The Entanglement of the XY Spin Chain in a Random Magnetic Field(General)

F. Khastehdel Fumani, Somayyeh Nemati, S. Mahdavifar +1 more

Wang,  Fu, Liping +2 more

Maria Eugênia Silva Nunes, J. A. Plascak, J. Florencio

Jin‐Liang Guo, He‐Shan Song

Houssam Abdul-Rahman, Günter Stolz

We consider the isotropic or anisotropic XY spin chain in the presence of a transversal random magnetic field, with parameters given by random variables. It is shown that eigenfunction correlator localization of the corresponding effective one-particle Hamiltonian implies a uniform area law bound in expectation for the bipartite entanglement entropy of all eigenstates of the XY chain, i.e., a form of many-body localization at all energies. Here, entanglement with respect to arbitrary connected subchains of the chain can be considered. Applications where the required eigenfunction correlator bounds are known include the isotropic XY chain in random field as well as the anisotropic chain in strong or strongly disordered random field.

Shan Chuan-Jia, Cheng Wei-Wen, Tang-Kun Liu +3 more

In this paper, the entanglement in one-dimensional random XY spin system with Dzyaloshinskii-Moriya interaction is investigated, for which the impurities of exchange couplings and the external magnetic fields are considered as random Gaussian distribution variables. By solving the different spin-spin correlation functions and the average magnetization per spin, the concurrence is found. The results show that the Gaussian distribution and Dzyaloshinskii-Moriya interaction have considerable effect on the entanglement near particular locations of the system. Moreover, the entanglement can be controlled and enhanced by varying the distributions of the impurities, the strength of external magnetic field and Dzyaloshinskii-Moriya interaction.