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We present a new time-stepping criterion for N-body simulations that is based on the true dynamical time of a particle. This allows us to follow the orbits of particles correctly in all environments since it has better adaptivity than…

Astrophysics · Physics 2009-10-12 Marcel Zemp , Joachim Stadel , Ben Moore , C. Marcella Carollo

In open quantum systems decoherence occurs through interaction of a quantum subsystem with its environment. The computation of expectation values requires a knowledge of the quantum dynamics of operators and sampling from initial states of…

Statistical Mechanics · Physics 2009-11-13 Robbie Grunwald , Hyojoon Kim , Raymond Kapral

We develop a density matrix formalism to describe coupled electron-nuclear dynamics. To this end we introduce an effective Hamiltonian formalism that describes electronic transitions and small (quantum) nuclear fluctuations along a…

Chemical Physics · Physics 2020-09-07 Eugene Stolyarov , Alexander White , Dmitry Mozyrsky

We prove analytical results showing that decoherence can be useful for mixing time in a continuous-time quantum walk on finite cycles. This complements the numerical observations by Kendon and Tregenna (Physical Review A 67 (2003), 042315)…

Quantum Physics · Physics 2007-05-23 Leonid Fedichkin , Dmitry Solenov , Christino Tamon

This paper is concerned with open quantum memory systems for approximately retaining quantum information, such as initial dynamic variables or quantum states to be stored over a bounded time interval. In the Heisenberg picture of quantum…

Quantum Physics · Physics 2025-10-10 Igor G. Vladimirov , Ian R. Petersen , Guodong Shi

This paper explores the use of laboratory closed-loop learning control to either fight or cooperate with decoherence in the optimal manipulation of quantum dynamics. Simulations of the processes are performed in a Lindblad formulation on…

Quantum Physics · Physics 2007-05-23 Feng Shuang , Herschel Rabitz

This paper is concerned with open quantum harmonic oscillators (OQHOs) described by linear quantum stochastic differential equations. This framework includes isolated oscillators with zero Hamiltonian, whose system variables remain…

Quantum Physics · Physics 2023-10-27 Igor G. Vladimirov , Ian R. Petersen

A surface-hopping algorithm recently derived from the exact factorization approach, SHXF, [Ha, Lee, Min, J. Phys. Chem. Lett. 9, 1097 (2018)] introduces an additional term in the electronic equation of surface-hopping, which couples…

Chemical Physics · Physics 2022-02-08 Patricia Vindel-Zandbergen , Spiridoula Matsika , Neepa T. Maitra

Atomic and molecular scattering at semiconductor interfaces plays a central role in surface chemistry and catalysis, yet predictive simulations remain challenging due to strong nonadiabatic effects causing the breakdown of the…

Materials Science · Physics 2026-01-16 Xiaohan Dan , Zhuoran Long , Tianyin Qiu , Jan Paul Menzel , Qiang Shi , Victor S. Batista

Decoherence in Nature has become one of the most pressing problems in physics. Many applications, including quantum information processing, depend on understanding it; and fundamental theories going beyond quantum mechanics have been…

Mesoscale and Nanoscale Physics · Physics 2011-07-27 S. Takahashi , I. S. Tupitsyn , J. van Tol , C. C. Beedle , D. N. Hendrickson , P. C. E. Stamp

We discuss decoherence in discrete-time quantum walks in terms of a phenomenological model that distinguishes spin and spatial decoherence. We identify the dominating mechanisms that affect quantum walk experiments realized with neutral…

Quantum Physics · Physics 2014-12-30 Andrea Alberti , Wolfgang Alt , Reinhard Werner , Dieter Meschede

This paper is concerned with open quantum systems whose dynamic variables have an algebraic structure, similar to that of the Pauli matrices for finite-level systems. The Hamiltonian and the operators of coupling of the system to the…

Quantum Physics · Physics 2023-11-07 Igor G. Vladimirov , Ian R. Petersen

We propose a method for enacting the unitary time propagation of two interacting neutrons at leading order of chiral effective field theory by efficiently encoding the nuclear dynamics into a single multi-level quantum device. The emulated…

Nucleon-deuteron ($Nd$) scattering can be used to constrain three-nucleon forces in chiral effective field theory ($\chi$EFT). However, high-fidelity calculations, such as the Hyperspherical Harmonic (HH) method, are computationally…

This paper considers a network of open quantum harmonic oscillators which interact with their neighbours through direct energy and field-mediated couplings and also with external quantum fields. The position-momentum dynamic variables of…

Quantum Physics · Physics 2025-03-27 Igor G. Vladimirov , Ian R. Petersen , Guodong Shi

We develop and implement a method for modeling decoherence processes on an N-dimensional quantum system that requires only an $N^2$-dimensional quantum environment and random classical fields. This model offers the advantage that it may be…

Quantum Physics · Physics 2009-11-10 G. Teklemariam , E. M. Fortunato , C. C. Lopez , J. Emerson , J. P. Paz , T. F. Havel , D. G. Cory

We derive exact analytical expressions for the quantum capacity of a broad subclasses of generalized dephasing channels of the form $\Lambda(\rho)=(1-x)\rho + x D(\rho)$, where $D(\rho)$ represents a structured decoherence process. These…

Quantum Physics · Physics 2025-11-26 Shayan Roofeh , Vahid Karimipour

Using non-relativistic many body quantum field theory, a master equation is derived for the reduced density matrix of a dilute gas of massive particles undergoing scattering interactions with an environment of light particles. The dynamical…

Quantum Physics · Physics 2009-11-10 P. J. Dodd , J. J. Halliwell

The powerful molecular dynamics (MD) simulation is basically based on a picture that the atoms experience classical-like trajectories under the exertion of classical force field determined by the quantum mechanically solved electronic…

Chemical Physics · Physics 2013-12-16 Wei Feng , Luting Xu , Xin-Qi Li , Weihai Fang

Bidimensional spiking models currently gather a lot of attention for their simplicity and their ability to reproduce various spiking patterns of cortical neurons, and are particularly used for large network simulations. These models…

Numerical Analysis · Computer Science 2012-11-07 Jonathan Touboul
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