Non-linear non-local molecular electrodynamics with nano-optical fields
Abstract
The interaction of optical fields sculpted on the nano-scale with matter may not be described by the dipole approximation since the fields may vary appreciably across the molecular length scale. Rather than incrementally adding higher multipoles, it is advantageous and more physically transparent to describe the optical process using non-local response functions that intrinsically include all multi-poles. In this work, we present a semi-classical approach for calculating non-local response functions based on the minimal coupling Hamiltonian. The first, second, and third order response functions are expressed in terms of correlation functions of the charge and the current densities. Finally, this approach is based on the gauge invariant current rather than the polarization, and on the vector potential rather than the electric and magnetic fields.
- Authors:
-
- Wayne State Univ., Detroit, MI (United States). Department of Chemistry and Department of Mathematics
- Univ. of California, Irvine, CA (United States). Department of Chemistry
- Publication Date:
- Research Org.:
- Univ. of California, Irvine, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1469573
- Alternate Identifier(s):
- OSTI ID: 1224331
- Grant/Contract Number:
- FG02-04ER15571
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 143; Journal Issue: 16; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
Citation Formats
Chernyak, Vladimir Y., Saurabh, Prasoon, and Mukamel, Shaul. Non-linear non-local molecular electrodynamics with nano-optical fields. United States: N. p., 2015.
Web. doi:10.1063/1.4934231.
Chernyak, Vladimir Y., Saurabh, Prasoon, & Mukamel, Shaul. Non-linear non-local molecular electrodynamics with nano-optical fields. United States. https://doi.org/10.1063/1.4934231
Chernyak, Vladimir Y., Saurabh, Prasoon, and Mukamel, Shaul. Mon .
"Non-linear non-local molecular electrodynamics with nano-optical fields". United States. https://doi.org/10.1063/1.4934231. https://www.osti.gov/servlets/purl/1469573.
@article{osti_1469573,
title = {Non-linear non-local molecular electrodynamics with nano-optical fields},
author = {Chernyak, Vladimir Y. and Saurabh, Prasoon and Mukamel, Shaul},
abstractNote = {The interaction of optical fields sculpted on the nano-scale with matter may not be described by the dipole approximation since the fields may vary appreciably across the molecular length scale. Rather than incrementally adding higher multipoles, it is advantageous and more physically transparent to describe the optical process using non-local response functions that intrinsically include all multi-poles. In this work, we present a semi-classical approach for calculating non-local response functions based on the minimal coupling Hamiltonian. The first, second, and third order response functions are expressed in terms of correlation functions of the charge and the current densities. Finally, this approach is based on the gauge invariant current rather than the polarization, and on the vector potential rather than the electric and magnetic fields.},
doi = {10.1063/1.4934231},
journal = {Journal of Chemical Physics},
number = 16,
volume = 143,
place = {United States},
year = {Mon Oct 26 00:00:00 EDT 2015},
month = {Mon Oct 26 00:00:00 EDT 2015}
}
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Works referenced in this record:
Subwavelength Focusing of Light with Orbital Angular Momentum
journal, July 2014
- Heeres, Reinier W.; Zwiller, Valery
- Nano Letters, Vol. 14, Issue 8
Quantum coherent plasmon in silver nanowires: A real-time TDDFT study
journal, June 2014
- Ding, Feizhi; Guidez, Emilie B.; Aikens, Christine M.
- The Journal of Chemical Physics, Vol. 140, Issue 24
Modelling the optical response of gold nanoparticles
journal, January 2008
- Myroshnychenko, Viktor; Rodríguez-Fernández, Jessica; Pastoriza-Santos, Isabel
- Chemical Society Reviews, Vol. 37, Issue 9
Nonlinear optical spectroscopy of single, few, and many molecules: Nonequilibrium Green’s function QED approach
journal, February 2008
- Marx, Christoph A.; Harbola, Upendra; Mukamel, Shaul
- Physical Review A, Vol. 77, Issue 2
Nanoscale chemical analysis by tip-enhanced Raman spectroscopy
journal, February 2000
- Stöckle, Raoul M.; Suh, Yung Doug; Deckert, Volker
- Chemical Physics Letters, Vol. 318, Issue 1-3, p. 131-136
Non-adiabatic current densities, transitions, and power absorbed by a molecule in a time-dependent electromagnetic field
journal, July 2015
- Mandal, Anirban; Hunt, Katharine L. C.
- The Journal of Chemical Physics, Vol. 143, Issue 3
Equivalence of interaction hamiltonians in the electric dipole approximation
journal, May 2004
- Rzązewski, K.; Boyd, R. W.
- Journal of Modern Optics, Vol. 51, Issue 8
Significance of Electromagnetic Potentials in the Quantum Theory
journal, August 1959
- Aharonov, Y.; Bohm, D.
- Physical Review, Vol. 115, Issue 3
Proposed Nonlinear Resonance Laser Technique for Manipulating Nanoparticles
journal, August 2012
- Kudo, Tetsuhiro; Ishihara, Hajime
- Physical Review Letters, Vol. 109, Issue 8
Adaptive subwavelength control of nano-optical fields
journal, March 2007
- Aeschlimann, Martin; Bauer, Michael; Bayer, Daniela
- Nature, Vol. 446, Issue 7133
Near-Field Imaging with a Localized Nonlinear Light Source
journal, November 2009
- Palomba, Stefano; Novotny, Lukas
- Nano Letters, Vol. 9, Issue 11
Quantum Spectroscopy of Plasmonic Nanostructures
journal, March 2014
- Kalashnikov, Dmitry A.; Pan, Zhenying; Kuznetsov, Arseniy I.
