of quantum logic devices. Due to their rather short decoherence times in the picosecond to nanosecond range, such implementations rely on using ultrafast optical pulses to probe and control coherent polarizations. We combine ultrafast spectroscopy and near-field microscopy to probe the nonlinear optical response of a single QD on a femtosecond time-scale. Transient reflectivity spectra show pronounced oscillations around the QD exciton line. These oscillations reflect phase-disturbing Coulomb interactions between the excitonic QD polarization and continuum excitations. The results show that although semiconductor QDs resemble in many respects atomic systems, Coulomb many-body interactions can contribute significantly to their optical nonlinearities on ultrashort time-scales.
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Affiliation(s)
- Christoph Lienau
- Max-Born Institut für Nichtlineare Optik und Kurzzeitspektroskopie, Max Born Strasse 2A, 12489 Berlin, Germany.
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152
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Karrai K, Warburton RJ, Schulhauser C, Högele A, Urbaszek B, McGhee EJ, Govorov AO, Garcia JM, Gerardot BD, Petroff PM. Hybridization of electronic states in quantum dots through photon emission. Nature 2004; 427:135-8. [PMID: 14712271 DOI: 10.1038/nature02109] [Citation(s) in RCA: 108] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/23/2003] [Accepted: 10/02/2003] [Indexed: 11/08/2022]
Abstract
The self-assembly of semiconductor quantum dots has opened up new opportunities in photonics. Quantum dots are usually described as 'artificial atoms', because electron and hole confinement gives rise to discrete energy levels. This picture can be justified from the shell structure observed as a quantum dot is filled either with excitons (bound electron-hole pairs) or with electrons. The discrete energy levels have been most spectacularly exploited in single photon sources that use a single quantum dot as emitter. At low temperatures, the artificial atom picture is strengthened by the long coherence times of excitons in quantum dots, motivating the application of quantum dots in quantum optics and quantum information processing. In this context, excitons in quantum dots have already been manipulated coherently. We show here that quantum dots can also possess electronic states that go far beyond the artificial atom model. These states are a coherent hybridization of localized quantum dot states and extended continuum states: they have no analogue in atomic physics. The states are generated by the emission of a photon from a quantum dot. We show how a new version of the Anderson model that describes interactions between localized and extended states can account for the observed hybridization.
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Affiliation(s)
- Khaled Karrai
- Center for NanoScience and Sektion Physik, Ludwig-Maximilians-Universität, Geschwister-Scholl-Platz 1, 80539 München, Germany
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153
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Borri P, Langbein W, Woggon U, Schwab M, Bayer M, Fafard S, Wasilewski Z, Hawrylak P. Exciton dephasing in quantum dot molecules. PHYSICAL REVIEW LETTERS 2003; 91:267401. [PMID: 14754087 DOI: 10.1103/physrevlett.91.267401] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/29/2003] [Indexed: 05/11/2023]
Abstract
We have measured the exciton dephasing time in InAs/GaAs quantum dot molecules having different interdot barrier thicknesses in the temperature range from 5 to 60 K, using a highly sensitive four-wave mixing heterodyne technique. At 5 K dephasing times of several hundred picoseconds are found. Moreover, a systematic dependence of the dephasing dynamics on the barrier thickness is observed. These results show how the quantum-mechanical coupling of the electronic wave functions in the molecules affects both the exciton radiative lifetime and the exciton-acoustic phonon interaction.
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Affiliation(s)
- P Borri
- Experimentelle Physik II, Universität Dortmund, Otto-Hahn Strasse 4, D-44227 Dortmund, Germany
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154
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Förstner J, Weber C, Danckwerts J, Knorr A. Phonon-assisted damping of Rabi oscillations in semiconductor quantum dots. PHYSICAL REVIEW LETTERS 2003; 91:127401. [PMID: 14525398 DOI: 10.1103/physrevlett.91.127401] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/30/2002] [Indexed: 05/24/2023]
Abstract
Electron-phonon interaction is a major source of optical dephasing in semiconductor quantum dots. Within a density matrix theory the electron-phonon interaction is considered up to the second order of a correlation expansion, allowing the calculation of the quantum kinetic dephasing dynamics of optically induced nonlinearities in GaAs quantum dots for arbitrary pulse strengths and shapes. We find Rabi oscillations renormalized and a damping that depends on the input pulse strength, a behavior not known from exponential dephasing mechanisms.
