Survival of classical and quantum particles in the presence of traps

DOI10.1007/s10955-014-0936-8zbMath1291.82051arXiv1311.6298OpenAlexW1964709969MaRDI QIDQ2249270

Jean-Marc Luck, Kirone Mallick, P. L. Krapivskij

Publication date: 10 July 2014

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6298

zbMATH Keywords

diffusiondisordered systemsquantum mechanicssurvival probabilityquantum walkLifshitz tailstrapping

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items

Quantum dynamics and relaxation in comb turbulent diffusion, Transport properties of diffusive particles conditioned to survive in trapping environments, Statistical and transport properties of a one-dimensional random walk with periodically distributed trapping intervals, Long time dynamics of a single-particle extended quantum walk on a one-dimensional lattice with complex hoppings: a generalized hydrodynamic description, Quantum renewal equation for the first detection time of a quantum walk, Free bosons with a localized source, Coherent transport over an explosive percolation lattice, Coherent and dissipative dynamics at quantum phase transitions, Free fermions with a localized source, Quantum return probability of a system ofNnon-interacting lattice fermions, Survival probability of random walks leaping over traps, Quantized dynamics in closed quantum systems, Randomly repeated measurements on quantum systems: correlations and topological invariants of the quantum evolution

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the relationship between continuous- and discrete-time quantum walk
• Trapping of continuous-time quantum walks on Erdős-Rényi graphs
• Fractal behavior in trapping and reaction: A random walk study
• Partial absorption and ``virtual traps
• Spectral determinant on quantum graphs
• Quantum walks: a comprehensive review
• Lifshitz singularities in random harmonic chains: periodic amplitudes near the band edge and near special frequencies.
• One-dimensional continuous-time quantum walks
• Quantum random walks in one dimension
• Random Walks on Lattices. II
• CONTINUOUS-TIME QUANTUM WALKS AND TRAPPING
• On the number of distinct sites visited by a random walk
• Asymptotics for the wiener sausage
• Anomalous dynamical scaling and bifractality in the one-dimensional Anderson model
• On the remarkable spectrum of a non-Hermitian random matrix model
• Quantum walks in higher dimensions
• Absorption problems for quantum walks in one dimension
• QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS
• Exploring the Quantum