Quantum-enhanced measurements exploit quantum mechanical effects for increasing the
sensitivity of measurements of certain physical parameters and have great potential for both …

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 transverse field Ising and XY models (the simplest quantum spin models) provide the
organising principle for the rich variety of interconnected subjects which are covered in this …

We review the quantum fidelity approach to quantum phase transitions in a pedagogical
manner. We try to relate all established but scattered results on the leading term of the …

In this article we derive a measure of quantumness in quantum multi-parameter estimation
problems. We can show that the ratio between the mean Uhlmann curvature and the Fisher …

We propose a versatile Loschmidt echo protocol to detect and quantify multiparticle
entanglement. It allows us to extract the quantum Fisher information for arbitrary pure states …

The behavior of the ground-state fidelity susceptibility in the vicinity of a quantum critical
point is investigated. We derive scaling relations describing its singular behavior in the …

We study strong correlation effects in topological insulators via the Lanczos algorithm, which
we utilize to calculate the exact many-particle ground-state wave function and its topological …

We investigate one-dimensional SU (N) Hubbard chains at zero temperature, which can be
emulated with ultracold alkaline-earth-metal atoms, by using the density matrix …

We investigate the interaction-induced superfluid-to-Mott-insulator transition in the one-
dimensional Bose-Hubbard model (BHM) for fillings n= 1, n= 2, and n= 3 by studying the …