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Abstract
Optimization of pump-probe signal requires a complete understanding of how signal scales with experimental factors. In simple systems, signal scales quadratically with molar absorptivity, and linearly with fluence, concentration, and path length. In practice, scaling factors weaken beyond certain thresholds (e.g., OD > 0.1) due to asymptotic limits related to optical density, fluence and path length. While computational models can accurately account for subdued scaling, quantitative explanations often appear quite technical in the literature. This Perspective aims to present a simpler understanding of the subject with concise formulas for estimating absolute magnitudes of signal under both ordinary and asymptotic scaling conditions. This formulation may be more appealing for spectroscopists seeking rough estimates of signal or relative comparisons. We identify scaling dependencies of signal with respect to experimental parameters and discuss applications for improving signal under broad conditions. We also review other signal enhancement methods, such as local-oscillator attenuation and plasmonic enhancement, and discuss respective benefits and challenges regarding asymptotic limits that signal cannot exceed.
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Affiliation(s)
- Kevin C Robben
- Department of Chemistry, University of Iowa, Iowa City, Iowa 52242, USA
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2
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Wilcken R, Nishida J, Triana JF, John-Herpin A, Altug H, Sharma S, Herrera F, Raschke MB. Antenna-coupled infrared nanospectroscopy of intramolecular vibrational interaction. Proc Natl Acad Sci U S A 2023; 120:e2220852120. [PMID: 37155895 PMCID: PMC10193936 DOI: 10.1073/pnas.2220852120] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/07/2022] [Accepted: 04/05/2023] [Indexed: 05/10/2023] Open
Abstract
Many photonic and electronic molecular properties, as well as chemical and biochemical reactivities are controlled by fast intramolecular vibrational energy redistribution (IVR). This fundamental ultrafast process limits coherence time in applications from photochemistry to single quantum level control. While time-resolved multidimensional IR-spectroscopy can resolve the underlying vibrational interaction dynamics, as a nonlinear optical technique it has been challenging to extend its sensitivity to probe small molecular ensembles, achieve nanoscale spatial resolution, and control intramolecular dynamics. Here, we demonstrate a concept how mode-selective coupling of vibrational resonances to IR nanoantennas can reveal intramolecular vibrational energy transfer. In time-resolved infrared vibrational nanospectroscopy, we measure the Purcell-enhanced decrease of vibrational lifetimes of molecular vibrations while tuning the IR nanoantenna across coupled vibrations. At the example of a Re-carbonyl complex monolayer, we derive an IVR rate of (25±8) cm-1 corresponding to (450±150) fs, as is typical for the fast initial equilibration between symmetric and antisymmetric carbonyl vibrations. We model the enhancement of the cross-vibrational relaxation based on intrinsic intramolecular coupling and extrinsic antenna-enhanced vibrational energy relaxation. The model further suggests an anti-Purcell effect based on antenna and laser-field-driven vibrational mode interference which can counteract IVR-induced relaxation. Nanooptical spectroscopy of antenna-coupled vibrational dynamics thus provides for an approach to probe intramolecular vibrational dynamics with a perspective for vibrational coherent control of small molecular ensembles.
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Affiliation(s)
- Roland Wilcken
- Department of Physics, and JILA, University of Colorado, Boulder, CO80309
| | - Jun Nishida
- Department of Physics, and JILA, University of Colorado, Boulder, CO80309
| | - Johan F. Triana
- Department of Physics, Universidad de Santiago de Chile, Estación Central917022, Chile
| | - Aurelian John-Herpin
- Institute of Bioengineering, École Polytechnique Fédéral de Lausanne, Lausanne1015, Switzerland
| | - Hatice Altug
- Institute of Bioengineering, École Polytechnique Fédéral de Lausanne, Lausanne1015, Switzerland
| | - Sandeep Sharma
- Department of Chemistry, University of Colorado, Boulder, CO80309
| | - Felipe Herrera
- Department of Physics, Universidad de Santiago de Chile, Estación Central917022, Chile
- Millennium Institute for Research in Optics, Concepción4030000, Chile
| | - Markus B. Raschke
- Department of Physics, and JILA, University of Colorado, Boulder, CO80309
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Cohn B, Sufrin S, Basu A, Chuntonov L. Vibrational Polaritons in Disordered Molecular Ensembles. J Phys Chem Lett 2022; 13:8369-8375. [PMID: 36043884 PMCID: PMC9465717 DOI: 10.1021/acs.jpclett.2c02341] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/28/2022] [Accepted: 08/26/2022] [Indexed: 06/12/2023]
Abstract
Disorder is an intrinsic attribute of any realistic molecular system. It is known to lead to localization, which hampers efficient transport. It was recently proposed that in molecular ensembles strongly coupled to photonic cavities, moderate disorder leads to delocalization and increases of the transport and chemical reaction rates. Vibrational polaritons involve molecular vibrations hybridized with an infrared cavity. When the coupling strength largely exceeds the molecular inhomogeneity, polaritons are unaffected by disorder. However, in many experiments, such a homogeneous limit does not apply. We investigated vibrational polaritons involving molecular ensembles with systematically modified disorder. Counterintuitively, moderate disorder leads to an increase in Rabi splitting and the modification of the polariton bandwidths. Experimental spectroscopic data agree with a Tavis-Cummings-like model that suggests enhanced delocalization of the reservoir states occurs via the admixture of the cavity mode. Our results provide new insights into the paradigm of disorder-induced cavity-assisted delocalization in molecular polaritons.
