In quantum metrology, nonlinear many-body interactions can enhance the precision of Hamiltonian parameter estimation to surpass Heisenberg scaling. Here, we consider interaction strength in linear systems with long-range and using Kitaev chains as a case study, establish transition from super-Heisenberg scaling Fisher information by varying range. We further show that control improve prefactor ...

Magneto-inertial fusion concepts, such as the magnetized liner inertial (MagLIF) platform [M. R. Gomez et al., Phys. Rev. Lett. 113, 155003 (2014)], constitute an alternative path for achieving ignition and significant yields in laboratory. The space of experimental input parameters defining a MagLIF load is highly multi-dimensional, implosion itself complex event involving many physical proces...

We extend our previous analysis of a model for "dark energy" based on Weyl scaling invariant dark energy action. reexpress all prior results in terms proper time, using the fluctuation amplitude $\Phi$ without approximation, and derive compact formula squared effective Hubble parameter. This involves matter densities that differ from their expressions standard $\Lambda CDM$ cosmology. also give...

To improve the efficiency of cargo handling with cranes it is necessary to control the crane trolley position so that the swing of the hanging load is minimized. In this paper we consider a linear parameter-varying model of the crane, where the time-varying parameter is the length of the suspending rope. We consider the set of models given by frozen values of the rope length and show how all th...

Background/Introduction: The Zipf’s law establishes that if the words of a (large) text are ordered by decreasing frequency, the frequency versus the rank decreases as a power law with exponent close to -1. Previous work has stressed that this pattern arises from a conflict of interests of the participants of communication: speakers and hearers. • Methods: The challenge here is to define a comp...

Phase transitions in constraint satisfaction problems (CSP's) are the subject of intense study. We identify a control parameter for random binary CSP's. There is a rapid transition in the probability of a CSP having a solution at a critical value of this parameter. This parameter allows diierent phase transition behaviour to be compared in an uniform manner, for example CSP's generated under di...