We study the geometric phase of a qutrit-qubit mixed-spin system in an external homogeneous magnetic field.Both the spin-spin interaction strength𝐽and the external magnetic field𝐵can affect the geometr...We study the geometric phase of a qutrit-qubit mixed-spin system in an external homogeneous magnetic field.Both the spin-spin interaction strength𝐽and the external magnetic field𝐵can affect the geometric phase of the system.In addition,we consider the negativity of the composite system.The relationship between the negativity and the geometric phase is obtained.Finally,we calculate the geometric phase for a thermal mixed state and show how the geometric phase depends on the rescaled coupling parameter and temperature.In the limit𝑇T→0,we can recover the result of the ground state.This analysis has some implications in realistic implementations of geometric quantum computation.展开更多
The energy eigenvalues and eigenfunctions of the Schroedinger equation for Eckart potential as well as the parity-time-symmetric version of the potential in three dimensions with the centrifugal term are investigated ...The energy eigenvalues and eigenfunctions of the Schroedinger equation for Eckart potential as well as the parity-time-symmetric version of the potential in three dimensions with the centrifugal term are investigated approximately by using the Nikitbrov-Uvarov method. To show the accuracy of our results, we calculate the energy eigenvalues for various values of n and l. It is found that the results are in good agreement with the numerical solutions for short-range potential （large α）. For the case of 1/α =〉 i/α, the potential is also studied briefly.展开更多
基金by the Natural Science Basic Research Plan of Shaanxi Province(SJ08A13)the NSF of the Education Bureau of Shaanxi Province(O9jk534)。
文摘We study the geometric phase of a qutrit-qubit mixed-spin system in an external homogeneous magnetic field.Both the spin-spin interaction strength𝐽and the external magnetic field𝐵can affect the geometric phase of the system.In addition,we consider the negativity of the composite system.The relationship between the negativity and the geometric phase is obtained.Finally,we calculate the geometric phase for a thermal mixed state and show how the geometric phase depends on the rescaled coupling parameter and temperature.In the limit𝑇T→0,we can recover the result of the ground state.This analysis has some implications in realistic implementations of geometric quantum computation.
文摘The energy eigenvalues and eigenfunctions of the Schroedinger equation for Eckart potential as well as the parity-time-symmetric version of the potential in three dimensions with the centrifugal term are investigated approximately by using the Nikitbrov-Uvarov method. To show the accuracy of our results, we calculate the energy eigenvalues for various values of n and l. It is found that the results are in good agreement with the numerical solutions for short-range potential （large α）. For the case of 1/α =〉 i/α, the potential is also studied briefly.
