Author: Robert Lambertus HagemansPublisher:
ISBN:
Category :
Languages : en
Pages : 149
Book Description
Dynamics of Heisenberg Spin Chains
Author: Robert Lambertus HagemansPublisher:
ISBN:
Category :
Languages : en
Pages : 149
Book Description
Dynamics of an Oscillating Classical Heisenberg Spin Chain
Author: Evan W. BrandDynamics of the Classical Heisenberg Spin Chain
Author: John A. G. RobertsPublisher:
ISBN: 9780868399850
Category : Differential equations, Nonlinear
Languages : en
Pages : 19
Book Description
A Quantum Theory for Ferromagnetic and Antiferromagnetic Heisenberg Spin Chains at Low Temperatures
Author: Kenneth Charles StuartPublisher:
ISBN:
Category : Antiferromagnetism
Languages : en
Pages : 382
Book Description
Quantum Chaos and Entanglement in Spin-chains
Author: Thomas Orlando BonessEntanglement Dynamics in the Heisenberg Antiferromagnetic Spin Chain Model
Author: Spencer Ambrose SmithPublisher:
ISBN:
Category :
Languages : en
Pages : 92
Book Description
Entanglement in an Open Heisenberg Spin Chain
Author: Subhendu PaulPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
We analyze the time evolution of a spin chain of three qubits with nearest-neighbour Heisenberg XX interaction, coupled to two thermal reservoirs. We use the 'reduced density matrix approach' to calculate the populations and correlations (concurrence) among the spins. The spin-reservoir interaction is of the energy conserving type. This allows us to analyze the evolution analytically without approximations - yielding explicit, yet complicated formulas for the spin dynamics. To analyze the latter and discuss it as a function of the various physical parameters and time (intial conditions, termperatures, coupling strenghts), we resort to numerical methods. Our main finding is that the external noise (coupling to reservoirs) causes the appearence of an asymptotic, stationary (time-periodic) regime for the dynamics of concurrence. We discuss the dependence of the relaxation time and the characteristics of the regime itself, on the various parameters.
Quantum Chaos and Entanglement in Spin-chains
Author: T. O. BonessDynamics of Quantum Spin Chains from Integrability
Author: Rogier Pieter VlijmPublisher:
ISBN: 9789402802900
Category :
Languages : en
Pages : 207
Book Description
"The study of several quantum magnetic phenomena in this thesis is driven by the experimental realizability of quantum spin chain models of one-dimensional magnetism. The theoretical models employed to study these physical phenomena are integrable quantum spin chains, in particular the anisotropic Heisenberg spin-1/2 model and the Babujan-Takhtajan spin-1 model, while additional (non-)integrable magnetic potentials or spin-spin interactions are considered as well. The dynamics of spin chains are computationally accessible by numerically summing up large amounts of matrix elements of local spin operators between eigenstates of the quantum integrable spin models in a parallelized fashion. The availability of matrix element expressions from quantum integrability constitutes an important connection between the deep mathematical structure of integrable spin chains and experimentally measurable local observables and correlations on magnetic systems. By the aforementioned integrability based method, the dynamics of quasi-particles of quantum spin chains can be assessed. In particular, the scattering effects of bound magnons, the time evolution of spinons, and time-evolution with additional integrability-breaking spin-spin interactions are computed and visualized. Moreover, for several cases the dynamical structure factor is computed, which is relevant to inelastic neutron scattering experiments. Extensions to correlations away from the ground state are investigated, providing opportunities of studying thermal correlations as well."--Samenvatting auteur.
Nonlinear Dynamics
Author: M. DanielPublisher: Alpha Science Int'l Ltd.
ISBN: 9788173193262
Category : Mathematics
Languages : en
Pages : 490
Book Description
Contributed articles presented at the International Conference on Nonlinear Dynamics: Integrability and Chaos held at Bharathidasan University during 12-16 Feb., 1998. In honor of Prof. M. Lakshmanan.