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Kolkowski R, Berkhout A, Roscam Abbing SDC, Pal D, Dieleman CD, Geuchies JJ, Houtepen AJ, Ehrler B, Koenderink AF. Temporal Dynamics of Collective Resonances in Periodic Metasurfaces. ACS PHOTONICS 2024; 11:2480-2496. [PMID: 38911846 PMCID: PMC11191746 DOI: 10.1021/acsphotonics.4c00412] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 03/06/2024] [Revised: 04/29/2024] [Accepted: 04/29/2024] [Indexed: 06/25/2024]
Abstract
Temporal dynamics of confined optical fields can provide valuable insights into light-matter interactions in complex optical systems, going beyond their frequency-domain description. Here, we present a new experimental approach based on interferometric autocorrelation (IAC) that reveals the dynamics of optical near-fields enhanced by collective resonances in periodic metasurfaces. We focus on probing the resonances known as waveguide-plasmon polaritons, which are supported by plasmonic nanoparticle arrays coupled to a slab waveguide. To probe the resonant near-field enhancement, our IAC measurements make use of enhanced two-photon excited luminescence (TPEL) from semiconductor quantum dots deposited on the nanoparticle arrays. Thanks to the incoherent character of TPEL, the measurements are only sensitive to the fundamental optical fields and therefore can reveal clear signatures of their coherent temporal dynamics. In particular, we show that the excitation of a high-Q collective resonance gives rise to interference fringes at time delays as large as 500 fs, much greater than the incident pulse duration (150 fs). Based on these signatures, the basic characteristics of the resonances can be determined, including their Q factors, which are found to exceed 200. Furthermore, the measurements also reveal temporal beating between two different resonances, providing information on their frequencies and their relative contribution to the field enhancement. Finally, we present an approach to enhance the visibility of the resonances hidden in the IAC curves by converting them into spectrograms, which greatly facilitates the analysis and interpretation of the results. Our findings open up new perspectives on time-resolved studies of collective resonances in metasurfaces and other multiresonant systems.
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Affiliation(s)
- Radoslaw Kolkowski
- Department
of Applied Physics, Aalto University, P.O. Box 13500, Aalto FI-00076, Finland
- Department
of Physics of Information in Matter and Center for Nanophotonics, NWO-I Institute AMOLF, Science Park 104, Amsterdam 1098 XG, The Netherlands
| | - Annemarie Berkhout
- Department
of Physics of Information in Matter and Center for Nanophotonics, NWO-I Institute AMOLF, Science Park 104, Amsterdam 1098 XG, The Netherlands
| | - Sylvianne D. C. Roscam Abbing
- Department
of Physics of Information in Matter and Center for Nanophotonics, NWO-I Institute AMOLF, Science Park 104, Amsterdam 1098 XG, The Netherlands
- Advanced
Research Center for Nanolithography (ARCNL), Science Park 106, Amsterdam 1098 XG, The Netherlands
| | - Debapriya Pal
- Department
of Physics of Information in Matter and Center for Nanophotonics, NWO-I Institute AMOLF, Science Park 104, Amsterdam 1098 XG, The Netherlands
| | - Christian D. Dieleman
- Advanced
Research Center for Nanolithography (ARCNL), Science Park 106, Amsterdam 1098 XG, The Netherlands
- Department
of Sustainable Energy Materials and Center for Nanophotonics, NWO-I Institute AMOLF, Science Park 104, Amsterdam 1098 XG, The Netherlands
| | - Jaco J. Geuchies
- Optoelectronic
Materials Section, Faculty of Applied Sciences, Delft University of Technology, Van der Maasweg 9, Delft 2629 HZ, The Netherlands
| | - Arjan J. Houtepen
- Optoelectronic
Materials Section, Faculty of Applied Sciences, Delft University of Technology, Van der Maasweg 9, Delft 2629 HZ, The Netherlands
| | - Bruno Ehrler
- Department
of Sustainable Energy Materials and Center for Nanophotonics, NWO-I Institute AMOLF, Science Park 104, Amsterdam 1098 XG, The Netherlands
| | - A. Femius Koenderink
- Department
of Physics of Information in Matter and Center for Nanophotonics, NWO-I Institute AMOLF, Science Park 104, Amsterdam 1098 XG, The Netherlands
- Institute
of Physics, University of Amsterdam, Amsterdam 1098 XH, The Netherlands