- Physical Review X, Vol. 4, Issue 1
A quantum electrodynamics framework for the nonlinear optics of twisted beams
journal, March 2002
- Romero, L. C. Dávila; Andrews, D. L.; Babiker, M.
- Journal of Optics B: Quantum and Semiclassical Optics, Vol. 4, Issue 2
Plasmon-Enhanced Brightness and Photostability from Single Fluorescent Proteins Coupled to Gold Nanorods
journal, June 2014
- Donehue, Jessica E.; Wertz, Esther; Talicska, Courtney N.
- The Journal of Physical Chemistry C, Vol. 118, Issue 27
Fan-Shaped Gold Nanoantennas above Reflective Substrates for Surface-Enhanced Infrared Absorption (SEIRA)
journal, January 2015
- Brown, Lisa V.; Yang, Xiao; Zhao, Ke
- Nano Letters, Vol. 15, Issue 2
Optical antennas direct single-molecule emission
journal, March 2008
- Taminiau, T. H.; Stefani, F. D.; Segerink, F. B.
- Nature Photonics, Vol. 2, Issue 4
Optical Antennas
journal, January 2009
- Bharadwaj, Palash; Deutsch, Bradley; Novotny, Lukas
- Advances in Optics and Photonics, Vol. 1, Issue 3
Optical Response of Nanostructures
book, January 2003
- Cho, Kikuo
- Springer Series in Solid-State Sciences
Coulomb Gauge in Non-Relativistic Quantum Electro-Dynamics and the Shape of Spectral Lines
journal, September 1959
- Power, E. A.; Zienau, S.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 251, Issue 999
Generation and Near-Field Imaging of Airy Surface Plasmons
journal, September 2011
- Minovich, Alexander; Klein, Angela E.; Janunts, Norik
- Physical Review Letters, Vol. 107, Issue 11
Distance and Plasmon Wavelength Dependent Fluorescence of Molecules Bound to Silica-Coated Gold Nanorods
journal, July 2014
- Abadeer, Nardine S.; Brennan, Marshall R.; Wilson, William L.
- ACS Nano, Vol. 8, Issue 8
Tip-enhanced Raman scattering
journal, January 2008
- Bailo, Elena; Deckert, Volker
- Chemical Society Reviews, Vol. 37, Issue 5
Matter-field interaction in atomic physics and quantum optics
journal, September 1987
- Lamb, Willis E.; Schlicher, Rainer R.; Scully, Marlan O.
- Physical Review A, Vol. 36, Issue 6
Chemical mapping of a single molecule by plasmon-enhanced Raman scattering
journal, June 2013
- Zhang, R.; Zhang, Y.; Dong, Z. C.
- Nature, Vol. 498, Issue 7452
Surface Plasmon Nanophotonics
book, January 2007
- Brongersma, Mark L.; Kik, Pieter G.
- Springer Series in Optical Sciences
Time-resolved x-ray spectroscopies: Nonlinear response functions and Liouville-space pathways
journal, May 2001
- Tanaka, Satoshi; Chernyak, Vladimir; Mukamel, Shaul
- Physical Review A, Vol. 63, Issue 6
Enhancement of Single-Molecule Fluorescence Using a Gold Nanoparticle as an Optical Nanoantenna
journal, July 2006
- Kühn, Sergei; Håkanson, Ulf; Rogobete, Lavinia
- Physical Review Letters, Vol. 97, Issue 1
Quantum Nanoplasmonics
book, January 2015
- Stockman, Mark I.
- Photonics: Scientific Foundations, Technology and Applications
ChemInform Abstract: Tip-Enhanced Raman Scattering
journal, July 2008
- Bailo, Elena; Deckert, Volker
- ChemInform, Vol. 39, Issue 31
Works referencing / citing this record:
Perspective: Quantum Hamiltonians for optical interactions
journal, January 2018
- Andrews, David L.; Jones, Garth A.; Salam, A.
- The Journal of Chemical Physics, Vol. 148, Issue 4
Quantum transition probabilities during a perturbing pulse: Differences between the nonadiabatic results and Fermi’s golden rule forms
journal, May 2018
- Mandal, Anirban; Hunt, Katharine L. C.
- The Journal of Chemical Physics, Vol. 148, Issue 19
Nonadiabatic transition probabilities in a time-dependent Gaussian pulse or plateau pulse: Toward experimental tests of the differences from Dirac’s transition probabilities
journal, November 2018
- Mandal, Anirban; Hunt, Katharine L. C.
- The Journal of Chemical Physics, Vol. 149, Issue 20
Imaging electron-density fluctuations by multidimensional X-ray photon-coincidence diffraction
journal, December 2018
- Ye, Lyuzhou; Rouxel, Jérémy R.; Cho, Daeheum
- Proceedings of the National Academy of Sciences, Vol. 116, Issue 2
Perspective: Quantum Hamiltonians for Optical Interactions
text, January 2018
- Andrews, David L.; Jones, Garth A.; Salam, A.
- arXiv