In recent work a class of quasi port Hamiltonian system expressing the first and second principle of thermodynamics as a structural property has been defined: Irreversible port-Hamiltonian system. These systems are very much like port-Hamiltonian systems but differ in that their structure matrices are modulated by a non-linear function that precisely expresses the irreversibility of the system....

We study entanglement and squeezing of a cluster of spin systems under the influence of the two-axis countertwisting Hamiltonian. The squeezing parameters given by Wineland et al and also by Kitagawa et al. are chosen as the criteria of spin squeezing. The criterion of pairwise entanglement is chosen to be the concurrence and that of the bipartite entanglement the linear entropy. We also define...

In this paper, we show that a Z2-equivariant 3rd-order Hamiltonian planar vector fields with 3rd-order symmetric perturbations can have at least 10 limit cycles. The method combines the general perturbation to the vector field and the perturbation to the Hamiltonian function. The Melnikov function is evaluated near the center of vector field, as well as near homoclinic and heteroclinic orbits. ...

This paper presents a global optimization approach to solving linear non-quadratic optimal control problems. The main work is to construct a differential flow for finding a global minimizer of the Hamiltonian function over a Euclid space. With the Pontryagin principle, the optimal control is characterized by a function of the adjoint variable and is obtained by solving a Hamiltonian differentia...

We provide a detailed calculation, and description of the quench and probe protocol described in the letter. The protocol described in letter consists of the following steps: (1) prepare the state in the ground state of some Hamiltonian |ψ0〉; (2) at t = 0 quench a parameter in that Hamiltonian; (3) pulse the evolved wave function at t = t1 (called |ψ1〉) by letting k → k − eA; and (4) measure Ha...

The notion of the nth order local energy, generated by power Hamiltonian, has been introduced. two-particle coalescence conditions have derived from requirements that energy at point is non-singular and equal to Hamiltonian eigenvalue. first condition leads energy-independent constraints. second one state-specific. analysis done using a radial, one-dimensional, model Hamiltonian. valid in asymp...

We take a Hamiltonian-based perspective to generalize Nesterov's accelerated gradient descent and Polyak's heavy ball method broad class of momentum methods in the setting (possibly) constrained minimization Euclidean non-Euclidean normed vector spaces. Our leads generic unifying nonasymptotic analysis convergence these both function value (in convex optimization) norm unconstrained, possibly n...

The energy-optimal migration of a chaotic oscillator from one attractor to another coexisting attractor is investigated via an analogy between the Hamiltonian theory of fluctuations and Hamiltonian formulation of the control problem. We demonstrate both on physical grounds and rigorously that the Wentzel-Freidlin Hamiltonian arising in the analysis of fluctuations is equivalent to Pontryagin’s ...

The beta function of a two-dimensional massless Dirac Hamiltonian subject to a random scalar potential, which, e.g., underlies theoretical descriptions of graphene, is computed numerically. Although it belongs to, from a symmetry standpoint, the two-dimensional symplectic class, the beta function monotonically increases with decreasing conductance. We also provide an argument based on the spect...