The Effect Of Dzyaloshinskii-Moriya Interaction On The Quantum Correlation Of Heisenberg XYZ Chain

As an important quantum resource,quantum correlation is widely used in many fields such as quantum communication and quantum computing.As one of the simplest spin-solid-state systems,the Heisenberg model has many advantages and is widely used by researchers in all aspects of quantum correlation research.The system and the environment will inevitably interact with each other,so it is necessary to consider the influence of various factors in the environment on the quantum correlation of the system.therefore,We study the Heisenberg XYZ model with Dzyaloshinskii-Moriya interaction,and analyze the quantum entanglement and quantum discord of the system under non-uniform external magnetic fields and cosine time-varying external magnetic fields.The influence of the anisotropic parameters of the XY plane,temperature,magnetic field,Dzyaloshinskii-Moriya interaction,and the angular frequency of the time-varying external magnetic field on the quantum correlation of the system is discussed.The article mainly conducts research from the following aspects:In chapter 1,The introduction of the first chapter mainly introduces the proposal and development process of quantum entanglement and quantum discord,Heisenberg model and Dzyaloshinskii-Moriya interactionIn chapter 2,mainly introduces some measurement methods of quantum correla-tion.In chapter 3,studies the thermal entanglement and quantum discord characterist-ics of the Heisenberg XYZ model,which includes the Dzyaloshinskii-Moriya interaction and considers the existence of an non-uniform external magnetic field.Using Concurrence and quantum discord to measure the quantum correlation properties of the system.Mainly consider the impact of DM interaction on the system.And the relationship between system thermal entanglement and DM interaction when environmental factors such as magnetic field and temperature change.First discussed anisotropic parameter?_J,spin coupling parameter J_z,temperature,magnetic field,and DM interaction on the thermal entanglement of the system are discussed.The research results show that when the DM interaction parameter D increases,it can effectively resist the influence of changes in the external environment such as temperature and magnetic field on the system.Increasing the spin coupling parameter J_z can expand the range of thermal entanglement;secondly,the quantum discord characteristics of this model are studied.The research results show that the enhanced DM interaction can withstand the reduction of the spin chain quantum discord caused by the increase of the external magnetic field B and the temperature T,expand the scope of the quantum discord,and make the spin chain show novel characteristics-the resurrection phenomenon of the quantum discord;The increase of the parameter J_zcan inhibit the occurrence of the phenomenon of spin chain quantum discord mutation.In chapter 4,the Heisenberg XYZ chain with Dzyaloshinskii-Moriya interaction,under the cosine time-varying external magnetic field,has been studied on the related properties of quantum correlation.First,calculate the density matrix of the Hamiltonian of the system.Second,use the Concurrence and quantum discord to study the quantum correlation characteristics of the system.Next,analyze the DM interaction strength,the anisotropy parameter?_J,And when the angular frequencies of the time-varying magnetic fields on the two qubits are proportional to each other,the effect on the quantum correlation of the system.The research results show that thermal entanglement and quantum discord oscillate near the larger when the DM interaction strength increases,and thermal entanglement and quantum discord exhibit periodicity with the increase of the angular frequency ₂?and time t on the second qubit.Sexual changes,When₁?and ₂?change in a certain proportion,the system's quantum entanglement and quantum discord will have different changes;when the appropriate temperature is selected,the system's thermal entanglement and quantum discord will exhibit periodic oscillations within a smaller range Change,the range of value change is small,and the quantum discord will basically tend to be stable.when?₁ and?₂ change in a certain proportion,System quantum entanglement and quantum discord have different changes;Choose an appropriate temperature T,and the quantum discord will basically tend to be stable in a smaller value range.The fifth chapter summarizes and analyzes the research content of the article,and makes some prospects for the later research work.