scholarly journals Semiclassical Modeling of Isotropic Non-Heisenberg Magnets for Spin and Linear Quadrupole Excitation Dynamics

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Yousef Yousefi ◽  
Khikmat Kh. Muminov
Keyword(s):  
Wave Equation ◽  
Spin Wave ◽  
Ground State ◽  
Coherent States ◽  
Heisenberg Model ◽  
One Dimensional ◽  
Optical Branch ◽  
Quadrupole Excitation ◽  
Generalized Coherent States ◽  
Excitation Dynamics

Equations describing one-dimensional non-Heisenberg model are studied by use of generalized coherent states in real parameterization, and then dissipative spin wave equation for dipole and quadrupole branches is obtained if there is a small linear excitation from the ground state. Finally, it is shown that for such exchange-isotropy Hamiltonians, optical branch of spin wave is nondissipative.

scholarly journals Semiclassical Description of Anisotropic Magnets for Spin

2012 ◽  
Vol 2012 ◽  
pp. 1-3 ◽  
Author(s):  
Khikmat Muminov ◽  
Yousef Yousefi
Keyword(s):  
Wave Equation ◽  
Spin Wave ◽  
Nonlinear Equations ◽  
Ground State ◽  
Coherent States ◽  
One Dimensional ◽  
Generalized Coherent States

Nonlinear equations describing one-dimensional non-Heisenberg ferromagnetic model are studied by the use of generalized coherent states in a real parameterization. Also, dissipative spin wave equation for dipole and quadruple branches is obtained if there is a small linear excitation from the ground state.

The Heisenberg model: Classical ground state and bilinear spin-wave theory

Physica B+C ◽  
1982 ◽  
Vol 112 (2) ◽  
pp. 147-187 ◽  
Author(s):  
C.A.M. Mulder ◽  
H.W. Capel ◽  
J.H.H. Perk
Keyword(s):  
Spin Wave ◽  
Ground State ◽  
Heisenberg Model ◽  
Wave Theory ◽  
Spin Wave Theory

Ground state of the one-dimensional antiferromagnetic Heisenberg model

1985 ◽  
Vol 31 (3) ◽  
pp. 1590-1599 ◽  
Author(s):  
J. Borysowicz ◽  
T. A. Kaplan ◽  
P. Horsch
Keyword(s):  
Ground State ◽  
Heisenberg Model ◽  
One Dimensional ◽  
Antiferromagnetic Heisenberg Model ◽  
The One

PERELOMOV AND BARUT–GIRARDELLO SU(1, 1) COHERENT STATES FOR HARMONIC OSCILLATOR IN ONE-DIMENSIONAL HALF SPACE

2006 ◽  
Vol 21 (12) ◽  
pp. 2635-2644 ◽  
Author(s):  
Q. H. LIU ◽  
H. ZHUO
Keyword(s):  
Coherent State ◽  
Harmonic Oscillator ◽  
Half Space ◽  
Ground State ◽  
Classical Limit ◽  
Coherent States ◽  
Mean Values ◽  
One Dimensional ◽  
The Mean

The Perelomov and the Barut–Girardello SU(1, 1) coherent states for harmonic oscillator in one-dimensional half space are constructed. Results show that the uncertainty products ΔxΔp for these two coherent states are bound from below [Formula: see text] that is the uncertainty for the ground state, and the mean values for position x and momentum p in classical limit go over to their classical quantities respectively. In classical limit, the uncertainty given by Perelomov coherent does not vanish, and the Barut–Girardello coherent state reveals a node structure when positioning closest to the boundary x = 0 which has not been observed in coherent states for other systems.

scholarly journals FINITE-SIZE SPIN-WAVE THEORY OF A COLLINEAR ANTIFERROMAGNET

2003 ◽  
Vol 17 (27) ◽  
pp. 4819-4829 ◽  
Author(s):  
LUCA CAPRIOTTI
Keyword(s):  
Spin Wave ◽  
Ground State ◽  
Heisenberg Model ◽  
Order Parameter ◽  
Finite Size ◽  
Wave Theory ◽  
Spin Wave Theory ◽  
Scattering Measurements ◽  
Magnetic Structure Factor ◽  
Remarkable Agreement

The ground-state and low-energy properties of the two-dimensional J1-J2 Heisenberg model in the collinear phase are investigated using finite-size spin-wave theory [Q. F. Zhong and S. Sorella, Europhys. Lett.21, 629 (1993)], and Lanczos exact diagonalizations. For spin one-half — where the effects of quantization are the strongest — the spin-wave expansion turns out to be quantitatively accurate for J2/J1≳0.8. In this regime, both the magnetic structure factor and the spin susceptibility are very close to the spin-wave predictions. The spin-wave estimate of the order parameter in the collinear phase, m†≃0.3, is in remarkable agreement with recent neutron scattering measurements on Li 2 VOSiO 4.

scholarly journals Unitary Representations of Quantum Superpositions of Two Coherent States and Beyond

2013 ◽  
Vol 20 (03) ◽  
pp. 1340004 ◽  
Author(s):  
Antonino Messina ◽  
Gheorghe Drăgănescu
Keyword(s):  
Ground State ◽  
Coherent States ◽  
Ad Hoc ◽  
Unitary Operators ◽  
Quantum Harmonic Oscillator ◽  
Fock States ◽  
Potential Development ◽  
Generalized Coherent States ◽  
Definition Of ◽  
Natural Way

The construction of a class of unitary operators generating linear superpositions of generalized coherent states from the ground state of a quantum harmonic oscillator is reported. Such a construction, based on the properties of a new ad hoc introduced set of hermitian operators, leads to the definition of new basis in the oscillator Hilbert space, extending in a natural way the displaced Fock states basis. The potential development of our method and our results are briefly outlined.

Thermally corrected solutions of the one-dimensional wave equation for the laser-induced ultrasound

2021 ◽  
Vol 130 (2) ◽  
pp. 025104
Author(s):  
Misael Ruiz-Veloz ◽  
Geminiano Martínez-Ponce ◽  
Rafael I. Fernández-Ayala ◽  
Rigoberto Castro-Beltrán ◽  
Luis Polo-Parada ◽  
...  
Keyword(s):  
Wave Equation ◽  
One Dimensional ◽  
The One ◽  
Dimensional Wave

scholarly journals Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Przemysław Kościk ◽  
Arkadiusz Kuroś ◽  
Adam Pieprzycki ◽  
Tomasz Sowiński
Keyword(s):  
Boundary Conditions ◽  
Ground State ◽  
Pair Correlation ◽  
Contact Interactions ◽  
One Dimensional ◽  
Particle Correlations ◽  
Variational Scheme ◽  
Full Control ◽  
Arbitrary Shapes

AbstractWe derive and describe a very accurate variational scheme for the ground state of the system of a few ultra-cold bosons confined in one-dimensional traps of arbitrary shapes. It is based on assumption that all inter-particle correlations have two-body nature. By construction, the proposed ansatz is exact in the noninteracting limit, exactly encodes boundary conditions forced by contact interactions, and gives full control on accuracy in the limit of infinite repulsions. We show its efficiency in a whole range of intermediate interactions for different external potentials. Our results manifest that for generic non-parabolic potentials mutual correlations forced by interactions cannot be captured by distance-dependent functions.

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