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Anomalous Fano Resonance in Double Quantum Dot System Coupled to Superconductor. Sci Rep 2020; 10:2881. [PMID: 32076018 PMCID: PMC7031304 DOI: 10.1038/s41598-020-59498-y] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/14/2019] [Accepted: 01/22/2020] [Indexed: 11/24/2022] Open
Abstract
We analyze the influence of a local pairing on the quantum interference in nanoscopic systems. As a model system we choose the double quantum dot coupled to one metallic and one superconducting electrode in the T-shape geometry. The analysis is particularly valuable for systems containing coupled objects with considerably different broadening of energy levels. In such systems, the scattering of itinerant electrons on a discrete (or narrow) energy level gives rise to the Fano-type interference. Systems with induced superconducting order, along well understood Fano resonances, exhibit also another features on the opposite side of the Fermi level. The lineshape of these resonances differs significantly from their reflection on the opposite side of the Fermi level, and their origin was not fully understood. Here, considering the spin-polarized tunneling model, we explain a microscopic mechanism of a formation of these resonances and discuss the nature of their uncommon lineshapes. We show that the anomalous Fano profiles originate solely from the pairing of nonscattered electrons with scattered ones. We investigate also the interplay of each type of resonances with the Kondo physics and discuss the resonant features in differential conductivity.
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Finkelstein-Shapiro D, Pullerits T, Hansen T. Two-dimensional Fano lineshapes: Excited-state absorption contributions. J Chem Phys 2018; 148:184201. [PMID: 29764148 DOI: 10.1063/1.5019376] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023] Open
Abstract
Fano interferences in nanostructures are influenced by dissipation effects as well as many-body interactions. Two-dimensional coherent spectroscopies have just begun to be applied to these systems where the spectroscopic signatures of a discrete-continuum structure are not known. In this article, we calculate the excited-state absorption contribution for different models of higher lying excited states. We find that the characteristic asymmetry of one-dimensional spectroscopies is recovered from the many-body contributions and that the higher lying excited manifolds have distorted lineshapes that are not anticipated from discrete-level Hamiltonians. We show that the Stimulated Emission cannot have contributions from a flat continuum of states. This work completes the Ground-State Bleach and Stimulated Emission signals that were calculated previously [D. Finkelstein-Shapiro et al., Phys. Rev. B 94, 205137 (2016)]. The model reproduces the observations reported for molecules on surfaces probed by 2DIR.
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Affiliation(s)
| | - Tõnu Pullerits
- Division of Chemical Physics, Lund University, P.O. Box 124, 221 00 Lund, Sweden
| | - Thorsten Hansen
- Department of Chemistry, University of Copenhagen, DK 2100 Copenhagen, Denmark
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Moulet A, Bertrand JB, Klostermann T, Guggenmos A, Karpowicz N, Goulielmakis E. Soft x-ray excitonics. Science 2018; 357:1134-1138. [PMID: 28912241 DOI: 10.1126/science.aan4737] [Citation(s) in RCA: 48] [Impact Index Per Article: 6.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/25/2017] [Accepted: 08/22/2017] [Indexed: 11/02/2022]
Abstract
The dynamic response of excitons in solids is central to modern condensed-phase physics, material sciences, and photonic technologies. However, study and control have hitherto been limited to photon energies lower than the fundamental band gap. Here we report application of attosecond soft x-ray and attosecond optical pulses to study the dynamics of core-excitons at the L2,3 edge of Si in silicon dioxide (SiO2). This attosecond x-ray absorption near-edge spectroscopy (AXANES) technique enables direct probing of the excitons' quasiparticle character, tracking of their subfemtosecond relaxation, the measurement of excitonic polarizability, and observation of dark core-excitonic states. Direct measurement and control of core-excitons in solids lay the foundation of x-ray excitonics.
