There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …

Identifying topological properties is a major challenge because, by definition, topological
states do not have a local order parameter. While a generic solution to this challenge is not …

In closed systems, the celebrated Lieb–Schultz–Mattis (LSM) theorem states that a one-
dimensional locally interacting half-integer spin chain with translation and spin rotation …

We study finite-temperature dynamical quantum phase transitions (DQPTs) by means of the
fidelity and the interferometric Loschmidt echo (LE) induced metrics. We analyze the …

Topological insulators and superconductors at finite temperature can be characterized by
the topological Uhlmann phase. However, a direct experimental measurement of this …

Nonequilibrium conditions are traditionally seen as detrimental to the appearance of
quantum-coherent many-body phenomena, and much effort is often devoted to their …

The quest for nonequilibrium quantum phase transitions is often hampered by the tendency
of driving and dissipation to give rise to an effective temperature, resulting in classical …

We have applied the recently developed theory of topological Uhlmann numbers to a
representative model of a topological insulator in two dimensions, the Qi–Wu–Zhang model …

Topological order has become a new paradigm to distinguish ground states of interacting
many-body systems without conventional long-range order. Here, we discuss possible …

We introduce a classification of symmetry-protected topological phases applicable to
stationary states of open systems based on a generalization of the many-body polarization …