New soliton solutions of Heisenberg ferromagnetic spin chain model

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.

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Solitons and complexitons to the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain model

International Journal of Modern Physics B ◽

10.1142/s0217979219503685 ◽

2019 ◽

Vol 33 (30) ◽

pp. 1950368

Author(s):

Aliyu Isa Aliyu ◽

Yongjin Li ◽

Mustafa Inc ◽

Dumitru Baleanu ◽

Ali S. Alshomrani

Keyword(s):

Spin Chain ◽

Spin Dynamics ◽

Physical Structure ◽

Optical Solitons ◽

Singular Solutions ◽

Chain Model ◽

Heisenberg Ferromagnetic Spin Chain ◽

Spin Chain Model ◽

Graphic Illustration ◽

Modified Formula

This paper investigates the ([Formula: see text])-dimensional Heisenberg ferromagnetic spin chain (HMF) model. The model describes the nonlinear spin dynamics of HMF. By adopting the modified [Formula: see text]-Expansion and projective Riccati equation methods, we report the dark, combined dark-bright and envelope optical solitons, complexitons singular solutions of the equation along with the conditions that must be satisfied for solitons to exist. The physical structure of the obtained solutions are shown by graphic illustration in order to give a better understanding on the dynamics of optical solitons.

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

Nuclear Physics B ◽

10.1016/j.nuclphysb.2020.115206 ◽

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

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

Modern Physics Letters A ◽

10.1142/s0217732320502442 ◽

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.

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Dark solitons, Lax pair and infinitely-many conservation laws for a generalized (2+1)-dimensional variable-coefficient nonlinear Schrödinger equation in the inhomogeneous Heisenberg ferromagnetic spin chain

Modern Physics Letters B ◽

10.1142/s0217984917500130 ◽

2017 ◽

Vol 31 (03) ◽

pp. 1750013 ◽

Cited By ~ 2

Author(s):

Xue-Hui Zhao ◽

Bo Tian ◽

De-Yin Liu ◽

Xiao-Yu Wu ◽

Jun Chai ◽

...

Keyword(s):

Conservation Laws ◽

Spin Chain ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Lax Pair ◽

Nonlinear Schrodinger Equation ◽

Dark Solitons ◽

Heisenberg Ferromagnetic Spin Chain ◽

Dimensional Variable

Under investigation in this paper is a generalized (2+1)-dimensional variable-coefficient nonlinear Schrödinger equation in an inhomogeneous Heisenberg ferromagnetic spin chain. Lax pair and infinitely-many conservation laws are derived, indicating the existence of the multi-soliton solutions for such an equation. Via the Hirota method with an auxiliary function, bilinear forms, dark one-, two- and three-soliton solutions are derived. Propagation and interactions for the dark solitons are illustrated graphically: Velocity of the solitons is linearly related to the coefficients of the second- and fourth-order dispersion terms, while amplitude of the solitons does not depend on them. Interactions between the two solitons are shown to be elastic, while those among the three solitons are pairwise elastic.

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

Physical Review A ◽

10.1103/physreva.95.043630 ◽

2017 ◽

Vol 95 (4) ◽

Cited By ~ 18

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

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The open XXZ spin chain model and the topological basis realization

International Journal of Quantum Information ◽

10.1142/s0219749916500180 ◽

2016 ◽

Vol 14 (03) ◽

pp. 1650018 ◽

Cited By ~ 1

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.

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