The Ising model is known widely for studying equilibrium behavior. We show that the model is also useful for studying nonequilibrium behavior in some special situations. The method of recurrence relations has been applied to obtain the time evolution of a non-commuting spin operator. Also obtained are the structure functions and their time dependent behavior. It is shown that the transverse com...

By numerically solving the Schrödinger equation for small sizes we investigate the quantum critical point of the infinite-range Ising spin glass in a transverse field at zero temperature. Despite its simplicity the method yields accurate information on the value of the critical field and critical exponents. We obtain 0c = 1.47± 0.01 and check that exponents are in agreement with analytical appr...

We present a rigorous determination of the critical value of the ground-state quantum Ising model in a transverse field, on a class of planar graphs which we call star-like. These include the star graph, which is a junction of several copies of Z at a single point. Our approach is to use the graphical, or fk-, representation of the model, and the probabilistic and geometric tools associated wit...

Abstract. We prove several theorems to give sufficient conditions for convergence of quantum annealing, which is a protocol to solve generic optimization problems by quantum dynamics. In particular the property of strong ergodicity is proved for the path-integral Monte Carlo implementation of quantum annealing for the transverse Ising model under a power decay of the transverse field. This resu...

Using the effective field theory that accounts for the self-spin correlation function, the critical behavior of a magnetic superlattice consisting of two different ferromagnets is examined in a transverse spin-l/2 Ising model. The dependence of the critical temperature on the thickness of the constituents in a unit cell is investigated for different cases. A critical value of the interface exch...

Two objects are entangled when their quantum mechanical wavefunctions cannot be written in a separable product form. Entangling dissimilar quantum objects, or hybridization, has been suggested as a promising route to efficient quantum information processors, but mostly realized on a limited scale. Hybrid nuclear-electronic many-body systems remain a largely unexplored challenge to both experime...

Quantum annealing in the transverse-field Ising model (TFIM) with open-system dynamics is known to use thermally assisted tunneling drive computation. However, it still subject debate whether quantum systems presence of decoherence are more useful than those using classical We contribute this by introducing perturbed ferromagnetic chain (PFC), a frustrated subsystems where degree frustration sc...