### Abstract

We study the dynamics of entanglement for a one-dimensional spin system, where spins are coupled through nearest-neighbor exchange interaction and subject to different external magnetic fields. First we examine the system size effect on the entanglement with three different external magnetic fields changing with time t: an exponential function e[-Kt] and two periodic sin[Kt] and cos[Kt] functions, where K is a control parameter. We have found that the entanglement fluctuates shortly after a disturbance by an external magnetic field when the system size is small. For larger system size, the entanglement reaches a stable state for a long time before it fluctuates. However, this fluctuation of entanglement disappears when the system size goes to infinity. We also show that in a periodic external magnetic field, the nearest-neighbor entanglement displays a periodic structure with a period related to that of the magnetic field. Moreover, changing the direction of the magnetic field will destroy the concurrence in the system.

Original language | English |
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Article number | 022339 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 73 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2 Mar 2006 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)

### Cite this

**Entanglement evolution of one-dimensional spin systems in external magnetic fields.** / Huang, Zhen; Kais, Sabre.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Entanglement evolution of one-dimensional spin systems in external magnetic fields

AU - Huang, Zhen

AU - Kais, Sabre

PY - 2006/3/2

Y1 - 2006/3/2

N2 - We study the dynamics of entanglement for a one-dimensional spin system, where spins are coupled through nearest-neighbor exchange interaction and subject to different external magnetic fields. First we examine the system size effect on the entanglement with three different external magnetic fields changing with time t: an exponential function e[-Kt] and two periodic sin[Kt] and cos[Kt] functions, where K is a control parameter. We have found that the entanglement fluctuates shortly after a disturbance by an external magnetic field when the system size is small. For larger system size, the entanglement reaches a stable state for a long time before it fluctuates. However, this fluctuation of entanglement disappears when the system size goes to infinity. We also show that in a periodic external magnetic field, the nearest-neighbor entanglement displays a periodic structure with a period related to that of the magnetic field. Moreover, changing the direction of the magnetic field will destroy the concurrence in the system.

AB - We study the dynamics of entanglement for a one-dimensional spin system, where spins are coupled through nearest-neighbor exchange interaction and subject to different external magnetic fields. First we examine the system size effect on the entanglement with three different external magnetic fields changing with time t: an exponential function e[-Kt] and two periodic sin[Kt] and cos[Kt] functions, where K is a control parameter. We have found that the entanglement fluctuates shortly after a disturbance by an external magnetic field when the system size is small. For larger system size, the entanglement reaches a stable state for a long time before it fluctuates. However, this fluctuation of entanglement disappears when the system size goes to infinity. We also show that in a periodic external magnetic field, the nearest-neighbor entanglement displays a periodic structure with a period related to that of the magnetic field. Moreover, changing the direction of the magnetic field will destroy the concurrence in the system.

UR - http://www.scopus.com/inward/record.url?scp=33344469140&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33344469140&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.73.022339

DO - 10.1103/PhysRevA.73.022339

M3 - Article

AN - SCOPUS:33344469140

VL - 73

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 2

M1 - 022339

ER -