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Affiliation(s)
- A Moulet
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany
| | - J B Bertrand
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany
| | - T Klostermann
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany
| | - A Guggenmos
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany
| | - N Karpowicz
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany
| | - E Goulielmakis
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany.
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Yoshino S, Oohata G, Mizoguchi K. Dynamical Fano-Like Interference between Rabi Oscillations and Coherent Phonons in a Semiconductor Microcavity System. PHYSICAL REVIEW LETTERS 2015; 115:157402. [PMID: 26550752 DOI: 10.1103/physrevlett.115.157402] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/19/2015] [Indexed: 06/05/2023]
Abstract
We report on dynamical interference between short-lived Rabi oscillations and long-lived coherent phonons in CuCl semiconductor microcavities resulting from the coupling between the two oscillations. The Fourier-transformed spectra of the time-domain signals obtained from semiconductor microcavities by using a pump-probe technique show that the intensity of the coherent longitudinal optical phonon of CuCl is enhanced by increasing that of the Rabi oscillation, which indicates that the coherent phonon is driven by the Rabi oscillation through the Fröhlich interaction. Moreover, as the Rabi oscillation frequency decreases upon crossing the phonon frequency, the spectral profile of the coherent phonon changes from a peak to a dip with an asymmetric structure. The continuous wavelet transformation reveals that these peak and dip structures originate from constructive and destructive interference between Rabi oscillations and coherent phonons, respectively. We demonstrate that the asymmetric spectral structures in relation to the frequency detuning are well reproduced by using a classical coupled oscillator model on the basis of dynamical Fano-like interference.
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Affiliation(s)
- S Yoshino
- Department of Physical Science, Graduate School of Science, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai 599-8531, Japan
| | - G Oohata
- Department of Physical Science, Graduate School of Science, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai 599-8531, Japan
| | - K Mizoguchi
- Department of Physical Science, Graduate School of Science, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai 599-8531, Japan
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Langer L, Poltavtsev SV, Yugova IA, Yakovlev DR, Karczewski G, Wojtowicz T, Kossut J, Akimov IA, Bayer M. Magnetic-field control of photon echo from the electron-trion system in a CdTe quantum well: shuffling coherence between optically accessible and inaccessible states. PHYSICAL REVIEW LETTERS 2012; 109:157403. [PMID: 23102368 DOI: 10.1103/physrevlett.109.157403] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/21/2012] [Indexed: 06/01/2023]
Abstract
We report on magnetic field-induced oscillations of the photon echo signal from negatively charged excitons in a CdTe/(Cd,Mg)Te semiconductor quantum well. The oscillatory signal is due to Larmor precession of the electron spin about a transverse magnetic field and depends sensitively on the polarization configuration of the exciting and refocusing pulses. The echo amplitude can be fully tuned from the maximum down to zero depending on the time delay between the two pulses and the magnetic-field strength. The results are explained in terms of the optical Bloch equations accounting for the spin level structure of electrons and trions.
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Affiliation(s)
- L Langer
- Experimentelle Physik 2, Technische Universität Dortmund, 44221 Dortmund, Germany
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Lee JD, Inoue J, Hase M. Ultrafast Fano resonance between optical phonons and electron-hole pairs at the onset of quasiparticle generation in a semiconductor. PHYSICAL REVIEW LETTERS 2006; 97:157405. [PMID: 17155359 DOI: 10.1103/physrevlett.97.157405] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/12/2006] [Indexed: 05/12/2023]
Abstract
Based on the many-body time-dependent approach applied to the ultrafast time region, we investigate the dynamics of creation of an optical phonon incorporating with the electron-hole continuum in a semiconductor. In the transient Fano resonance, due to an interference between those sharp (optical phonon) and continuum (electron-hole pair) quasiparticles, we find the robust destructive interference at birth of them, i.e., tau approximately 0 if the created phonon is coherent under the irradiation of ultrashort optical pulses. The origin is found to be the potential scattering of the electron-hole pair by the q=0 coherent phonon. This finding agrees well with the recent experiment.
