Hamiltonian Neural Network 6-DoF Rigid-Body Dynamic Modeling Based on Energy Variation Estimation by Fei Simiao, Huo Lin, Sun Zhixiao, Wang He, Lu Yuanjie, He Jile, Luo Qing, Su Qihang

“…The proposed method is based on the principles of Hamiltonian dynamics and employs an inductive bias in the form of a constructed bias for both conservative and varying energies, effectively tackling the modeling issues arising from time-varying energy in controlled rigid-body dynamics. …”
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Measuring Arbitrary Physical Properties in Analog Quantum Simulation by Minh C. Tran, Daniel K. Mark, Wen Wei Ho, Soonwon Choi

“…Our protocol involves introducing ancillary degrees of freedom in a predetermined state to a system of interest, quenching the joint system under Hamiltonian dynamics native to the particular experimental platform, and then measuring globally in a single, fixed basis. …”
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Spectral and steady-state properties of fermionic random quadratic Liouvillians by João Costa, Pedro Ribeiro, Andrea De Luca, Tomaž Prosen, Lucas Sá

“…We study spectral and steady-state properties of generic Markovian dissipative systems described by quadratic fermionic Liouvillian operators of the Lindblad form. The Hamiltonian dynamics is modeled by a generic random quadratic operator, i.e., as a featureless superconductor of class D, whereas the Markovian dissipation is described by $M$ random linear jump operators. …”
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Quantum Computation and Simulation using Fermion Pair Registers by Sun, Xiangkai

“…In addition, we present a sample-efficient protocol to characterize engineered gates and Hamiltonian dynamics by improving classical shadow process tomography to require minimal experimental controls. …”
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Information Scrambling with Conservation Laws by Jonah Kudler-Flam, Ramanjit Sohal, Laimei Nie

“…Recently, significant progress has been made analytically by modeling non-integrable systems as stochastic systems, lacking a Hamiltonian picture, while honest Hamiltonian dynamics are frequently limited to small system sizes due to computational constraints. …”
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Two-Qubit Entanglement Generation through Non-Hermitian Hamiltonians Induced by Repeated Measurements on an Ancilla by Roberto Grimaudo, Antonino Messina, Alessandro Sergi, Nikolay V. Vitanov, Sergey N. Filippov

“…In contrast to classical systems, actual implementation of non-Hermitian Hamiltonian dynamics for quantum systems is a challenge because the processes of energy gain and dissipation are based on the underlying Hermitian system–environment dynamics, which are trace preserving. …”
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Variational Hybrid Monte Carlo for Efficient Multi-Modal Data Sampling by Shiliang Sun, Jing Zhao, Minghao Gu, Shanhu Wang

“…The Hamiltonian Monte Carlo (HMC) sampling algorithm exploits Hamiltonian dynamics to construct efficient Markov Chain Monte Carlo (MCMC), which has become increasingly popular in machine learning and statistics. …”
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The symplectic geometrical formulation of quantum hydrodynamics by Wijaya, Andika Kusuma, Hermanto, Arief, Rosyid, Muhammad Farchani

“…The pre-symplectic manifolds providing the phase spaces describing the Hamiltonian dynamics of quantum fluid are constructed from the set of all solutions of Madelung equations and their corresponding Lagrangian densities. …”

Absolutely separating quantum maps and channels by S N Filippov, K Yu Magadov, M A Jivulescu

“…Such absolutely separating maps affect the states in a way, when no Hamiltonian dynamics can make them entangled afterwards. …”
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Effective Electrodynamics Theory for the Hyperbolic Metamaterial Consisting of Metal–Dielectric Layers by Pi-Gang Luan

“…We also give a brief discussion about the Hamiltonian dynamics description of the system. The Lagrangian description and Hamiltonian formulation presented in this paper can be further developed for studying the elementary excitations or quasiparticles in other hyperbolic metamaterials.…”
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Quantum and Classical Correlations in Open Quantum Spin Lattices via Truncated-Cumulant Trajectories by Wouter Verstraelen, Dolf Huybrechts, Tommaso Roscilde, Michiel Wouters

“…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 of the system to a bath. …”
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Higher-order interference and single-system postulates characterizing quantum theory by Howard Barnum, Markus P Müller, Cozmin Ududec

“…Then we show that adding observability of energy as a fourth postulate yields complex quantum theory as the unique solution, relating the emergence of the complex numbers to the possibility of Hamiltonian dynamics. We also show that there may be interesting non-quantum theories satisfying only the first two of our postulates, which would allow for higher-order interference in experiments while still respecting the contextuality analogue of the local orthogonality principle.…”
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Obtaining the non-relativistic quantum mechanics from quantum field theory: issues, folklores and facts by T. Padmanabhan

“…I examine this limit in several approaches (like, for e.g., Hamiltonian dynamics, Lagrangian and Hamiltonian path integrals, field theoretic description etc.) and identify the precise issues which arise when one attempts to obtain the NRQM from QFT in each of these approaches. …”
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Damping Formation Mechanism and Damping Injection of Virtual Synchronous Generator Based on Generalized Hamiltonian Theory by Yun Zeng, Jing Qian, Fengrong Yu, Hong Mei, Shige Yu

“…From the view of the Hamiltonian dynamics, this paper researches the damping formation mechanism and damping injection control of VSG. …”
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Covariant phase space with boundaries by Harlow, Daniel L., Wu, Jie-qiang

“…The covariant phase space method of Iyer, Lee, Wald, and Zoupas gives an elegant way to understand the Hamiltonian dynamics of Lagrangian field theories without breaking covariance. …”
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On the construction of invariant tori and integrable Hamiltonians by Kaasalainen, M, Mikko K. J. Kaasalainen

“…<p>The main principle of this thesis is to employ the geometric representation of Hamiltonian dynamics: in a broad sense, we study how to construct, in phase space, geometric structures that are related to a dynamical system. …”

Symplectic techniques in geometric quantum mechanics and nonlinear quantum mechanics by Molladavoudi, Saeid

“…Furthermore, we show that the non-linear Schrodinger equation is in fact a Hamiltonian dynamics, namely it preserves the symplectic structure of the complex Hilbert space. …”
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Monte Carlo sampling from the quantum state space. II by Yi-Lin Seah, Jiangwei Shang, Hui Khoon Ng, David John Nott, Berthold-Georg Englert

“…The resulting random walk is entirely inside the physical parameter space, and the Hamiltonian dynamics enable us to take big steps, thereby avoiding strong correlations between successive sample points while enjoying a high acceptance rate. …”
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A microscopic, non-equilibrium, statistical field theory for cosmic structure formation by Matthias Bartelmann, Felix Fabis, Daniel Berg, Elena Kozlikin, Robert Lilow, Celia Viermann

“…Building upon the recent pioneering work by Mazenko and by Das and Mazenko, we develop a microscopic, non-equilibrium, statistical field theory for initially correlated canonical ensembles of classical microscopic particles obeying Hamiltonian dynamics. Our primary target is cosmic structure formation, where initial Gaussian correlations in phase space are believed to be set by inflation. …”
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Quasi-Lie Brackets and the Breaking of Time-Translation Symmetry for Quantum Systems Embedded in Classical Baths by Alessandro Sergi, Gabriel Hanna, Roberto Grimaudo, Antonino Messina

“…Next, we discuss how non-Hamiltonian dynamics may be employed to generate the constant-temperature evolution of phase space degrees of freedom coupled to the quantum subsystem. …”
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