There has been considerable recent progress in identifying candidate materials for the transverse-field Ising chain (TFIC), a paradigmatic model quantum criticality. Here, we study local spin dynamical structure factor of different components disordered region TFIC. We show that low-frequency dynamics spins Ising- and directions have strikingly distinctive temperature dependencies. This leads t...

2014 A quantum renormalization-group technique is applied to the one-dimensional transverse field Ising model in a complex longitudinal field. The Yang-Lee edge singularity is analysed in this model in view of its analogy with the 2d classical Ising model. Previous two-level calculations are improved by retaining four levels in the blocking procedure. A more precise edge exponent 03C3 is found ...

Recently, explicit real time dynamics has been studied in various systems. These quantum mechanical dynamics could provide new recipes in information processing. Here, we study quantum dynamics under time dependent external field. In particular, we compare the thermal and quantum fluctuation in the transverse Ising model. Moreover we study other types of quantum fluctuations, e.g. effects of th...

In this work we consider a superradiant phase transition problem for the Dicke-Ising model, which generalizes Dicke and Ising models annealed complex networks presuming spin-spin interaction. The model accounts interaction between spin (two-level) system external classical (magnetic) quantized (transverse) fields. We examine regular, random, scale-free network structures characterized by delta-...

We show that a crystal of mesoscopic Fe(8) single-molecule magnets is an experimental realization of the quantum Ising model in a transverse field, with dipolar interactions. Quantum annealing has enabled us to explore the quantum and classical phase transitions between the paramagnetic and ferromagnetic phases, at thermodynamical equilibrium. The phase diagram and critical exponents that we ob...