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Ergodic Theory of Multi-layer Interacting Particle Systems
We consider a class of multi-layer interacting particle systems and characterize the set of ergodic probability measures with finite moments. The...
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Depinning dynamics of repulsively interacting particle systems with different force ranges
We apply Langevin simulation to the depinning dynamics of different two-dimensional model systems on the disordered substrate. Each model system is...
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Gaussian Fluctuations for Interacting Particle Systems with Singular Kernels
We consider the asymptotic behaviour of the fluctuations for the empirical measures of interacting particle systems with singular kernels. We prove...
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Exact Solution of Interacting Particle Systems Related to Random Matrices
We consider one-dimensional diffusions, with polynomial drift and diffusion coefficients, so that in particular the motion can be...
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The Role of the Effective Range in Strongly-Interacting Few-Body Systems
Strongly interacting systems appear in several areas of physics and are characterized by attractive interactions that can almost, or just barely,...
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Quantum Coherence in Low-Dimensional Interacting Fermi Systems
Disorder versus interaction induced metal-insulator transitions are still a central problem in solid state physics. For non-interacting electrons in...
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Fast dynamics and emergent topological defects in long-range interacting particle systems
Long-range interacting systems exhibit unusual physical properties not shared by systems with short-range interactions. Understanding the dynamical...
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Uphill in Reaction-Diffusion Multi-species Interacting Particles Systems
We study reaction-diffusion processes with multi-species particles and hard-core interaction. We add boundary driving to the system by means of...
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Many-Particle Systems
The world around us is constructed from many particles. This chapter introduces the important variables that describe many-body systems....
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Preparation of metrological states in dipolar-interacting spin systems
Spin systems are an attractive candidate for quantum-enhanced metrology. Here we develop a variational method to generate metrological states in...
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The strain gap in a system of weakly and strongly interacting two-level systems
Many disordered lattices exhibit remarkable universality in their low-temperature properties, similar to that found in amorphous solids. Recently, a...
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Quantization of Interacting Systems
When quantizing interacting fields, we begin with the equal-time commutation relations and the relativistic invariance is not apparent. In this case,...
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Dynamics of Finite Inhomogeneous Particle Systems with Exclusion Interaction
We study finite particle systems on the one-dimensional integer lattice, where each particle performs a continuous-time nearest-neighbour random...
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Systems of Particle 4-Vectors
In the previous section we considered single 4-vectors and we classified them in timelike, spacelike and null according to their Lorentz length. In...
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Interacting Classical Gas
The assumption that the molecules of a gas do not interact though models a number of systems, there are situations of practical interest which the...
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Interacting systems and wormholes
We consider a class of tripartite systems for which two d -dimensional QFTs are cross-coupled via a third d + 1-dimensional “messenger” QFT. We...
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Trajectorial Dissipation of \({\Phi }\)-Entropies for Interacting Particle Systems
A classical approach for the analysis of the long-time behaviour of Markov processes is to consider suitable Lyapunov functionals like the variance...
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Spontaneously interacting qubits from Gauss-Bonnet
Building on previous constructions examining how a collection of small, locally interacting quantum systems might emerge via spontaneous symmetry...