Analytical solutions of inhomogeneous transverse field Ising models

Autor:	Chaudhari, Abhijit P., Singh, Rajeev, Mishra, Sunil K.
Rok vydání:	2018
Předmět:	Quantum Physics
Druh dokumentu:	Working Paper
Popis:	The inhomogeneous transverse field Ising models mainly impurity based and the joint chain are analysed analytically using Jordan-Wigner transformations. The effects of inhomogeneities on the phase transition have been discussed in detail. We constructed an ansatz to diagonalize the two models which are taken into consideration. The inhomogeneity is quantified by a coupling parameter, which can be tuned to control the occurrence of quantum phase transition in these models. We have shown a systematic setup using which we can generalise the solution to a system with an arbitrary number of impurity sites and junctions, which are separated by at least two lattice sites. We have analysed the quantum critical point by calculating the correlation functions, transverse magnetization and the gap between the ground state and the first excited state. Comment: 9 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.07316 Zobrazit plný text záznamu View this record from Arxiv