The thermal or equilibrium ensemble is one of the most ubiquitous states of matter. For
models comprised of many locally interacting quantum particles, it describes a wide range of …

Doubts have been raised on the representation of chiral spin liquids exhibiting topological
order in terms of projected entangled pair states (PEPSs). Here, starting from a simple spin …

Tensor networks capture large classes of ground states of phases of quantum matter
faithfully and efficiently. Their manipulation and contraction has remained a challenge over …

Diagrammatic summation is a common bottleneck in modern applications of projected
entangled-pair states, especially in computing low-energy excitations of a two-dimensional …

The simple update (SU) and full update (FU) are the two paradigmatic time evolution
algorithms for a tensor network known as the infinite projected entangled pair state (iPEPS) …

Time evolution of an infinite two-dimensional (2D) many body quantum lattice system can be
described by the Suzuki-Trotter decomposition applied to the infinite projected entangled …

Tensor networks provide a useful tool to describe low-dimensional complex many-body
systems. Finding efficient algorithms to use these methods for finite-temperature simulations …

We study critical spin systems and field theories using matrix product states, and formulate a
scaling hypothesis in terms of operators, eigenvalues of the transfer matrix, and lattice …

Tensor network algorithms have proven to be very powerful tools for studying one-and two-
dimensional quantum many-body systems. However, their application to three-dimensional …

The Hubbard model is a longstanding problem in the theory of strongly correlated electrons
and a very active one in the experiments with ultracold fermionic atoms. Motivated by current …