We study a quantum spin glass as a quantum spin system with random interactions and
establish the existence of a family of evolution groups {τ t (ω)} ω∈/Ω of the spin system. The …

Recently, Keating, Linden, and Wells [Markov Processes Relat. Fields 21 (3), 537-555
(2015)] showed that the density of states measure of a nearest-neighbor quantum spin glass …

We study the set of KMS states of spin systems with random interactions. This is done in the
framework of operator algebras by investigating Connes and Borchers Γ–invariants of W …

We characterize a class of quantum Markov states in terms of a locality property of their
modular automorphism group or, equivalently, of their φ-conditional expectations and we …

The aim of this talk is to provide examples for the theory of (a class of) quantum stochastic
processes presented by JT Lewis in this issue [1]. It is not difficult to construct examples of …

We consider Ising spin glasses on Z d with couplings J xy= cy− x Z xy, where the cy's are
nonrandom real coefficients and the Z xy's are independent, identically distributed random …

We discuss some recent results connected with the properties of temperature states of
quantum disordered systems. This analysis falls within the natural framework of operator …

Random Spin Systems with Long-Range Interactions Page 1 Random Spin Systems with
Long-Range Interactions Boguslaw Zegarlinski Abstract We present the state of the matter for …

Let (, S, P) be a probability space, T:→ be a measure preserving map, ie, T− 1 (A)∈ S and P
(T− 1 (A))= P (A) for any A∈ S. Let ξ:→ R be an integrable random variable with the mean …

The evolution of a quantum system characterized by a dynamical group G and subjected to
random interactions can be reduced, through the use of the generalized coherent states …