Conspectus
Rapid, far-from-equilibrium processes involving
excitation of electronic,
vibrational, spin, photon, topological, and other degrees of freedom
form the basis of modern technologies, including electronics and optoelectronics,
solar energy harvesting and conversion to electrical and chemical
energy, quantum information processing, spin- and valleytronics, chemical
detection, and medical therapies. Such processes are studied experimentally
with various time-resolved spectroscopies that allow scientists to
track systemâs evolution on ultrafast time scales and at close
to atomistic level of detail. The availability of various forms of
lasing has made such measurements easily accessible to many experimental
groups worldwide, to study atoms and small molecules, nanoscale and
condensed matter systems, proteins, cells, and mesoscopic materials.
The experimental work necessitates parallel theoretical efforts needed
to interpret the experiments and to provide insights that cannot be
gained through measurements due to experimental limitations.
Non-adiabatic (NA) molecular dynamics (MD) allows one to study
processes at the atomistic level and in the time domain most directly
mimicking the time-resolved experiments. Atomistic modeling takes
full advantage of chemical intuition and principles that guide design
and fabrication of molecules and materials. It provides atomistic
origins of quasi-particles, such as holes, excitons, trions, plasmons,
phonons, polarons, polaritons, spin-waves, momentum-resolved and topological
states, electrically and magnetically polarized structures, and other
abstract concepts. An atomistic description enables one to study realistic
aspects of materials, which necessarily contain defects, dopants,
surfaces, interfaces, passivating ligands, and solvent layers. Often,
such realistic features govern material properties and are hard to
account for phenomenologically. NA-MD requires few approximations
and assumptions. It does not need to assume that atomic motions are
harmonic, that electrons are Drude oscillators, that coupling between
different degrees of freedom is weak, that dynamics is Markovian or
has short memory, or that evolution occurs by exponential kinetics
of transitions between few states. The classical or semiclassical
treatment of atomic motions constitutes the main approximation of
NA-MD and is used because atoms are 3â5 orders of magnitude
heavier than electrons. NA-MD is limited by system size, typically
hundreds or thousands of atoms, and time scale, picoseconds to nanoseconds.
The quality of NA-MD simulations depends on the electronic structure
method used to obtain excited state energies and NA couplings.
NA-MD has been largely popularized and advanced in the chemistry
community that focuses on molecules. Modeling far-from-equilibrium
dynamics in nanoscale and condensed matter systems often has to account
for other types of physics. At the same time, condensed phase NA-MD
allows for approximations that may not work in molecules. Focusing
on the recent NA-MD developments ...