In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

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 correspond to a phase of matter where time-translational symmetry (TTS) is
broken. Up to date, they are well studied in open quantum systems, where an external drive …

We explore both pure and mixed state Floquet dynamical quantum phase transitions
(FDQFTs) in the one-dimensional p-wave superconductor with a time-driven pairing phase …

We investigate both pure and mixed states Floquet dynamical quantum phase transition
(DQPT) in the periodically time-dependent extended XY model. We exactly show that the …

Dynamical quantum phase transitions (DQPTs) are manifested by time-domain nonanalytic
behaviors of many-body systems. Introducing a quench is so far understood as a typical …

Non-Hermitian Hamiltonians provide a simple picture for inspecting dissipative systems with
natural or induced gain and loss. We investigate the Floquet dynamical phase transition in …

Within the ultimate goal of classifying universality in quantum many-body dynamics,
understanding the relation between out-of-equilibrium and equilibrium criticality is a crucial …

We investigate the interplay between non-Hermiticity and finite temperature in the context of
a mixed-state dynamical quantum phase transition (MSDQPT). We consider ap-wave …

Floquet dynamical quantum phase transitions (FDQPTs) are signified by recurrent
nonanalytic behaviors of observables in time. In this work, we introduce a quench-free and …