The quantum Kibble-Zurek mechanism (QKZM) predicts universal dynamical behavior near
the quantum phase transitions (QPTs). It is now well understood for the one-dimensional …

We analyze the quantum phase transitions taking place in a one-dimensional transverse-
field Ising model with long-range couplings that decay algebraically with distance. We are …

The trapped-ion quantum simulator has demonstrated qualitative properties of different
physical models for up to tens of ions. In particular, a linear ion chain naturally hosts long …

When a system is driven across a quantum critical point at a constant rate, its evolution must
become nonadiabatic as the relaxation time τ diverges at the critical point. According to the …

Abstract The Kibble–Zurek mechanism (KZM) describes the dynamics across a phase
transition leading to the formation of topological defects, such as vortices in superfluids and …

We construct the finite-temperature dynamical phase diagram of the fully connected
transverse-field Ising model from the vantage point of two disparate concepts of dynamical …

A phase transition indicates a sudden change in the properties of a large system. For
temperature-driven phase transitions this is related to nonanalytic behavior of the free …

We investigate an extension of the quantum Ising (QI) model in one spatial dimension
including long-range $1/{r}^{\alpha} $ interactions in its statics and dynamics with possible …

The dissipative variant of the Ising model in a transverse field is one of the most important
models in the analysis of open quantum many-body systems, due to its paradigmatic …

We study the phase diagram and critical properties of quantum Ising chains with long-range
ferromagnetic interactions decaying in a power-law fashion with exponent $\alpha $, in …