The quantum speed limit time of a two-qubit XYZ spin chain with intrinsic decoherence

2020 ◽  
Vol 35 (29) ◽  
pp. 2050244
Author(s):  
Lu Hou ◽  
Bin Shao ◽  
Yuguang Zhu
Keyword(s):  
Magnetic Field ◽  
Spin Chain ◽  
Quantum Correlation ◽  
Speed Limit ◽  
Chain Model ◽  
Intrinsic Decoherence ◽  
Physical Reason ◽  
Limit Time ◽  
Spin Chain Model ◽  
Initial States

We study the quantum speed limit (QSL) time of the two-qubit XYZ spin chain model with the influence of intrinsic decoherence. We show that the intrinsic decoherence can suppress the evolution of this system, no matter what initial states the two qubits start from. The investigation of entanglement reveals that quantum correlation is the physical reason for the acceleration of the system. In addition, we also demonstrate that for different initial states, external magnetic field may have opposite influence on QSL time and it mainly derives from the inhibition of entanglement as magnetic field increases.

Exact dynamics in the Haldane–Shastry spin chain model in magnetic field

2000 ◽  
Vol 281-282 ◽  
pp. 823-824 ◽  
Author(s):  
M. Arikawa ◽  
Y. Saiga ◽  
T. Yamamoto ◽  
Y. Kuramoto
Keyword(s):  
Magnetic Field ◽  
Spin Chain ◽  
Chain Model ◽  
Spin Chain Model

SOLITONS AND OTHER SOLUTIONS FOR THE (2+1)-DIMENSIONAL HEISENBERG FERROMAGNETIC SPIN CHAIN EQUATION USING IMPROVED MODIFIED EXTENDED TANH-FUNCTION METHOD

2021 ◽  
Vol 10 (11) ◽  
pp. 3491-3504
Author(s):  
A. Darwish ◽  
H.M. Ahmed ◽  
M. Ammar ◽  
M.H. Ali ◽  
A.H. Arnous
Keyword(s):  
Periodic Solutions ◽  
Exponential Function ◽  
Spin Chain ◽  
Function Method ◽  
Chain Model ◽  
Bright Solitons ◽  
Dark Solitons ◽  
Heisenberg Ferromagnetic Spin Chain ◽  
Spin Chain Model ◽  
Chain Equation

This paper studies $(2 + 1)$-dimensional Heisenberg ferromagnetic spin chain model by using improved modified extended tanh-function method. Various types of solutions are extracted such as bright solitons, singular solitons, dark solitons, singular periodic solutions, Weierstrass elliptic periodic type solutions and exponential function solutions. Moreover, some of the obtained solutions are represented graphically.

scholarly journals Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundaries

2020 ◽  
Vol 960 ◽  
pp. 115206
Author(s):  
Xiaotian Xu ◽  
Junpeng Cao ◽  
Yi Qiao ◽  
Wen-Li Yang ◽  
Kangjie Shi ◽  
...  
Keyword(s):  
Bethe Ansatz ◽  
Spin Chain ◽  
Chain Model ◽  
Spin Chain Model ◽  
Bethe Ansatz Solution

scholarly journals Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures

2017 ◽  
Vol 95 (4) ◽  
Author(s):  
F. Deuretzbacher ◽  
D. Becker ◽  
J. Bjerlin ◽  
S. M. Reimann ◽  
L. Santos
Keyword(s):  
Spin Chain ◽  
Chain Model ◽  
One Dimensional ◽  
Strongly Interacting ◽  
Spin Chain Model

The open XXZ spin chain model and the topological basis realization

2016 ◽  
Vol 14 (03) ◽  
pp. 1650018 ◽  
Author(s):  
Qingyong Wang ◽  
Yangyang Du ◽  
Chunfeng Wu ◽  
Gangcheng Wang ◽  
Chunfang Sun ◽  
...  
Keyword(s):  
Spin Chain ◽  
Boundary Term ◽  
Chain Model ◽  
Topological Parameter ◽  
Xxz Chain ◽  
Spin Chain Model

In this paper, it is shown that the Hamiltonian of the open spin-1 XXZ chain model can be constructed from the generators of the Birman–Murakami–Wenzl (B–M–W) algebra. Without the topological parameter d (describing the unknotted loop [Formula: see text] in topology) reducing to a fixed value, the topological basis states can be connected with the open XXZ spin chain. Then some particular properties of the topological basis states in this system have been investigated. We find that the topological basis states are the three eigenstates of a four-spin-1 XXZ chain model without boundary term. Specifically, all the spin single states of the system fall on the topological basis subspace. And the number of the spin single states of the system is equal to that of the topological basis states.

scholarly journals Entanglement of thermal state of quantum annealing processor

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 325-332
Author(s):  
Abdel-Haleem Abdel-Aty ◽  
Ahmad Khedr ◽  
Amr Youssef ◽  
Yasser Saddeek
Keyword(s):  
Quantum Correlation ◽  
Thermal State ◽  
Quantum Correlations ◽  
Chain Model ◽  
Spin Orbit Coupling ◽  
Coupling Constant ◽  
Quantum Annealing ◽  
System Parameters ◽  
Spin Chain Model ◽  
System Nodes

We investigate the dynamics of quantum correlations between the quantum annealing processor nodes. The quantum annealing processor is simulated by spin-chain model. It is assumed that system started from the thermal state. The Hamiltonian of the system is mathematically designed and analytically solved. The properties of the system are investigated. Negativity is used to investigate the dynamics of quantum correlation between the system nodes. The effect of the system parameters (spin-orbit coupling, coupling constant, and bias parameter) on the dynamics of negativity is explored. Results showed that the coupling constant had a great effect in the dynamics of the quantum correlation.

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