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Affiliation(s)
- Bar Cohn
- Schulich
Faculty of Chemistry, Solid State Institute, Faculty of Mechanical Engineering, Technion−Israel Institute of Technology, Haifa 3200003, Israel
| | - Shmuel Sufrin
- Schulich
Faculty of Chemistry, Solid State Institute, Faculty of Mechanical Engineering, Technion−Israel Institute of Technology, Haifa 3200003, Israel
| | - Arghyadeep Basu
- Schulich
Faculty of Chemistry, Solid State Institute, Faculty of Mechanical Engineering, Technion−Israel Institute of Technology, Haifa 3200003, Israel
| | - Lev Chuntonov
- Schulich
Faculty of Chemistry, Solid State Institute, Faculty of Mechanical Engineering, Technion−Israel Institute of Technology, Haifa 3200003, Israel
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Cohn B, Sufrin S, Chuntonov L. Ultrafast vibrational excitation transfer on resonant antenna lattices revealed by two-dimensional infrared spectroscopy. J Chem Phys 2022; 156:121101. [DOI: 10.1063/5.0082161] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023] Open
Abstract
High-quality lattice resonances in arrays of infrared antennas operating in an open-cavity regime form polariton states by means of strong coupling to molecular vibrations. We studied polaritons formed by carbonyl stretching modes of (poly)methyl methacrylate on resonant antenna arrays using femtosecond 2DIR spectroscopy. At a normal incidence of excitation light, doubly degenerate antenna-lattice resonances (ALRs) form two polariton states: a lower polariton and an upper polariton. At an off-normal incidence geometry of 2DIR experiments, the ALR degeneracy is lifted and, consequently, the polariton energies are split. We spectrally resolved and tracked the time-dependent evolution of a cross-peak signal associated with the excitation of reservoir states and the unidirectional transfer of the excess energy to lower polaritons. Bi-exponential decay of the cross-peak suggests that a reversible energy exchange between the bright and dark lower polaritons occurs with a characteristic transfer time of ∼200 fs. The cross-peak signal further decays within ∼800 fs, which is consistent with the relaxation time of the carbonyl stretching vibration and with the dephasing time of the ALR. An increase in the excitation pulse intensity leads to saturation of the cross-peak amplitude and a modification of the relaxation dynamics. Using quantum-mechanical modeling, we found that the kinetic scheme that captures all the experimental observations implies that only the bright lower polariton accepts the energy from the reservoir, suggesting that transfer occurs via a mechanism involving dipole–dipole interaction. An efficient reservoir-to-polariton transfer can play an important role in developing novel room-temperature quantum optical devices in the mid-infrared wavelength region.
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Affiliation(s)
- Bar Cohn
- Schulich Faculty of Chemistry, Technion – Israel Institute of Technology, Haifa 3200003, Israel
- Solid State Institute, Technion – Israel Institute of Technology, Haifa 3200003, Israel
| | - Shmuel Sufrin
- Solid State Institute, Technion – Israel Institute of Technology, Haifa 3200003, Israel
- Faculty of Mechanical Engineering, Technion – Israel Institute of Technology, Haifa 3200003, Israel
| | - Lev Chuntonov
- Schulich Faculty of Chemistry, Technion – Israel Institute of Technology, Haifa 3200003, Israel
- Solid State Institute, Technion – Israel Institute of Technology, Haifa 3200003, Israel
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Chuntonov L, Rubtsov IV. Surface-enhanced ultrafast two-dimensional vibrational spectroscopy with engineered plasmonic nano-antennas. J Chem Phys 2020; 153:050902. [DOI: 10.1063/5.0013956] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Lev Chuntonov
- Schulich Faculty of Chemistry and Solid State Institute, Technion – Israel Institute of Technology, Haifa 3200003, Israel
| | - Igor V. Rubtsov
- Department of Chemistry, Tulane University, New Orleans, Louisiana 70118, USA
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6
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Tek G, Hamm P. A Correction Scheme for Fano Line Shapes in Two-Dimensional Infrared Spectroscopy. J Phys Chem Lett 2020; 11:6185-6190. [PMID: 32659094 DOI: 10.1021/acs.jpclett.0c01752] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
The asymmetry of Fano line shapes observed for metal-adsorbate systems is reflected in two-dimensional infrared (2D IR) spectroscopy as a distorted spectrum. A phenomenological correction scheme is proposed that transforms distorted 2D IR spectra into conventional spectra. To that end, a phase correction factor is first derived from the IR absorption spectrum of the sample by symmetrizing the asymmetric line shape and subsequently applied to the distorted 2D IR spectra. The concept is illustrated for a model system consisting of an organic molecule (p-mercaptobenzonitrile) adsorbed on a sputter-coated metal layer (Au). The correction scheme reveals conventional, easily interpretable 2D IR spectra.
