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Complex Fluid Models of Mixed Quantum–Classical Dynamics
Several methods in nonadiabatic molecular dynamics are based on Madelung’s hydrodynamic description of nuclear motion, while the electronic component...
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Quantifying Measurement-Induced Disturbance to Distinguish Correlations as Classical or Quantum
In contrast to the conventional entanglement-separability paradigm in quantum information theory, we embark on a different path by introducing a...
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Classical Noises Emerging from Quantum Environments
In the framework of quantum open systems, that is, simple quantum systems coupled to quantum baths, our aim is to characterize those actions of the... -
Investigating the Stability and Accuracy of a Classical Map** Variable Hamiltonian for Nonadiabatic Quantum Dynamics
Previous work has shown that by using the path integral representation of quantum mechanics and by map** discrete electronic states to continuous...
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The Price Identity of Replicator(–Mutator) Dynamics on Graphs with Quantum Strategies in a Public Goods Game
Our research explores the influence of quantum strategies on the Price identity of replicator(–mutator) dynamics in networked systems. We...
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Classical and Quantum Dynamical Manifestations of Index-\(2\) Saddles: Concerted Versus Sequential Reaction Mechanisms
The presence of higher-index saddles on a multidimensional potential energy surface is usually assumed to be of little significance in chemical...
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Species of Spaces
Classical limits of quantum systems are shown to lead to different conceptions of spaces different from the classical one underlying the process of... -
Epilogue: Stokes Phenomena. Dynamics, Classification Problems and Avatars
We describe the Stokes phenomenon, its main significance, and its emergence in various landscapes. We explain how to use Stokes phenomena to enrich... -
Description of the non-Markovian dynamics of atoms in terms of a pure state
The quantum master equation (QME), used to describe the Markov process of interaction between atoms and field, has a number of significant drawbacks....
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Trace Decreasing Quantum Dynamical Maps: Divisibility and Entanglement Dynamics
Trace decreasing quantum operations naturally emerge in experiments involving postselection. However, the experiments usuallyFilippov, S.N. focus on... -
Quantum Superposition and Entanglement
Two properties of Hilbert space that are pivotal in making quantum algorithms faster than classical algorithms are superposition and entanglement,... -
On the Dynamics of Matrix Models for Immune Clonal Networks
We propose some new matrix models for clonal network dynamics that are typical for simulating various biological clonal-type networks and study their...
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Sliding Mode Control of Quantum Systems
Sliding mode control is a powerful variable structure control method for classical control systems. The basic idea of sliding mode control can also... -
From Second-Order Differential Geometry to Stochastic Geometric Mechanics
Classical geometric mechanics, including the study of symmetries, Lagrangian and Hamiltonian mechanics, and the Hamilton–Jacobi theory, are founded...
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On classical systems and measurements in quantum mechanics
The recent rigorous derivation of the Born rule from the dynamical law of quantum mechanics Allahverdyan et al. (Phys Rep 525:1–166.
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Chaotic Dynamics of Homogeneous Yang–Mills Fields with Three Degrees of Freedom
AbstractWe consider a scenario of transition to chaotic dynamics in a Hamiltonian system of homogeneous Yang–Mills fields with three degrees of...
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Design Principles for Perfect Adaptation in Biological Networks with Nonlinear Dynamics
Establishing a map** between the emergent biological properties and the repository of network structures has been of great relevance in systems and...
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Dissipation-Preserving Rational Spectral-Galerkin Method for Strongly Damped Nonlinear Wave System Involving Mixed Fractional Laplacians in Unbounded Domains
This paper aims at develo** a dissipation-preserving, linearized, and time-step**-varying spectral method for strongly damped nonlinear wave...
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On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime
By using the pseudo-metric introduced in Golse and Paul (Arch Ration Mech Anal 223:57–94, 2017), which is an analogue of the Wasserstein distance of...