Prof. Nimrod Moiseyev

Prof. Nimrod Moiseyev Most important contributions

Basic formulation of non-Hermitian quantum mechanics (NHQM) with emphasis on chemistry, in particular on resonances. Resonances are metastable states of activated complex in any chemical recation. The calculations of energies and life times of activated complexes are hard and often impossible to do using standard (hermitian) QM . NHQM enables the calculations of the energies and lifetimes of activated complexes.

The theory of NHQM and the computational algorithms for calculating resonance energies, decay rates and cross sections, in the absence of laser fields or in their presence, are described in a monograph of Moiseyev published in Physics reports (1998) with 1010 citations and most recently in his book on NHQM published in 2011 by Cambridge University Press. This book is the first book ever written on NHQM and serves as a textbook and a guide for researchers who want to calculate resonances in different type of systems (e.g., atomic, molecular, nuclear, quantum dots, quantum wells, or optical wave guides). His pioneering contributions to the basic theory of resonances provide understanding of new phenomena and enable the development of computational algorithms and strategies which have lead to successful and well established methodologies to explicitly compute the resonance states of atoms and molecules as well as their properties.

The NHQM theory for cross sections developed by Moiseyev enabled:  the first prediction of the “Interatomic Coulombic decay” (ICD) phenomena in dimers that was confirmed in experiments; to design an efficient IR detector for a selected specific external weak.; to solve the open question how electron can be trapped by molecules in contraduction to the expectations; to explain measured cross section for scattering of atoms and molecules from solid surfaces; and most recently to explain the experimental results for reaction rates in cold molecular collsions. The use of NHQM Moiseyev has lead to the foundation of the field of “Chemistry in high-frequency strong laser fields”, where new type of chemical compounds are produced and to the discovery a new type of conical intersection that was termed by him as a “Laser/Light-induced conical intersections (LICI)” that recently were observed in experiments.

Based on his theory he derived the conditions to control chemical reactions which are used in the studies of chemistry and physics in attosecond strong laser pulses and put an end to the debate on the role of the electronic correlation in the generation of high frequency coherent radiation in the soft X ray regime; and to develop the dynamical symmetry rules for molecular high harmonic generation that enable the control the emited high frequency radiation in experiments. Moiseyev have shown for the first time the role of exceptional points in chemical systems. They also lay the foundation to the discovery of time asymmetric atomic, molecular and optical switches. In the most recent and exciting example exploiting this direction, Moiseyev with his co-workers  design an experiment where the speed of light is reduced to a full stop in optical waveguides. Their paper that was published in Physical Review Letters is already rapidly attracting enormous attention around the world. Reports on this discovery were, for example, given in Newsweek, Independent and Dailymail journals.

As detailed above, Moiseyev has introduced modern concepts and methods to chemistry. Most of these concepts are based on non-Hermitian quantum mechanics to which he contributed significantly. It has become evident that the concepts in NHQM given by Moiseyev are extremely fruitful in chemistry and enable to attack many problems which were either difficult to solve otherwise or were even unsolvable before.

NHQM from foundations to applications

  • Moiseyev, Non-Hermitian Quantum Mechanics, Cambridge University Press, 2011.
  • Moiseyev, Quantum theory of resonances: calculating energies, widths and cross-sections by complex scaling,. Phys. Rep. 302, pp. 212-293 (1998).

Chemistry in strong laser fields

  • Balanarayan, N. Moiseyev, Linear Stark effect for a Sulfur atom in strong high-frequency laser fields,. Phys. Rev. Lett. 110, 253001 (2013).
  • Balanarayan, N. Moiseyev, Chemistry in high-frequency strong laser fields: the story of HeS molecule, Mol. Phys. 111, 1814 (2013).

 Light/Laser Induced Conical Intersection (LICI)

  • Moiseyev, M. Sindelka, L. S. Cederbaum, Laser-induced conical intersections in molecular optical lattices, J. Phys. B, 41, 221001 (2008).
  • Sindelka, N. Moiseyev, L. S. Cederbaum, Strong impact of light-induced conical intersections on the spectrum of diatomic molecules, J. Phys. B, 44, 045603 (2011).

