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Pant R, Verma PK, Rangi C, Mondal E, Bhati M, Srinivasan V, Wüster S. Universal Measure for the Impact of Adiabaticity on Quantum Transitions. PHYSICAL REVIEW LETTERS 2024; 132:126903. [PMID: 38579224 DOI: 10.1103/physrevlett.132.126903] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/16/2023] [Revised: 01/25/2024] [Accepted: 02/26/2024] [Indexed: 04/07/2024]
Abstract
Adiabaticity is crucial for our understanding of complex quantum dynamics and thus for advancing fundamental physics and technology, but its impact cannot yet be quantified in complex but common cases where dynamics is only partially adiabatic, several eigenstates are simultaneously populated and transitions between noneigenstates are of key interest. We construct a universally applicable measure that can quantify the adiabaticity of quantum transitions in an arbitrary basis. Our measure distinguishes transitions that occur due to the adiabatic change of populated system eigenstates from transitions that occur due to beating between several eigenstates and can handle nonadiabatic events. While all quantum dynamics fall within the scope of the measure, we demonstrate its usage and utility through two important material science problems-energy and charge transfer-where adiabaticity could be effected by nuclear motion and its quantification will aid not only in unraveling mechanisms but also in system design, for example, of light harvesting systems.
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Affiliation(s)
- R Pant
- Department of Physics, Indian Institute of Science Education and Research, Bhopal, Madhya Pradesh 462 066, India
| | - P K Verma
- Department of Chemistry, Indian Institute of Science Education and Research, Bhopal, Madhya Pradesh 462 066, India
| | - C Rangi
- Department of Physics, Indian Institute of Science Education and Research, Bhopal, Madhya Pradesh 462 066, India
| | - E Mondal
- Department of Chemistry, Indian Institute of Science Education and Research, Bhopal, Madhya Pradesh 462 066, India
| | - M Bhati
- Department of Chemistry, Indian Institute of Science Education and Research, Bhopal, Madhya Pradesh 462 066, India
| | - V Srinivasan
- Department of Chemistry, Indian Institute of Science Education and Research, Bhopal, Madhya Pradesh 462 066, India
| | - S Wüster
- Department of Physics, Indian Institute of Science Education and Research, Bhopal, Madhya Pradesh 462 066, India
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Waly SM, Karlsson JKG, Waddell PG, Benniston AC, Harriman A. Light-Harvesting Crystals Formed from BODIPY-Proline Biohybrid Conjugates: Antenna Effects and Excitonic Coupling. J Phys Chem A 2022; 126:1530-1541. [PMID: 35230124 PMCID: PMC9097531 DOI: 10.1021/acs.jpca.2c00035] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
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A boron dipyrromethene (BODIPY) derivative
bearing a cis-proline residue at the meso-position crystallizes
in the form of platelets with strong (i.e., ΦF =
0.34) red fluorescence, but the absorption and emission spectra differ
markedly from those for dilute solutions. A key building block for
the crystal is a pseudo-dimer where hydrogen bonding
aligns the proline groups and separates the terminal chromophores
by ca. 25 Å. Comparison with a covalently linked bichromophore
suggests that one-dimensional (1D) excitonic coupling between the
terminals is too small to perturb the optical properties. However,
accretion of the pseudo-dimer forms narrow channels
possessing a high density of chromophores. The resultant absorption
spectrum exhibits strong excitonic splitting, which can be explained
quantitatively using the extended dipole approach and allowing for
coupling between ca. 30 BODIPY units. Fluorescence, which decays with
a lifetime of 2.2 ns, is assigned to a delocalized and (slightly)
super-radiant BODIPY dimer situated at the interface and populated
via electronic energy transfer from the interior.
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Pant R, Wüster S. Excitation transport in molecular aggregates with thermal motion. Phys Chem Chem Phys 2020; 22:21169-21184. [PMID: 32929422 DOI: 10.1039/d0cp01211d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Molecular aggregates can under certain conditions transport electronic excitation energy over large distances due to dipole-dipole interactions. Here, we explore to what extent thermal motion of entire monomers can guide or enhance this excitation transport. The motion induces changes of aggregate geometry and hence modifies exciton states. Under certain conditions, excitation energy can thus be transported by the aggregate adiabatically, following a certain exciton eigenstate. While such transport is always slower than direct migration through dipole-dipole interactions, we show that transport through motion can yield higher transport efficiencies in the presence of on-site energy disorder than the static counterpart. For this we consider two simple models of molecular motion: (i) longitudinal vibrations of the monomers along the aggregation direction within their inter-molecular binding potential and (ii) torsional motion of planar monomers in a plane orthogonal to the aggregation direction. The parameters and potential shapes used are relevant to dye-molecule aggregates. We employ a quantum-classical method, in which molecules move through simplified classical molecular dynamics, while the excitation transport is treated quantum mechanically using Schrödinger's equation. For both models we find parameter regimes in which the motion enhances excitation transport, however these are more realistic for the torsional scenario, due to the limited motional range in a typical Morse type inter-molecular potential. We finally show that the transport enhancement can be linked to adiabatic quantum dynamics. This transport enhancement through adiabatic motion appears a useful resource to combat exciton trapping by disorder.
