Vlasov–Maxwell equations with spin effects

Difference Equations in Spin Chains with a Boundary

Correlation functions and form factors in vertex models or spin chains are known to satisfy certain difference equations called the quantum Knizhnik-Zamolodchikov equations. We find similar difference equations for the case of semi-infinite spin chain systems with integrable boundary conditions. We derive these equations using the properties of the vertex operators and the boundary vacuum state...

Mean-Field Equations for Spin Models with Orthogonal Interaction Matrices

We study the metastable states in Ising spin models with orthogonal interaction matrices. We focus on three realizations of this model, the random case and two non-random cases, i.e. the fully-frustrated model on an innnite dimensional hypercube and the so-called sine-model. We use the mean-eld (or tap) equations which we derive by resuming the high-temperature expansion of the Gibbs free energ...

Simulating spin-boson dynamics with stochastic Liouville-von Neumann equations ⋆

Based on recently derived exact stochastic Liouville-von Neumann equations, several strategies for the efficient simulation of open quantum systems are developed and tested on the spin-boson model. The accuracy and efficiency of these simulations is verified for several test cases including both coherent and incoherent dynamics, involving timescales differing by several orders of magnitude. Usi...

Spin drag and transport equations in systems with spin-polarized currents

Dyson’s equations for the (Ising) spin-glass

A complex problem is solved herej we show how to write Dyson's equations for trie (Ising) spin-glass that relate the propagator G ta trie mass operator M. In other words we are able to reduce trie inversion of an ultrametric matrix M to the solution of a Dyson's equation in ail sectors (for the replicon sectcr trie result had already been derived). It turns oui that what renders the problem tra...