Analysis of the multi-phenomenal nonlinear system : Testing Integrability and detecting chaos by Mohamed Benkhali, Jaouad Kharbach, Zakia Hammouch, Walid Chatar, Mohammed El Ghamari, Abdellah Rezzouk, Mohammed Ouazzani-Jamil

“…This system provides an explanation for a number of problems with Hamiltonian dynamics. Integrability is evaluated in the Painlevé sense of the system. …”
Get full text

Expanding the capabilities of normalizing flows in deep generative models and variational inference by Caterini, AL

“…The first work focuses on the setting of variational inference, defining a normalizing flow based on a discretized time-inhomogeneous Hamiltonian dynamics over an extended position-momentum space. …”

Piecewise-deterministic Markov chain Monte Carlo by Vanetti, P

“…Based on these conditions, we show how the flow can be extended to Hamiltonian dynamics when exactly computable. For the event kernel, we demonstrate that a simple factorization of the invariant distribution subsumes all existing kernels and allows new kernels to be easily derived.…”

Quantum information processing in continuous time by Childs, Andrew MacGregor, 1977-

Get full text

Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories by Verstraelen, Wouter, Huybrechts, Dolf, Roscilde, Tommaso, Wouters, Michiel

“…A central question in open quantum systems concerns the fate of quantum correlations, and the possibility of controlling them by engineering the competition between the Hamiltonian dynamics and the coupling to a bath. Such a question is challenging from a theoretical point of view, as numerical methods faithfully accounting for quantum correlations are either relying on exact diagonalization, limiting drastically the sizes that can be treated; or on approximations on the range or strength of quantum correlations, associated to the choice of a specific Ansatz for the density matrix. …”
Get full text

Symplectic Foliation Structures of Non-Equilibrium Thermodynamics as Dissipation Model: Application to Metriplectic Nonlinear Lindblad Quantum Master Equation by Frédéric Barbaresco

“…By deriving a generic dissipative bracket from fundamental thermodynamic first principles, Baptiste Coquinot demonstrates that brackets for the dissipative part are entirely natural, just as Poisson brackets for the non-dissipative part are canonical for Hamiltonian dynamics. We shall investigate how the theory of dissipative brackets introduced by Paul Dirac for limited Hamiltonian systems relates to transverse structure. …”
Get full text

Time–Energy and Time–Entropy Uncertainty Relations in Nonequilibrium Quantum Thermodynamics under Steepest-Entropy-Ascent Nonlinear Master Equations by Gian Paolo Beretta

“…In the domain of nondissipative unitary Hamiltonian dynamics, the well-known Mandelstam&#8722;Tamm&#8722;Messiah time&#8722;energy uncertainty relation <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>&#964;</mi> <mi>F</mi> </msub> <msub> <mo>&#916;</mo> <mi>H</mi> </msub> <mo>&#8805;</mo> <mi>ℏ</mi> <mo>/</mo> <mn>2</mn> </mrow> </semantics> </math> </inline-formula> provides a general lower bound to the characteristic time <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>&#964;</mi> <mi>F</mi> </msub> <mo>=</mo> <msub> <mo>&#916;</mo> <mi>F</mi> </msub> <mo>/</mo> <mrow> <mo>|</mo> <mi mathvariant="normal">d</mi> <mrow> <mo>&#9001;</mo> <mi>F</mi> <mo>&#9002;</mo> </mrow> <mo>/</mo> <mi>d</mi> <mi>t</mi> <mo>|</mo> </mrow> </mrow> </semantics> </math> </inline-formula> with which the mean value of a generic quantum observable <i>F</i> can change with respect to the width <inline-formula> <math display="inline"> <semantics> <msub> <mo>&#916;</mo> <mi>F</mi> </msub> </semantics> </math> </inline-formula> of its uncertainty distribution (square root of <i>F</i> fluctuations). …”
Get full text

Classical and quantum particles from nongeneric conformal orbits by Piotr Kosiński, Paweł Maślanka

