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 …

Among the most iconic features of classical dissipative dynamics are persistent limit-cycle
oscillations and critical slowing down at the onset of such oscillations, where the system …

The notion of spontaneous symmetry breaking has been well established to characterize
classical and quantum phase transitions of matter, such as condensation, crystallization or …

For a model with many-to-one connectivity it is widely expected that mean-field theory
captures the exact many-particle N→∞ limit, and that higher-order cumulant expansions of …

We demonstrate the inadequacy of mean-field theory by exploring the effects of initial-state
correlations on the dynamics of continuous time crystals, motivating the need for higher …

We investigate the consequences of introducing nonuniform initial conditions in the
dynamics of spin ensembles characterized by all-to-all interactions. Specifically, our study …

We propose a general mechanism for generating limit cycle (LC) oscillations by coupling a
linear bosonic mode to a dissipative nonlinear bosonic mode. By analyzing the stability …

We show a dissipative phase transition in a driven nonlinear quantum oscillator in which a
discrete time-translation symmetry is spontaneously broken in two different ways. The …

It presents a significant challenge to elucidate the relationship between the phases of open
quantum many-body systems and the spectral structure of their governing Liouvillian, which …

Exploring continuous time crystals (CTCs) within the symmetric subspace of spin systems
has been a subject of intensive research in recent times. Thus far, the stability of the time …