The StrEnQTh project has been extremely productive. At the initial stages, a substantial effort has been put into the team creation, the selection of the team members, and formation of a collaborative team spirit. Throughout, the team was formed by 8 PhD students, 4 postdoctoral fellows, 2 senior researchers, the principal investigator, and two administrative staff. Team members hailed from Brazil, China, Germany, India, Italy, Lebanon, Namibia, and Switzerland. The team has held more than 65 presentations disseminating the aims and results of the project and published 54 peer-reviewed journal articles, 21 preprints, and 1 general-science publication. The website disseminated results and the group required about 650 followers on X.
Almost all of the major milestones of the project have been achieved.
The mathematical basis for objective (i) has been laid. Among central achievements of StrEnQTh, we have developed novel ways to classify the number of particles that are entangled with each other if they have fermionic statistics, and developed frameworks for characterizing entanglement in systems that are subject to constraints or governed by a non-Hermitian model Hamiltonian. In an interesting sidetrack, we also made progress in understanding the role of entanglement for solving hard combinatorial problems, and designed algorithms to exploit quantum effects for solving outstanding problems from computational biophysics and soft matter.
Regarding objective (ii), we developed highly performant numerical and analytical methods, which enabled us to identify and study a variety of novel phenomena in strongly-correlated quantum matter, including dynamical critical behavior, new types of universality, or staircase-like prethermalization. Moreover, we designed new methods to study such highly interacting systems directly in experimental platforms, such as cold atomic gases and superconducting quantum chips. These have lead to first laboratory studies of important gauge-theory phenomena such as Coleman's phase transition, certification of gauge symmetry, or confinement in presence of a topological theta term.
Regarding objective (iii), we have established paradigmatically new experimentally-friendly detection tools for many-body entanglement, the quantum fluctuation-dissipation theorem, exotic quantum phases of matter, particle currents, and many other effects of quantum correlations.
These achievements were enabled by an exceptional degree of cross- and interdisciplinarity, involving collaborations with experimentalists working on a range of quantum-device platforms as well as experts in quantum information theory, high-energy and nuclear physics, cosmology, computational biophysics, soft-matter theory, and quantum chemistry.
