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 …

We present an overview of recent advances in the study of energy dynamics and
mechanisms for energy conversion in qubit systems with special focus on realizations in …

Topological order is often quantified in terms of Chern numbers, each of which classifies a
topological singularity. Here, inspired by concepts from high-energy physics, we use …

Topology, with its abstract mathematical constructs, often manifests itself in physics and has
a pivotal role in our understanding of natural phenomena. Notably, the discovery of …

Markovian reservoir engineering, in which time evolution of a quantum system is governed
by a Lindblad master equation, is a powerful technique in studies of quantum phases of …

A Berry curvature is an imaginary component of the quantum geometric tensor (QGT) and is
well studied in many branches of modern physics; however, the quantum metric as a real …

We introduce Weyl Josephson circuits: small Josephson junction circuits that simulate Weyl
band structures. We first formulate a general approach to design circuits that are analogous …

We present measurements of a topological property, the Chern number (C 1), of a closed
manifold in the space of two-level system Hamiltonians, where the two-level system is …

Geometry and topology are fundamental concepts, which underlie a wide range of
fascinating physical phenomena such as topological states of matter and topological …

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 …