Local entanglement and quantum phase transition in a one-dimensional transverse field Ising model

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...

Dynamical quantum phase transitions in the transverse-field Ising model.

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 energy density at the critical temperature: The knowledge of the free energy density in one phase is insufficient to predict the properties of the other phase. In this Letter we show that a close analogue of this behavior ...

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

Phase Transition in Disordered Quantum Systems: Transverse Ising Models

We introduce the transverse Ising model as a prototype for discussing quantum phase transition. Mean field theory, application to superconductivity by BCS and real space renormalization group technique (in one dimension) are discussed. Next we introduce Suzuki-Trotter formalism to show the correspondence between d-dimensional quantum system with a (d + 1)-dimensional classical system. We then d...

Quantum Phase Transition and Finite-Size Scaling of the One-Dimensional Ising Model

We study the quantum phase transition in the one-dimensional Ising model at zero temperature. As the strength g of the transverse field is changed, the system undergoes a quantum phase transition from an ordered to a disordered phase, characterized by spontaneous magnetization in the z-direction. We apply the standard technique of finite-size scaling in statistical mechanics to detect the natur...