Quantum spinon oscillations in a finite one-dimensional transverse Ising model

Finite temperature correlations in the one-dimensional quantum Ising model

We extend the form-factors approach to the quantum Ising model at finite temperature. The two point function of the energy is obtained in closed form, while the two point function of the spin is written as a Fredholm determinant. Using the approach of [1], we obtain, starting directly from the continuum formulation, a set of six differential equations satisfied by this two point function. Four ...

Nonequilibrium Steady State in a Quantum System: One-Dimensional Transverse Ising Model with Energy Current

We study the nonequilibrium steady states of an Ising chain in a transverse field h by investigating the effect of a field l, which drives the current of energy. The zero-temperature, h-l phase diagram is determined exactly, and it is found that the energy current appears continuously above a threshold l . lcshd. The long-range magnetic order (present for h , hc , l , lc) is destroyed in the cu...

Quantum phase transitions in the transverse one-dimensional Ising model with four-spin interactions

Quantum annealing in the transverse Ising model

We introduce quantum fluctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. Quantum fluctuations cause transitions between states and thus play the same role as thermal fluctuations in the conventional approach. The idea is tested by the transverse Ising model, in which the transverse field is a function of time similar to ...

Quantum Phase Transition in a Transverse Ising Chain with Regularly Varying Parameters * the One-dimensional Spin

Using rigorous analytical analysis and exact numerical data for the spin-1 2 transverse Ising chain we discuss the effects of regular alternation of the Hamiltonian parameters on the quantum phase transition inherent in the model.1 2 Ising model in a transverse field (the transverse Ising chain) defined by the Hamiltonian H = n 2Is x n s x n + n Ωs z n (1) is known to be the simplest system exh...