Entanglement Dynamics of a Two-qubit XYZ Spin Chain Under both Dzyaloshinskii-Moriya Interaction and Time-dependent Anisotropic Magnetic Field

2020 ◽  
Author(s):  
Tchoffo Martin ◽  
Tene Alain Giresse
Keyword(s):  
Magnetic Field ◽  
Spin Chain ◽  
Time Dependent ◽  
Entanglement Dynamics ◽  
Moriya Interaction

QUANTUM INFORMATION TRANSFER IN A TWO-PARALLEL SPIN-CHAIN CHANNEL WITH INTERNAL AND EXTERNAL EFFECTS

2010 ◽  
Vol 24 (10) ◽  
pp. 1279-1288 ◽  
Author(s):  
JIA LIU ◽  
GUO-FENG ZHANG ◽  
ZI-YU CHEN
Keyword(s):  
Magnetic Field ◽  
Spin Chain ◽  
Information Transfer ◽  
Initial Condition ◽  
Spin Orbit Coupling ◽  
Entanglement Sudden Death ◽  
External Effects ◽  
Perfect Transfer ◽  
Entanglement Transfer ◽  
Moriya Interaction

With the effects of Dzialoshinski–Moriya interaction and external magnetic field, the entanglement transfer has been investigated in a parallel spin-chain system. Our results imply that the perfect transfer can be realized at some special times, and the transfer time can be greatly condensed with the rising of the spin-orbit coupling strength. The entanglement sudden death phenomenon is sensitive to the initial condition. In addition, due to the application of magnetic field on the channel spins, the reliability and efficiency of the transmission are greatly challenged.

LOSCHMIDT ECHO OF A CENTRAL SPIN COUPLED TO AN XY SPIN CHAIN WITH DZYALOSHINSKY–MORIYA INTERACTION

2011 ◽  
Vol 25 (08) ◽  
pp. 589-597 ◽  
Author(s):  
HAN LI LIAN ◽  
DONG PING TIAN
Keyword(s):  
Magnetic Field ◽  
Spin Chain ◽  
Anisotropy Parameter ◽  
Dm Interaction ◽  
Local Oscillation ◽  
Knee Point ◽  
Xy Spin Chain ◽  
Loschmidt Echo ◽  
Evolution Behavior ◽  
Moriya Interaction

By introducing the Dzyaloshinsky–Moriya (DM) interaction, the Loschmidt Echo (LE) of a quantum system consisting of a central spin and its surrounding environment characterized by an XY spin chain was investigated. The analytical expression of the LE was obtained. The effects of magnetic field, DM interaction, spin chain size, and anisotropy parameter on the evolution behavior of the LE were discussed numerically. At the critical points of magnetic field, the LE presents an obvious decay following with local oscillation. The decaying and oscillation behavior of the LE can be tuned by the intensity of the DM interaction. With increasing the spin chain size, the decaying amplitude is increased and the following oscillation behavior vanishes for the spin chain with larger size. The effect of the anisotropy parameter on the LE presents different properties at both sides of the knee point. The effect of the DM interaction on the decay of the LE is also related to the value of anisotropy parameter.

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