Jan Wehr
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View article: Anderson localization induced by structural disorder
Anderson localization induced by structural disorder Open
We examine the onset of Anderson localization in three-dimensional systems with structural disorder in form of lattice irregularities and in the absence of any on-site disordered potential. Analyzing two models with distinct types of latti…
View article: Anderson localization induced by structural disorder
Anderson localization induced by structural disorder Open
We examine the onset of Anderson localization in three-dimensional systems with structural disorder in the form of lattice irregularities and in the absence of any on-site disordered potential. Analyzing two models with distinct types of l…
View article: Telling different unravelings apart via nonlinear quantum-trajectory averages
Telling different unravelings apart via nonlinear quantum-trajectory averages Open
The Gorini-Kossakowski-Sudarshan-Lindblad master equation (ME) governs the density matrix of open quantum systems (OQSs). When an OQS is subjected to weak continuous measurement, its state evolves as a stochastic quantum trajectory, whose …
View article: Nonlinear functionals of master equation unravelings
Nonlinear functionals of master equation unravelings Open
Unravelings provide a probabilistic representation of solutions of master equations and a method of computation of the density operator dynamics. The trajectories generated by unravelings may also be treated as real -- as in the stochastic…
View article: Telling different unravelings apart via nonlinear quantum-trajectory averages
Telling different unravelings apart via nonlinear quantum-trajectory averages Open
The Gorini-Kossakowski-Sudarshan-Lindblad master equation (ME) governs the density matrix of open quantum systems (OQSs). When an OQS is subjected to weak continuous measurement, its state evolves as a stochastic quantum trajectory, whose …
View article: Equations driven by fast-oscillating functions of an Itô diffusion process
Equations driven by fast-oscillating functions of an Itô diffusion process Open
We study Itô SDE systems driven by oscillating functions of a single Itô diffusion process. In the limit when oscillations become fast, we show that the solution process converges in law to the process defined by an SDE system driven by a …
View article: Haake-Lewenstein-Wilkens approach to spin-glasses revisited
Haake-Lewenstein-Wilkens approach to spin-glasses revisited Open
We revisit the Haake-Lewenstein-Wilkens (HLW) approach to Edwards-Anderson (EA) model of Ising spin glass [Phys. Rev. Lett. 55, 2606 (1985)]. This approach consists in evaluation and analysis of the probability distribution of configuratio…
View article: Overdamped dynamics of a Brownian particle levitated in a Paul trap
Overdamped dynamics of a Brownian particle levitated in a Paul trap Open
We study the dynamics of the center of mass of a Brownian particle levitated in a Paul trap. We mostly focus on the overdamped regime in the context of levitodynamics, comparing theory with numerical simulations and experimental data from …
View article: Tuning phototactic robots with sensorial delays
Tuning phototactic robots with sensorial delays Open
The presence of a delay between sensing and reacting to a signal can\ndetermine the long-term behavior of autonomous agents whose motion is\nintrinsically noisy. In a previous work [M. Mijalkov, A. McDaniel, J. Wehr, and\nG. Volpe, Phys. R…
View article: Homogenization of a Class of Non-Markovian Langevin Equations with an Application to Thermophoresis
Homogenization of a Class of Non-Markovian Langevin Equations with an Application to Thermophoresis Open
We study a class of systems whose dynamics are described by non-Markovian Langevin equations with state-dependent coefficients. We find that in the limit, in which all the characteristic time scales vanish at the same rate, the position va…
View article: Lindblad model of quantum Brownian motion
Lindblad model of quantum Brownian motion Open
The theory of quantum Brownian motion describes the properties of a large\nclass of open quantum systems. Nonetheless, its description in terms of a\nBorn-Markov master equation, widely used in the literature, is known to violate\nthe posi…
View article: Disorder-induced enhancement and critical scaling of spontaneous magnetization in random-field quantum spin systems
Disorder-induced enhancement and critical scaling of spontaneous magnetization in random-field quantum spin systems Open
We investigate the effect of a unidirectional quenched random field on the anisotropic quantum spin-1/2 $XY$ model, which magnetizes spontaneously in the absence of the random field. We adopt mean-field approach to show that spontaneous ma…
View article: Effective drifts in dynamical systems with multiplicative noise: a review of recent progress
Effective drifts in dynamical systems with multiplicative noise: a review of recent progress Open
Noisy dynamical models are employed to describe a wide range of phenomena. Since exact modeling of these phenomena requires access to their microscopic dynamics, whose time scales are typically much shorter than the observable time scales,…
View article: Percolation thresholds for discrete-continuous models with nonuniform probabilities of bond formation
Percolation thresholds for discrete-continuous models with nonuniform probabilities of bond formation Open
We introduce a class of discrete-continuous percolation models and an efficient Monte Carlo algorithm for computing their properties. The class is general enough to include well-known discrete and continuous models as special cases. We foc…
View article: Engineering Sensorial Delay to Control Phototaxis and Emergent Collective Behaviors
Engineering Sensorial Delay to Control Phototaxis and Emergent Collective Behaviors Open
Collective motions emerging from the interaction of autonomous mobile individuals play a key role in many phenomena, from the growth of bacterial colonies to the coordination of robotic swarms. For these collective behaviors to take hold, …
View article: Dynamical systems with multiplicative noise: Time-scale competition, delayed feedback and effective drifts
Dynamical systems with multiplicative noise: Time-scale competition, delayed feedback and effective drifts Open
Noisy dynamical models are employed to describe a wide range of phenomena. Since exact modeling of these phenomena requires access to their microscopic dynamics, whose time scales are typically much shorter than the observable time scales,…
View article: Quantum Brownian motion with inhomogeneous damping and diffusion
Quantum Brownian motion with inhomogeneous damping and diffusion Open
We analyze the microscopic model of quantum Brownian motion, describing a Brownian particle interacting with a bosonic bath through a coupling which is linear in the creation and annihilation operators of the bath, but may be a nonlinear f…