Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

We review recent progress on constructing non-equilibrium steady state density operators of
boundary driven locally interacting quantum chains, where driving is implemented via …

An exact and explicit ladder-tensor-network ansatz is presented for the nonequilibrium
steady state of an anisotropic Heisenberg XXZ spin-1/2 chain which is driven far from …

We present a methodology to simulate the quantum thermodynamics of thermal machines
which are built from an interacting working medium in contact with fermionic reservoirs at a …

We introduce families of one-dimensional Lindblad equations describing open many-
particle quantum systems that are exactly solvable in the following sense:(i) The space of …

We calculate a nonequilibrium steady state of a quantum XX chain in the presence of
dephasing and driving due to baths at chain ends. The obtained state is exact in the limit of …

We study abrupt changes in the dynamics and/or steady state of fermionic noise-driven
systems produced by small changes in the system parameters. Specifically, we consider …

We investigate the effects of phase noise and particle loss on the dynamics of a Bose-
Einstein condensate in an optical lattice. Starting from the many-body master equation, we …

We review results on GKSL-type equations with multi-modal generators which are quadratic
in bosonic or fermionic creation and annihilation operators. General forms of such equations …

Situated as a language between computer science, quantum physics and mathematics,
tensor network theory has steadily grown in popularity and can now be found in applications …