Quantum dynamics and control of vibrational dephasing

Research output: Contribution to journalReview article

Abstract

This review emphasizes the physical principles underlying the dephasing of nonstationary vibrational states of molecules with multiple vibrational degrees of freedom. The motion of atoms within molecules can be described to a very good approximation by a many-level system of coupled anharmonic quantized oscillators. The separation of electronic and nuclear timescales, combined with weak symmetry breaking inherent in molecular structures, guarantees that the Hamiltonian can always be cast in a form that is local in the quantum state space of the molecular vibrations. The resulting nonexponential dephasing dynamics can be controlled with external fields to stabilize nonstationary quantum states, and both quantum-classical and fully quantum control formalisms are described. Coupled molecular vibrations interacting with external fields also offer prospects for quantum computing because vibrational level spacings can be made very large compared to thermal noise, and relaxation mechanisms such as infrared fluorescence are many orders of magnitude slower than the timescales required for coherence transfer. Finally, a toy model that provides insights into the interaction of vibrational degrees of freedom with 'solvent' modes is also discussed, and exhibits nonexponential dynamics in certain regimes.

Original languageEnglish (US)
JournalJournal of Physics Condensed Matter
Volume16
Issue number30
DOIs
StatePublished - Aug 4 2004

Fingerprint

Molecular vibrations
degrees of freedom
Hamiltonians
vibration
Molecules
Thermal noise
thermal noise
quantum computation
vibrational states
Molecular structure
casts
molecules
broken symmetry
molecular structure
Fluorescence
oscillators
spacing
Infrared radiation
Atoms
fluorescence

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

Quantum dynamics and control of vibrational dephasing. / Gruebele, Martin.

In: Journal of Physics Condensed Matter, Vol. 16, No. 30, 04.08.2004.

Research output: Contribution to journalReview article

@article{8c0c1149ec7e4821bd17b4141cfad2db,
title = "Quantum dynamics and control of vibrational dephasing",
abstract = "This review emphasizes the physical principles underlying the dephasing of nonstationary vibrational states of molecules with multiple vibrational degrees of freedom. The motion of atoms within molecules can be described to a very good approximation by a many-level system of coupled anharmonic quantized oscillators. The separation of electronic and nuclear timescales, combined with weak symmetry breaking inherent in molecular structures, guarantees that the Hamiltonian can always be cast in a form that is local in the quantum state space of the molecular vibrations. The resulting nonexponential dephasing dynamics can be controlled with external fields to stabilize nonstationary quantum states, and both quantum-classical and fully quantum control formalisms are described. Coupled molecular vibrations interacting with external fields also offer prospects for quantum computing because vibrational level spacings can be made very large compared to thermal noise, and relaxation mechanisms such as infrared fluorescence are many orders of magnitude slower than the timescales required for coherence transfer. Finally, a toy model that provides insights into the interaction of vibrational degrees of freedom with 'solvent' modes is also discussed, and exhibits nonexponential dynamics in certain regimes.",
author = "Martin Gruebele",
year = "2004",
month = "8",
day = "4",
doi = "10.1088/0953-8984/16/30/R02",
language = "English (US)",
volume = "16",
journal = "Journal of Physics Condensed Matter",
issn = "0953-8984",
publisher = "IOP Publishing Ltd.",
number = "30",

}

TY - JOUR

T1 - Quantum dynamics and control of vibrational dephasing

AU - Gruebele, Martin

PY - 2004/8/4

Y1 - 2004/8/4

N2 - This review emphasizes the physical principles underlying the dephasing of nonstationary vibrational states of molecules with multiple vibrational degrees of freedom. The motion of atoms within molecules can be described to a very good approximation by a many-level system of coupled anharmonic quantized oscillators. The separation of electronic and nuclear timescales, combined with weak symmetry breaking inherent in molecular structures, guarantees that the Hamiltonian can always be cast in a form that is local in the quantum state space of the molecular vibrations. The resulting nonexponential dephasing dynamics can be controlled with external fields to stabilize nonstationary quantum states, and both quantum-classical and fully quantum control formalisms are described. Coupled molecular vibrations interacting with external fields also offer prospects for quantum computing because vibrational level spacings can be made very large compared to thermal noise, and relaxation mechanisms such as infrared fluorescence are many orders of magnitude slower than the timescales required for coherence transfer. Finally, a toy model that provides insights into the interaction of vibrational degrees of freedom with 'solvent' modes is also discussed, and exhibits nonexponential dynamics in certain regimes.

AB - This review emphasizes the physical principles underlying the dephasing of nonstationary vibrational states of molecules with multiple vibrational degrees of freedom. The motion of atoms within molecules can be described to a very good approximation by a many-level system of coupled anharmonic quantized oscillators. The separation of electronic and nuclear timescales, combined with weak symmetry breaking inherent in molecular structures, guarantees that the Hamiltonian can always be cast in a form that is local in the quantum state space of the molecular vibrations. The resulting nonexponential dephasing dynamics can be controlled with external fields to stabilize nonstationary quantum states, and both quantum-classical and fully quantum control formalisms are described. Coupled molecular vibrations interacting with external fields also offer prospects for quantum computing because vibrational level spacings can be made very large compared to thermal noise, and relaxation mechanisms such as infrared fluorescence are many orders of magnitude slower than the timescales required for coherence transfer. Finally, a toy model that provides insights into the interaction of vibrational degrees of freedom with 'solvent' modes is also discussed, and exhibits nonexponential dynamics in certain regimes.

UR - http://www.scopus.com/inward/record.url?scp=3843146138&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3843146138&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/16/30/R02

DO - 10.1088/0953-8984/16/30/R02

M3 - Review article

AN - SCOPUS:3843146138

VL - 16

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 30

ER -