The spontaneous breaking of time-translation symmetry has led to the discovery of a new
phase of matter: the discrete time crystal. Discrete time crystals exhibit rigid subharmonic …

Time crystals are physical systems whose time translation symmetry is spontaneously
broken. Although the spontaneous breaking of continuous time-translation symmetry in static …

Time crystals are periodic states exhibiting spontaneous symmetry breaking in either time-
independent or periodically-driven quantum many-body systems. Spontaneous modification …

Variational quantum algorithms that are used for quantum machine learning rely on the
ability to automatically differentiate parametrized quantum circuits with respect to underlying …

Abstract Greenberger-Horne-Zeilinger (GHZ) states, also known as two-component
Schrödinger cats, play vital roles in the foundation of quantum physics and the potential …

Quantum sensing is one of the arenas that exemplifies the superiority of quantum
technologies over their classical counterparts. Such superiority, however, can be diminished …

Recent progress in the realm of noisy intermediate-scale quantum (NISQ) devices [J.
Preskill, Quantum 2, 79 (2018)] represents an exciting opportunity for many-body physics by …

We demonstrate analytically and numerically that the paradigmatic model of quantum
magnetism, the Heisenberg XXZ spin chain, does not equilibrate. It constitutes an example …

The control of many-body quantum dynamics in complex systems is a key challenge in the
quest to reliably produce and manipulate large-scale quantum entangled states. Recently …

We review various bounds concerning out-of-equilibrium dynamics in few-level and many-
body quantum systems. We primarily focus on closed quantum systems but will also mention …