Strongly coupled quantum and classical systems and Zeno's effect

Extreme Quantum Advantage when Simulating Strongly Coupled Classical Systems

Classical stochastic processes can be generated by quantum simulators instead of the more standard classical ones, such as hidden Markov models. One reason for using quantum simulators is that they generally require less memory than their classical counterparts. Here, we examine this quantum advantage for strongly coupled spin systems—the Dyson-like one-dimensional Ising spin chain with variabl...

Quantum and classical resonances for strongly trapping systems

Resonances are one of the most studied objects in physics, and in quantum mechanics they describe states which in addition to a rest energy have a rate of decay. A mathematical example is given by the zeros of the Riemann zeta function which are the resonances of the quantum Hamiltonian given by the Laplacian on the modular surface. The term "resonance" comes from the analogy with "a bell sound...

Designing a hybrid quantum controller for strongly eigenstate controllable systems

 In this paper, a new quantum hybrid controller for controlling the strongly eigenstate controllable systems, is designed. For this purpose, a Lyapunov control law is implemented when the target state is in reachable set of the initial state. On the other hand, if the target state is not in the reachable set of the given initial state, based on Grover algorithm, a new interface state that the t...

Strongly coupled quantum field theory

We analyze numerically a two-dimensional λφ theory showing that in the limit of a strong coupling λ → ∞ just the homogeneous solutions for time evolution are relevant in agreement with the duality principle in perturbation theory as presented in [M.Frasca, Phys. Rev. A 58, 3439 (1998)], being negligible the contribution of the spatial varying parts of the dynamical equations. A consequence is t...

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