  Time Asymmetric Atomic, Molecular and Optical Switches

  • R. Kapralova-Zdanska, N. Moiseyev, Helium in chirped laser fields as a time-asymmetric atomic switch, J. Chem. Phys. 141, 014307 (2014).
  • Gilary, A. A. Mailybaev, N. Moiseyev, Time-asymmetric quantum-state-exchange mechanism, Phys. Rev. A, 88, 010102 (Rapid Communication), (2013).
  • Uzdin, A. Mailybaev, N. Moiseyev, On the observability and asymmetry of adiabatic state flips generated by exceptional points, J. Phys. A, 44, 435302 (2011).
  • Doppler, A. A. Mailybaev, J. Bohm, U. Kuhl, A. Girschik, F. Libisch, T. J. Milburn, P. Rabl, N. Moiseyev, S. Rotter, Dynamically encircling an exceptional point for asymmetric mode switching, Nature 537,76 (2016).

 Interatomic Coulombic decay by NHQM

  • Santra, J. Zobeley, L. S. Cederbaum, N. Moiseyev, Interatomic Coulombic decay in van der Waals clusters and impact of nuclear motion, Phys. Rev. Lett. 85, 4490 (2000).
  • Goldzak, L. Gantz, I. Gilary, G. Bahir, N. Moiseyev, Vertical currents due to interatomic Coulombic decay in experiments with two coupled quantum wells, Phys. Rev. B 93, 045310 (2016).

Solving the open question on how an electron can be trapped by molecules by NHQM

  • Narevicius, N. Moiseyev, Fingerprints of broad overlapping resonances in the e+H2 cross section, Phys. Rev. Lett. 81, 2221 (1998).
  • Ben-Asher, N. Moiseyev, The boomerang effect in electron-hydrogen molecule scattering as determined by time-dependent calculations, J. Chem. Phys. 146 (2017).

Cross-sections for scattering of atoms / molecules from solid surfaces by NHQM

  • Moiseyev, U. Peskin, Partial widths obtained by the complex resonance-scattering theory, Phys. Rev. A, 42, 255, (1990).
  • Peskin, N. Moiseyev, Gas/surface complex coordinate scattering theory: HD/Ag(111), HD/Pt(111) rotationally inelastic transition intensities, J. Chem. Phys., 96, 2347 (1992).

Explaining experimental results for reaction rates in cold molecular collisions by complex potential energy surfaces calculated by NHQM

  • Bhattacharya, M. Pawlak, A. Ben-Asher, A. Landau, I. Haritan, E. Narevicius, N. Moiseyev, Quantum effects in cold molecular collisions from spatial polarization of electronic wave function, The Journal of Physical Chemistry Letters 10, 855 (2019).
  • Pawlak, A. Ben-Asher, N. Moiseyev, Simple closed-form expression for penning reaction rate coefficients for cold molecular collisions by non-hermitian time-independent adiabatic scattering theory, J. Chem. Theory Comput. 14, 236 (2018).
  • Klein, Y. Shagam, W. Skomorowski, P. S. Zuchowski, M. Pawlak, L. M. C. Janssen, N. Moiseyev, S. Y. T. van de Meerakker, A. van der Avoird, C. P. Koch, E. Narevicius, Directly probing anisotropy in atom-molecule collisions through quantum scattering resonances, Nat. Phys. 13,35, (2017).

Showing the role of exceptional points in chemical systems by NHQM

  • Narevicius, N. Moiseyev, Trapping of an electron due to molecular vibrations, Phys. Rev. Lett. 84, 1681, (2000).
  • Anael Ben-Asher, Daniel Šimsa, Tereza Uhlířová, Milan Šindelka, and Nimrod Moiseyev, Laser Control of Resonance Tunneling via an Exceptional Point, Phys. Rev. Lett. 124, 253202, (2020).

Showing the role of exceptional points in optics by NHQM

  • Goldzak, A. A. Mailybaev, N. Moiseyev, Light Stops at Exceptional Points, Phys. Rev. Lett. 120, 13901, (2018).

Foundation of Parity-Time (PT) Symmetry in Optics by NHQM

  • Klaiman, U. Guenther, N. Moiseyev , Visualization of branch points in PT-symmetric waveguides, Phys. Rev. Lett. ,101, 080402 (1993).

Linking continuous mechanics with NHQM

  • Shmuel and N. Moiseyev, Linking Scalar Elastodynamics and Non-Hermitian Quantum Mechanics, Phys. Rev. Applied, 13, 024074 (2020).