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

In these lecture notes, partly based on a course taught at the Karpacz Winter School in
March 2014, we explore the close connections between non-adiabatic response of a system …

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 …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

We investigate critical quantum metrology, that is, the estimation of parameters in many-
body systems close to a quantum critical point, through the lens of Bayesian inference …

We address the question of whether the super-Heisenberg scaling for quantum estimation is
indeed realizable. We unify the results of two approaches. In the first one, the original system …

The entanglement entropy (EE) of the ground state of a one-dimensional Hamiltonian at
criticality has a universal logarithmic scaling with a prefactor given by the central charge c of …

We give a systematic review of the adiabatic theorem and the leading non-adiabatic
corrections in periodically-driven (Floquet) systems. These corrections have a two-fold …

We present an unconstrained tree-tensor-network approach to the study of lattice gauge
theories in two spatial dimensions, showing how to perform numerical simulations of …

The ground-state criticality of many-body systems is a resource for quantum-enhanced
sensing, namely, the Heisenberg precision limit, provided that one has access to the whole …