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Affiliation(s)
- Ritesh Pant
- Department of Physics, Indian Institute of Science Education and Research (IISER) Bhopal, Bhopal By-pass Road, Bhauri, Bhopal-462066, MP, India.
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Nugroho BS, Iskandar AA, Malyshev VA, Knoester J. Bistable optical response of a nanoparticle heterodimer: mechanism, phase diagram, and switching time. J Chem Phys 2013; 139:014303. [PMID: 23822299 DOI: 10.1063/1.4811181] [Citation(s) in RCA: 43] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We conduct a theoretical study of the bistable optical response of a nanoparticle heterodimer comprised of a closely spaced semiconductor quantum dot and a metal nanoparticle. The bistable nature of the response results from the interplay between the quantum dot's optical nonlinearity and its self-action (feedback) originating from the presence of the metal nanoparticle. The feedback is governed by a complex valued coupling parameter G = G(R) + iG(I). We calculate the bistability phase diagram within the system's parameter space: spanned by G(R), G(I), and Δ, the latter being the detuning between the driving frequency and the transition frequency of the quantum dot. Additionally, switching times from the lower stable branch to the upper one (and vice versa) are calculated as a function of the intensity of the driving field. The conditions for bistability to occur can be realized, for example, for a heterodimer comprised of a closely spaced CdSe (or CdSe/ZnSe) quantum dot and a gold nanosphere.
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Affiliation(s)
- Bintoro S Nugroho
- Zernike Institute for Advanced Materials, University of Groningen, Groningen, The Netherlands
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Cabrera-Granado E, Díaz E, Calderón OG. Slow light in molecular-aggregate nanofilms. PHYSICAL REVIEW LETTERS 2011; 107:013901. [PMID: 21797543 DOI: 10.1103/physrevlett.107.013901] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/19/2011] [Indexed: 05/31/2023]
Abstract
We study slow-light performance of molecular aggregates arranged in nanofilms by means of coherent population oscillations. The molecular cooperative behavior inside the aggregate enhances the delay of input signals in the gigahertz range in comparison with other coherent population oscillation-based devices. Moreover, the problem of residual absorption present in coherent population oscillation processes is removed. We also propose an optical switch between different delays by exploiting the optical bistability of these aggregates.
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Affiliation(s)
- E Cabrera-Granado
- Max Planck Institute for the Physics of Complex Systems, Dresden, Germany
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Klugkist JA, Malyshev VA, Knoester J. Intrinsic optical bistability of thin films of linear molecular aggregates: the two-exciton approximation. J Chem Phys 2008; 128:084706. [PMID: 18315071 DOI: 10.1063/1.2832312] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We generalize our recent work on the optical bistability of thin films of molecular aggregates [J. A. Klugkist et al., J. Chem. Phys. 127, 164705 (2007)] by accounting for the optical transitions from the one-exciton manifold to the two-exciton manifold as well as the exciton-exciton annihilation of the two-exciton states via a high-lying molecular vibronic term. We also include the relaxation from the vibronic level back to both the one-exciton manifold and the ground state. By selecting the dominant optical transitions between the ground state, the one-exciton manifold, and the two-exciton manifold, we reduce the problem to four levels, enabling us to describe the nonlinear optical response of the film. The one- and two-exciton states are obtained by diagonalizing a Frenkel Hamiltonian with an uncorrelated on-site (diagonal) disorder. The optical dynamics is described by means of the density matrix equations coupled to the electromagnetic field in the film. We show that the one- to two-exciton transitions followed by a fast exciton-exciton annihilation promote the occurrence of bistability and reduce the switching intensity. We provide estimates of pertinent parameters for actual materials and conclude that the effect can be realized.
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Affiliation(s)
- Joost A Klugkist
- Centre for Theoretical Physics and Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands
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Klugkist JA, Malyshev VA, Knoester J. Intrinsic optical bistability of thin films of linear molecular aggregates: The one-exciton approximation. J Chem Phys 2007; 127:164705. [DOI: 10.1063/1.2789416] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Cao L, Miao Y, Zhang Z, Xie S, Yang G, Zou B. Exciton interactions in CdS nanocrystal aggregates in reverse micelle. J Chem Phys 2007; 123:24702. [PMID: 16050761 DOI: 10.1063/1.1904563] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Here we report the formation and spectroscopic properties of cadmium sulfide (CdS) nanocrystal systems: individual nanocrystal and CdS aggregates. The optical absorption and luminescence spectra of the aggregated CdS nanocrystals and individual nanocrystal show exciton aggregate and individual exciton characteristics. Although it is not Bose-Einstein condensation, such aggregated quantum dots (QDs) seem to supply us opportunity to study the interactions and condensation of excitons in multi-QDs system, not in the separated QDs system.
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Affiliation(s)
- Li Cao
- Nanoscale Physics & Device Laboratory, Institute of Physics, CAS, Beijing 100080, China
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Jarque EC, Malyshev VA. Nonlinear resonance reflection from and transmission through a dense glassy system built up of oriented linear Frenkel chains: Two-level model. J Chem Phys 2001. [DOI: 10.1063/1.1390528] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Glaeske H, Malyshev VA, Feller KH. Mirrorless optical bistability of an ultrathin glassy film built up of oriented J-aggregates: Effects of two-exciton states and exciton–exciton annihilation. J Chem Phys 2001. [DOI: 10.1063/1.1344232] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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