The interaction of light and matter at the single-photon level is of central importance in
various fields of physics, including, eg, condensed matter physics, astronomy, quantum …

Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator
algebraic theory of dynamics in locally interacting systems in any dimension is provided …

Synchronization is a phenomenon where interacting particles lock their motion and display
non-trivial dynamics. Despite intense efforts studying synchronization in systems without …

Encoding quantum information onto bosonic systems is a promising route to quantum error
correction. In a cat code, this encoding relies on the confinement of the dynamics of the …

We investigate how symmetries and conserved quantities relate to the occurrence of the
boundary time crystal (BTC) phase in a generalized spin model with Lindblad dissipation …

We study the dynamics of lattice models of quantum spins one-half, driven by a coherent
drive and subject to dissipation. Generically the mean-field limit of these models manifests …

We investigate an unconventional symmetry in time-periodically driven systems, the Floquet
dynamical symmetry (FDS). Unlike the usual symmetries, the FDS gives symmetry sectors …

We discuss the emergence of non-stationarity in open quantum many-body systems. This
leads us to the definition of dissipative time crystals which display experimentally …

Stark many-body localized (SMBL) systems have been shown both numerically and
experimentally to have Bloch many-body oscillations, quantum many-body scars, and …

The paradigm of second-order phase transitions (PTs) induced by spontaneous symmetry
breaking (SSB) in thermal and quantum systems is a pillar of modern physics that has been …