We study integrable spin chains and quantum and classical cellular automata with
interaction range ℓ≥ 3. This is a family of integrable models for which there was no general …

Understanding the dynamics of bound state formation is one of the fundamental questions in
confining quantum field theories such as Quantum Chromodynamics (QCD). One …

The macroscopic fluctuation theory (MFT) is an effective framework to describe transports
and their fluctuations in classical out-of-equilibrium diffusive systems. Whether the MFT may …

The non-Hermitian skin effect, in which eigenstates of non-Hermitian Hamiltonians are
localized at one boundary in the open boundary condition, has attracted great interest …

Strongly interacting nonequilibrium systems are of great fundamental interest, yet their
inherent complexity make them notoriously hard to analyze. We demonstrate that the …

We use the Lindblad equation method to investigate the onset of a mobility edge and the
topological phase transition in the disordered SSH chain connected to two external baths in …

Non-Hermitian skin effect (NHSE) is a unique feature studied extensively in noninteracting
non-Hermitian systems. In this paper, we extend the NHSE originally discovered in …

In these lecture notes we aim for a pedagogical introduction to both classical and quantum
integrability. Starting from Liouville integrability and passing through Lax pair and r-matrix …

These Lecture Notes discuss the recent theoretical advances in the understanding of open
quantum many-body physics in platforms where both dissipative and coherent processes …

We construct a solvable Lindblad model in arbitrary dimensions, in which the Liouvillian can
be mapped to a BCS-Hubbard model featuring an imaginary Hubbard interaction. The …