Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

Femtosecond nonlinear spectroscopy is the main tool for the time-resolved detection of
photophysical and photochemical processes. Since most systems of chemical interest are …

Time-dependent density-functional theory (TDDFT) describes the quantum dynamics of
interacting electronic many-body systems formally exactly and in a practical and efficient …

A review is given on the multiconfiguration time-dependent Hartree (MCTDH) method, which
is an algorithm for propagating wavepackets. The formal derivation, numerical …

Approximate resolution of linear systems of differential equations with varying coefficients is
a recurrent problem, shared by a number of scientific and engineering areas, ranging from …

In this paper we consider the construction, analysis, implementation and application of
exponential integrators. The focus will be on two types of stiff problems. The first one is …

We propose a quantum-classical hybrid algorithm of the power method, here dubbed as the
quantum power method, to evaluate H^ n| ψ⟩ with quantum computers, where n is a non …

Efficient and stable algorithms for the calculation of spectral quantities and correlation
functions are some of the key tools in computational condensed-matter physics. In this paper …

I. Introduction Chemical change is brought about by the motion of electrons and nuclei within
reactingmolecules. The description of this internal motion is the subject of molecular …