Entanglement Dynamics in the System of Two Spin-1/2 Particles with Ising Interaction and Time-Dependent Dzyaloshinskii-Moriya Interaction
In this paper, the dynamics of the spin-1/2 Ising model with added DM interaction is studied. We assume DM interaction is a function of the time. We consider one of the Bell states as an initial state. The concurrence is used to analyze the entanglement between two spins. It is found that in the abs...
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| Published in | Journal of superconductivity and novel magnetism Vol. 35; no. 6; pp. 1527 - 1532 |
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| Format | Journal Article |
| Language | English |
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01.06.2022
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| Abstract | In this paper, the dynamics of the spin-1/2 Ising model with added DM interaction is studied. We assume DM interaction is a function of the time. We consider one of the Bell states as an initial state. The concurrence is used to analyze the entanglement between two spins. It is found that in the absence of the DM interaction, the entanglement maintains its maximum value. By raising DM interaction, the fluctuations of the entanglement increase. If the DM interaction varies with time, the dynamic behavior of the entanglement will be different. By increasing the amplitude of sinusoidal DM interaction, the entanglement fluctuations will be in the opposite phase in the short term. The combination of the constant and time-dependent DM interactions makes the system generates a series of entanglement revival and collapse phenomena over the time. Increasing the angular frequency of the DM interaction changes the order of the entanglement oscillations and strongly increases the oscillations’ speed. |
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| AbstractList | In this paper, the dynamics of the spin-1/2 Ising model with added DM interaction is studied. We assume DM interaction is a function of the time. We consider one of the Bell states as an initial state. The concurrence is used to analyze the entanglement between two spins. It is found that in the absence of the DM interaction, the entanglement maintains its maximum value. By raising DM interaction, the fluctuations of the entanglement increase. If the DM interaction varies with time, the dynamic behavior of the entanglement will be different. By increasing the amplitude of sinusoidal DM interaction, the entanglement fluctuations will be in the opposite phase in the short term. The combination of the constant and time-dependent DM interactions makes the system generates a series of entanglement revival and collapse phenomena over the time. Increasing the angular frequency of the DM interaction changes the order of the entanglement oscillations and strongly increases the oscillations’ speed. |
| Author | Soltani, Mohammad Reza Mahmoudi, Maryam |
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| Cites_doi | 10.1088/0305-4470/33/22/101 10.1007/s10948-015-3359-0 10.1103/PhysRevA.79.052109 10.1016/0022-3697(58)90076-3 10.1038/nphys629 10.1103/PhysRevLett.4.228 10.1038/nature02008 10.1063/1.1494474 10.1109/TIT.2004.839477 10.1103/PhysRevA.61.052306 10.1038/nphys2178 10.1016/j.jmmm.2018.12.019 10.1007/s10948-011-1383-2 10.1038/s41598-018-32145-3 10.1088/1751-8113/42/50/504002 10.1103/PhysRevA.88.023849 10.32474/MAMS.2019.02.000126 10.1103/PhysRevB.62.R751 10.1016/S0304-8853(99)00758-1 10.1103/PhysRevA.89.032303 10.1103/PhysRevLett.80.2245 10.1080/09500349908231260 10.1088/0953-8984/24/37/375303 10.1007/978-3-319-56378-7 10.1007/1-4020-3283-8_3 10.1088/0305-4470/34/35/314 10.1002/pssb.201350253 10.1088/1674-1056/28/2/024204 10.1088/1402-4896/92/2/023005 |
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| SubjectTerms | Characterization and Evaluation of Materials Condensed Matter Physics Magnetic Materials Magnetism Original Paper Physics Physics and Astronomy Strongly Correlated Systems Superconductivity |
| Title | Entanglement Dynamics in the System of Two Spin-1/2 Particles with Ising Interaction and Time-Dependent Dzyaloshinskii-Moriya Interaction |
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