Nonlinear excitations on a quantum ferromagnetic chain

Balakrishnan, Radha; Bishop, A. R.

doi:10.1103/physrevlett.55.537

Cited by 46 publications

(30 citation statements)

References 14 publications

(4 reference statements)

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“…It has been known for some time that there is difficulty in defining a momentum density for the ferromagnet [64]. The momentum density must generate the coordinate transformation δr = −δ(r), δϕ a = δ · ∇ϕ a , The second equality follows from the first with (D.2) and (7.3.3).…”

Section: Fluids and Ferromagnetsmentioning

confidence: 96%

Perfect fluid theory and its extensions

Jackiw¹,

Nair²,

Pi³

et al. 2004

J. Phys. A: Math. Gen.

171

255

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We review the canonical theory for perfect fluids, in Eulerian and Lagrangian formulations. The theory is related to a description of extended structures in higher dimensions. Internal symmetry and supersymmetry degrees of freedom are incorporated. Additional miscellaneous subjects that are covered include physical topics concerning quantization, as well as mathematical issues of volume preserving diffeomorphisms and representations of Chern-Simons terms (= vortex or magnetic helicity).

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Section: Fluids and Ferromagnetsmentioning

confidence: 96%

Perfect fluid theory and its extensions

Jackiw¹,

Nair²,

Pi³

et al. 2004

J. Phys. A: Math. Gen.

171

255

View full text Add to dashboard Cite

show abstract

“…Thus, we only need to consider the diagonal part of Eq. (15), which are enough to describe the nonlinear dynamics without any help of off-diagonal elements. The p-representation of non-linear equations (15) reads…”

Section: Continuum Field Approach For Nonlinear Collective Excitamentioning

confidence: 99%

“…Generally there are two major approaches to theoretically study the solitary excitation in the one-dimension (1D) Heisenberg chain [11,12,13,14,15,16,17,18,19]. 1) each spin is represented as a Bloch vector, and a solitary excitation is found by investigating the nonlinear dynamics of this classical variable [12,13].…”

Section: Introductionmentioning

confidence: 99%

“…2) Another procedure is to employ the boson mappings of spin operators via the Holstein-Primakoff transformation and Jordan-Schwinger realization [10]. By making use of the spincoherent-state representation, a solvable nonlinear differential equation can be deduced from the Heisenberg equation for the mapping boson operators, therefore a solitary excitation is implied in the system [14,15,16,17,18,19].…”

Section: Introductionmentioning

confidence: 99%

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Controlling soliton excitations in Heisenberg spin chains through the magic angle

Zhou²,

Kuang³

et al. 2009

Phys. Rev. E

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We study the nonlinear dynamics of collective excitation in an N -site XXZ quantum spin chain, which is manipulated by an oblique magnetic field. We show that, when the tilted field is applied along the magic angle, theta_{0}=+/-arccossqrt[13] , the anisotropic Heisenberg spin chain becomes isotropic and thus an freely propagating spin wave is stimulated. Also, in the regime of tilted angles larger and smaller than the magic angle, two types of nonlinear excitations appear: bright and dark solitons.

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“…Nonlinear physics in periodic lattices is rich and fascinating in several branches, from biology [1] to solid state physics [2], ferromagnetism [3], and Bose-Einstein condensates [4]. In optics, spatial solitons (SS), i.e., selfguiding light filaments, are one of the most intriguing outcomes of nonlinearity [5,6] and a frontier in periodic systems [7].…”

mentioning

confidence: 99%