“…The nongeneric six- and eightdimensional orbits of SO(4,2) are described in explicitly covariant way. The relevant Hamiltonian dynamical systems are constructed and canonically quantized. …”
Get full text

DINAMICA HAMILTONICĂ OPTICĂ ŞI HAOSUL DETERMINIST AL EXCITONILOR COERENŢI LA CUPLAREA ACESTORA ÎN BIEXCITONI by USM ADMIN

“…The parameter values were determined at which Hamiltonian dynamic chaos occurs …”
Get full text

On the geometry of Hamiltonian vector fields by Narmanov Abdigappar, Diyarov Bekzod

“…It is known that vector fields play an important role in many areas of mathematics and technology, in particular, in the theory of dynamical systems. Hamiltonian dynamical systems are generated by Hamiltonian vector fields. …”
Get full text

Computing stationary solutions of the two-dimensional Gross–Pitaevskii equation with deflated continuation by Charalampidis, E, Kevrekidis, P, Farrell, P

“…While deflated continuation is not guaranteed to compute the full bifurcation diagram, this analysis is a potent demonstration that the algorithm can discover new nonlinear states and provide insights into the energy landscape of complex high-dimensional Hamiltonian dynamical systems.…”

Matter accretion onto the magnetically charged Euler–Heisenberg black hole with scalar hair by H. Rehman, G. Abbas, Tao Zhu, G. Mustafa

“…We examine the accretion process of a variety of perfect fluids, including polytropic and isothermal fluids of the ultra-stiff, ultra-relativistic, and sub-relativistic forms, when fluid is accreting in the vicinity of the black hole. By using the Hamiltonian dynamical approach, we can find the sonic or critical points numerically for the various types of fluids that are accreting onto the black hole. …”
Get full text

Hyperbolic normal forms and invariant manifolds: Astronomical applications by Efthymiopoulos C.

“…In recent years, the study of the dynamics induced by the invariant manifolds of unstable periodic orbits in nonlinear Hamiltonian dynamical systems has led to a number of applications in celestial mechanics and dynamical astronomy. …”
Get full text

Tuning phononic and electronic contributions of thermoelectric in defected S-shape graphene nanoribbons by M. Amir Bazrafshan, Farhad Khoeini

“…The transport properties of the system are studied by using the non-equilibrium Green’s function method, so that the related Hamiltonians (dynamical matrices) are obtained from the tight-binding (force constant) model. …”
Get full text

An approach to stability analyses in general relativity via symplectic geometry by Prashant Kocherlakota, Pankaj S. Joshi

“…That is, typically the governing equations of motion of a Hamiltonian dynamical system are simply the flow equations of the associated symplectic Hamiltonian vector field, defined on phase space, and the non-linear stability analysis of its critical points have simply to do with the divergence of its flow there. …”
Get full text

Metric Gravity in the Hamiltonian Form—Canonical Transformations—Dirac’s Modifications of the Hamilton Method and Integral Invariants of the Metric Gravity by Alexei M. Frolov

“…Theory of integral invariants and its applications to the Hamiltonian metric gravity are also discussed. For Hamiltonian dynamical systems with first-class constraints this theory leads to a number of peculiarities some of which have been investigated.…”
Get full text

Uniqueness of Gibbs measures for continuous hardcore models by Gamarnik, David, Ramanan, Kavita

“…In each case the proof entails the analysis of an associated Hamiltonian dynamical system that describes a certain limit of the marginal distribution at a node. …”
Get full text

The fractional wave propagation, dynamical investigation, and sensitive visualization of the continuum isotropic bi-quadratic Heisenberg spin chain process by Waqas Ali Faridi, Muhammad Imran Asjad, Fahd Jarad

“…The planer dynamical system of equation develop and satisfy the Hamiltonian criteria to assure that, the developed system is Hamiltonian dynamical system and contains all traveling wave structures and the system is conservative. …”
Get full text