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Affiliation(s)
- J D Lee
- International Center for Young Scientists, National Institute for Materials Science, Tsukuba 305-0044, Japan
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W�hr J, Axt V, Siantidis K, Kuhn T. Signatures of Two-Pair Correlations after Simultaneous Excitation of Excitons and Free Electron-Hole Pairs in a Quantum Wire. ACTA ACUST UNITED AC 2002. [DOI: 10.1002/1521-396x(200204)190:3<775::aid-pssa775>3.0.co;2-w] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Alamoudi SM, Boyanovsky D, de Vega HJ. Quantum kinetics and thermalization in a particle bath model. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1999; 60:94-113. [PMID: 11969741 DOI: 10.1103/physreve.60.94] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/24/1998] [Indexed: 04/18/2023]
Abstract
We study the dynamics of relaxation and thermalization in an exactly solvable model of a particle interacting with a harmonic oscillator bath. Our goal is to understand the effects of non-Markovian processes on the relaxational dynamics and to compare the exact evolution of the distribution function with approximate Markovian and non-Markovian quantum kinetics. There are two different cases that are studied in detail: (i) a quasiparticle (resonance) when the renormalized frequency of the particle is above the frequency threshold of the bath and (ii) a stable renormalized "particle" state below this threshold. The time evolution of the occupation number for the particle is evaluated exactly using different approaches that yield to complementary insights. The exact solution allows us to investigate the concept of the formation time of a quasiparticle and to study the difference between the relaxation of the distribution of bare particles and that of quasiparticles. For the case of quasiparticles, the exact occupation number asymptotically tends to a statistical equilibrium distribution that differs from a simple Bose-Einstein form as a result of off-shell processes whereas in the stable particle case, the distribution of particles does not thermalize with the bath. We derive a non-Markovian quantum kinetic equation which resums the perturbative series and includes off-shell effects. A Markovian approximation that includes off-shell contributions and the usual Boltzmann equation (energy conserving) are obtained from the quantum kinetic equation in the limit of wide separation of time scales upon different coarse-graining assumptions. The relaxational dynamics predicted by the non-Markovian, Markovian, and Boltzmann approximations are compared to the exact result. The Boltzmann approach is seen to fail in the case of wide resonances and when threshold and renormalization effects are important.
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Affiliation(s)
- S M Alamoudi
- Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA.
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Birkedal D, Lyssenko VG, Hvam JM. Continuum contribution to excitonic four-wave mixing due to interaction-induced nonlinearities. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:R14250-R14253. [PMID: 9985499 DOI: 10.1103/physrevb.54.r14250] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wehner MU, Steinbach D, Wegener M. Ultrafast coherent transients due to exciton-continuum scattering in bulk GaAs. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:R5211-R5214. [PMID: 9986571 DOI: 10.1103/physrevb.54.r5211] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Östreich T, Schönhammer K, Sham LJ. Theory of spin beatings in the Faraday rotation of semiconductors. PHYSICAL REVIEW LETTERS 1995; 75:2554-2557. [PMID: 10059341 DOI: 10.1103/physrevlett.75.2554] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Glutsch S, Chemla DS. Semiconductor Bloch equations in a homogeneous magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:8317-8322. [PMID: 9979833 DOI: 10.1103/physrevb.52.8317] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Emile O, Bretenaker F. Rotating Polarization-Induced Resonance in Atoms and Molecules. PHYSICAL REVIEW LETTERS 1995; 75:1907-1910. [PMID: 10059159 DOI: 10.1103/physrevlett.75.1907] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Siegner U, Mycek MA, Glutsch S, Chemla DS. Quantum interference in the system of Lorentzian and Fano magnetoexciton resonances in GaAs. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:4953-4961. [PMID: 9979367 DOI: 10.1103/physrevb.51.4953] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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