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Affiliation(s)
- J Förstner
- Institute for Theoretical Physics, Technical University of Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany
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155
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Li X, Wu Y, Steel D, Gammon D, Stievater TH, Katzer DS, Park D, Piermarocchi C, Sham LJ. An all-optical quantum gate in a semiconductor quantum dot. Science 2003; 301:809-11. [PMID: 12907794 DOI: 10.1126/science.1083800] [Citation(s) in RCA: 190] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
We report coherent optical control of a biexciton (two electron-hole pairs), confined in a single quantum dot, that shows coherent oscillations similar to the excited-state Rabi flopping in an isolated atom. The pulse control of the biexciton dynamics, combined with previously demonstrated control of the single-exciton Rabi rotation, serves as the physical basis for a two-bit conditional quantum logic gate. The truth table of the gate shows the features of an all-optical quantum gate with interacting yet distinguishable excitons as qubits. Evaluation of the fidelity yields a value of 0.7 for the gate operation. Such experimental capability is essential to a scheme for scalable quantum computation by means of the optical control of spin qubits in dots.
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Affiliation(s)
- Xiaoqin Li
- Frontiers in Optical Coherent and Ultrafast Science (FOCUS), Harrison M. Randall Laboratory of Physics, The University of Michigan, Ann Arbor, Michigan 48109-1120, USA
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156
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Ardavan A, Austwick M, Benjamin SC, Briggs GAD, Dennis TJS, Ferguson A, Hasko DG, Kanai M, Khlobystov AN, Lovett BW, Morley GW, Oliver RA, Pettifor DG, Porfyrakis K, Reina JH, Rice JH, Smith JD, Taylor RA, Williams DA, Adelmann C, Mariette H, Hamers RJ. Nanoscale solid-state quantum computing. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2003; 361:1473-1485. [PMID: 12869322 DOI: 10.1098/rsta.2003.1214] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
Most experts agree that it is too early to say how quantum computers will eventually be built, and several nanoscale solid-state schemes are being implemented in a range of materials. Nanofabricated quantum dots can be made in designer configurations, with established technology for controlling interactions and for reading out results. Epitaxial quantum dots can be grown in vertical arrays in semiconductors, and ultrafast optical techniques are available for controlling and measuring their excitations. Single-walled carbon nanotubes can be used for molecular self-assembly of endohedral fullerenes, which can embody quantum information in the electron spin. The challenges of individual addressing in such tiny structures could rapidly become intractable with increasing numbers of qubits, but these schemes are amenable to global addressing methods for computation.
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Affiliation(s)
- A Ardavan
- Clarendon Laboratory, Parks Road, Oxford OX1 3PU, UK
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157
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Takemoto K, Ikezawa M, Masumoto Y. Low-temperature dephasing mechanism of very small quantum dots: the role of confined phonons and surrounding matrices. ACTA ACUST UNITED AC 2003. [DOI: 10.1002/pssc.200303068] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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158
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Herz LM, Phillips RT. Quantum computing: Fine lines from dots. NATURE MATERIALS 2002; 1:212-213. [PMID: 12618778 DOI: 10.1038/nmat777] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
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159
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Borri P, Langbein W, Schneider S, Woggon U, Sellin RL, Ouyang D, Bimberg D. Relaxation and dephasing of multiexcitons in semiconductor quantum dots. PHYSICAL REVIEW LETTERS 2002; 89:187401. [PMID: 12398633 DOI: 10.1103/physrevlett.89.187401] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/15/2002] [Indexed: 05/24/2023]
Abstract
We measure the dephasing time of ground-state excitonic transitions in InGaAs quantum dots under electrical injection in the temperature range from 10 to 70 K. Electrical injection into the barrier region results in a pure dephasing of the excitonic transitions. Once the injected carriers fill the electronic ground state, the biexciton to exciton transition is probed and a correlation of the exciton and biexciton phonon scattering mechanisms is found. Additional filling of the excited states creates multiexcitons that show a fast dephasing due to population relaxation.
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Affiliation(s)
- P Borri
- Experimentelle Physik IIb, Universität Dortmund, Otto-Hahn Strasse 4, D-44221 Dortmund, Germany
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160
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Santori C, Fattal D, Vucković J, Solomon GS, Yamamoto Y. Indistinguishable photons from a single-photon device. Nature 2002; 419:594-7. [PMID: 12374958 DOI: 10.1038/nature01086] [Citation(s) in RCA: 347] [Impact Index Per Article: 15.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
Single-photon sources have recently been demonstrated using a variety of devices, including molecules, mesoscopic quantum wells, colour centres, trapped ions and semiconductor quantum dots. Compared with a Poisson-distributed source of the same intensity, these sources rarely emit two or more photons in the same pulse. Numerous applications for single-photon sources have been proposed in the field of quantum information, but most--including linear-optical quantum computation--also require consecutive photons to have identical wave packets. For a source based on a single quantum emitter, the emitter must therefore be excited in a rapid or deterministic way, and interact little with its surrounding environment. Here we test the indistinguishability of photons emitted by a semiconductor quantum dot in a microcavity through a Hong-Ou-Mandel-type two-photon interference experiment. We find that consecutive photons are largely indistinguishable, with a mean wave-packet overlap as large as 0.81, making this source useful in a variety of experiments in quantum optics and quantum information.
