Quantum many-body theory is concerned with the study of
effects of
local interactions between the constituents of a system with many
constituents. Such systems are ubiquitous in the context of condensed
matter physics, in particular in the study of strongly correlated
quantum systems.
We specifically look at correlations
in quantum
many-body systems ("area laws" for the geometric entropy) in
ground
states and in the non-equilibrium
context,
and see how the intricate distribution of such
correlations relates to the performance
of numerical simulation
algorithms, related to the density-matrix
renormalization group approach (DMRG).
We also develop new simulation
algorithms based on tensor networks,
specifically for strongly
correlated fermionic
systems and quantum fields,
and aim at unifying known methods or at
relating them to ideas of real-space
renormalization. We ask questions
of the quantum
and classical complexity of tasks that arise in the description
of
quantum many-body systems.
We are also concerned with
studying
approximate locality in quantum many-body systems, and instances and
consequences of Lieb-Robinson bounds
governing the speed of information
propagation in ordered and disordered
systems.
For a comprehensive list of tutorials and review articles, see this link. For popular articles about our work, see this link.
Quantum many-body theory is concerned with the study of
effects of
local interactions between the constituents of a system with many
constituents. Such systems are ubiquitous in the context of condensed
matter physics, in particular in the study of strongly correlated
quantum systems.