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Affiliation(s)
- Gökçen Tek
- Department of Chemistry, University of Zurich, CH-8057 Zurich, Switzerland
| | - Peter Hamm
- Department of Chemistry, University of Zurich, CH-8057 Zurich, Switzerland
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Cohn B, Engelman B, Goldner A, Chuntonov L. Two-Dimensional Infrared Spectroscopy with Local Plasmonic Fields of a Trimer Gap-Antenna Array. J Phys Chem Lett 2018; 9:4596-4601. [PMID: 30044640 DOI: 10.1021/acs.jpclett.8b01937] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
Half-wavelength plasmonic antennas tuned to resonance with molecular vibrational excitations have been demonstrated to enhance 2DIR signals by multiple orders of magnitude. We design doubly degenerate in-plane plasmonic normal modes of the symmetric trimer gap-antenna, which have orthogonal dipole moments excited by light of the appropriate polarization, to localize the enhanced field into the antenna's gap. Vibrational excitations serve as sensitive probes of the plasmonic fields. 2DIR spectroscopy of thin molecular films indicates that molecules emitting enhanced signals experience an electric field with a direction independent of the excitation laser pulse polarization. Our results illustrate the trade-off between the large signal amplification in molecules close to the antenna surface by resonant plasmons, where the direction of the enhanced fields follows metal surface boundary conditions, and the associated limitations for the polarization-selective spectroscopy. The ultrafast quantum dynamics reported by the enhanced signals is not affected by its interaction with plasmonic excitation.
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Gandman A, Mackin RT, Cohn B, Rubtsov IV, Chuntonov L. Radiative Enhancement of Linear and Third-Order Vibrational Excitations by an Array of Infrared Plasmonic Antennas. ACS NANO 2018; 12:4521-4528. [PMID: 29727565 DOI: 10.1021/acsnano.8b00845] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
Infrared gold antennas localize enhanced near fields close to the metal surface, when excited at the frequency of their plasmon resonance, and amplify vibrational signals from the nearby molecules. We study the dependence of the signal enhancement on the thickness of a polymer film containing vibrational chromophores, deposited on the antenna array, using linear (FTIR) and third-order femtosecond vibrational spectroscopy (transient absorption and 2DIR). Our results show that for a film thickness beyond only a few nanometers the near-field interaction is not sufficient to account for the magnitude of the observed signal, which nevertheless has a clear Fano line shape, suggesting a radiative origin of the molecule-plasmon interaction. The mutual radiative damping of plasmonic and molecular transitions leads to the spectroscopic signal of a molecular vibrational excitation to be enhanced by up to a factor of 50 in the case of linear spectroscopy and over 2000 in the case of third-order spectroscopy. A qualitative explanation for the observed effect is given by the extended coupled oscillators model, which takes into account both near-field and radiative interactions between the plasmonic and molecular transitions.
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Affiliation(s)
- Andrey Gandman
- Solid State Institute , Technion-Israel Institute of Technology , Haifa 32000 , Israel
| | - Robert T Mackin
- Department of Chemistry , Tulane University , New Orleans , Louisiana 70118 , United States
| | - Bar Cohn
- Schulich Faculty of Chemistry , Technion-Israel Institute of Technology , Haifa 32000 , Israel
| | - Igor V Rubtsov
- Department of Chemistry , Tulane University , New Orleans , Louisiana 70118 , United States
| | - Lev Chuntonov
- Solid State Institute , Technion-Israel Institute of Technology , Haifa 32000 , Israel
- Schulich Faculty of Chemistry , Technion-Israel Institute of Technology , Haifa 32000 , Israel
- Russel Berrie Nanotechnology Institute , Technion-Israel Institute of Technology , Haifa 32000 , Israel
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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: 0.7] [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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