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Affiliation(s)
- Charles Santori
- Quantum Entanglement Project, ICORP, JST, E. L. Ginzton Laboratory, Stanford University, Stanford, California 94305-4088, USA.
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161
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Zrenner A, Beham E, Stufler S, Findeis F, Bichler M, Abstreiter G. Coherent properties of a two-level system based on a quantum-dot photodiode. Nature 2002; 418:612-4. [PMID: 12167853 DOI: 10.1038/nature00912] [Citation(s) in RCA: 152] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
Present-day information technology is based mainly on incoherent processes in conventional semiconductor devices. To realize concepts for future quantum information technologies, which are based on coherent phenomena, a new type of 'hardware' is required. Semiconductor quantum dots are promising candidates for the basic device units for quantum information processing. One approach is to exploit optical excitations (excitons) in quantum dots. It has already been demonstrated that coherent manipulation between two excitonic energy levels--via so-called Rabi oscillations--can be achieved in single quantum dots by applying electromagnetic fields. Here we make use of this effect by placing an InGaAs quantum dot in a photodiode, which essentially connects it to an electric circuit. We demonstrate that coherent optical excitations in the quantum-dot two-level system can be converted into deterministic photocurrents. For optical excitation with so-called pi-pulses, which completely invert the two-level system, the current is given by I = fe, where f is the repetition frequency of the experiment and e is the elementary charge. We find that this device can function as an optically triggered single-electron turnstile.
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Affiliation(s)
- A Zrenner
- Walter Schottky Institut, Technische Universität München, Am Coulombwall, D-85748 Garching, Germany.
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162
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Guenther T, Lienau C, Elsaesser T, Glanemann M, Axt VM, Kuhn T, Eshlaghi S, Wieck AD. Coherent nonlinear optical response of single quantum dots studied by ultrafast near-field spectroscopy. PHYSICAL REVIEW LETTERS 2002; 89:057401. [PMID: 12144462 DOI: 10.1103/physrevlett.89.057401] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/21/2002] [Indexed: 05/23/2023]
Abstract
The nonlinear response of single GaAs quantum dots is studied in femtosecond near-field pump-probe experiments. At negative time delays, transient reflectivity spectra show pronounced oscillatory structure around the quantum dot exciton line, providing the first evidence for a perturbed free induction decay of the excitonic polarization. Phase-disturbing Coulomb interactions between the excitonic polarization and continuum excitations dominate the optical nonlinearity on ultrafast time scales. A theoretical analysis based on the semiconductor Bloch equations accounts for this behavior.
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Affiliation(s)
- Tobias Guenther
- Max-Born-Institut für Nichtlineare Optik und Kurzzeitspektroskopie, D-12489 Berlin, Germany
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163
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Lenihan AS, Gurudev Dutt MV, Steel DG, Ghosh S, Bhattacharya PK. Raman coherence beats from entangled polarization eigenstates in InAs quantum dots. PHYSICAL REVIEW LETTERS 2002; 88:223601. [PMID: 12059418 DOI: 10.1103/physrevlett.88.223601] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/11/2002] [Indexed: 05/23/2023]
Abstract
The homodyne-detected transient four-wave-mixing response of InAs/GaAs self-assembled quantum dots shows temporal oscillations of the optically induced Raman coherence arising from two entangled polarization eigenstates of the exciton. The phase sensitive nature of the homodyne detection enables us to follow the time evolution of the nonradiative quantum coherence between the polarization states, providing a measurement of the fine-structure splitting in the dots, which is much less than the inhomogeneous broadening, and the corresponding decoherence rate of the entangled state.
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Affiliation(s)
- A S Lenihan
- The FOCUS Center, H.M. Randall Laboratory of Physics, The University of Michigan, Ann Arbor, Michigan 48109, USA
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164
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Verzelen O, Ferreira R, Bastard G. Excitonic polarons in semiconductor quantum dots. PHYSICAL REVIEW LETTERS 2002; 88:146803. [PMID: 11955167 DOI: 10.1103/physrevlett.88.146803] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/18/2001] [Indexed: 05/23/2023]
Abstract
The discretization of the electronic spectrum in semiconductor quantum dots implies a strong coupling behavior between the optical phonons and the electron-hole pairs, despite the fact that a pair is electrically neutral. The excitonic polarons strongly modify the optical spectra. In particular, the ground excitonic polaron contains one or two phonon components, which leads to the existence of phonon replicas in the luminescence. The population and coherence decay times of the optical transition associated with the ground excitonic polaron are calculated.
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Affiliation(s)
- O Verzelen
- Laboratoire de Physique de la Matière Condensée ENS, 24 rue Lhomond F75005 Paris, France.
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165
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