Stabilization of Two-dimensional Quantum Spin Systems Despite Estimation Delay

Quantum nanostructures in strongly spin-orbit coupled two- dimensional systems

Finite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay

In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...

Quantum deformation of two four-dimensional spin foam models

We construct the q-deformed version of two four-dimensional spin foam models, the Euclidean and Lorentzian versions of the EPRL model. The q-deformed models are based on the representation theory of two copies of Uq(su(2)) at a root of unity and on the quantum Lorentz group with a real deformation parameter. For both models we give a definition of the quantum EPRL intertwiners, study their conv...

Phase diagrams of one-, two-, and three-dimensional quantum spin systems

We study the bipartite entanglement per bond to determine characteristic features of the phase diagram of various quantum spin models in different spatial dimensions. The bipartite entanglement is obtained from a tensor network representation of the ground state wave-function. Three spin-1/2 models (Ising, XY, XXZ, all in a transverse field) are investigated. Infinite imaginary-time evolution (...

Hybrid Output Feedback Stabilization of Two-Dimensional Linear Control Systems

In the present paper, we solve for two-dimensional SISO linear control systems the open problem whether there exists nite-state hybrid output feedback to stabilize the systems. We show that under reasonable assumptions, such as stabilizability and detectability conditions, the answer to this question is aarmative for the case of 2-state output feedback. We also address a simulation procedure to...