We review the recent developments and the current status in the field of quantum-gas cavity
QED. Since the first experimental demonstration of atomic self-ordering in a system …

Floquet engineering is the concept of tailoring a system by a periodic drive, and it is
increasingly employed in many areas of physics. Ultracold atoms in optical lattices offer a …

The discovery of topological phases in non-Hermitian open classical and quantum systems
challenges our current understanding of topological order. Non-Hermitian systems exhibit …

Non-Hermiticity from nonreciprocal hoppings has been shown recently to demonstrate the
non-Hermitian skin effect (NHSE) under open boundary conditions (OBCs). Here we study …

In this article we provide a review of geometrical methods employed in the analysis of
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …

The chopped random basis (CRAB) ansatz for quantum optimal control has been proven to
be a versatile tool to enable quantum technology applications such as quantum computing …

Non-Hermitian systems generically have complex energies, which may host topological
structures, such as links or knots. While there has been great progress in experimentally …

Geometric properties of wave functions can explain the appearance of topological invariants
in many condensed-matter and quantum systems. For example, topological invariants …

We investigate the localization and topological transitions in a one-dimensional (interacting)
non-Hermitian quasiperiodic lattice, which is described by a generalized Aubry-André …

Non-Hermitian quantum many-body systems are a fascinating subject to be explored. Using
the generalized density matrix renormalization group method and complementary exact …