221 citations · 679 across the 13 of their papers we have counts for
13 papers
Unified approach to reset processes and application to coupling between process and reset
G. John Lapeyre, Marco Dentz
We present a unified approach to those observables of stochastic processes under reset that take the form of averages of functionals depending on the most recent renewal period. We…
Reaction-diffusion with stochastic decay rates
Gerald J. Lapeyre, Marco Dentz
Understanding anomalous transport and reaction kinetics due to microscopic physical and chemical disorder is a long-standing goal in many fields including geophysics, biology, and…
Percolation thresholds for discrete-continuous models with non-uniform probabilities of bond formation
Bartłomiej Szczygieł, Marek Dudyński, Kamil Kwiatkowski +3
We consider a family of percolation models in which geometry and connectivity are defined by two independent random processes. Such models merge characteristics of discrete and con…
Anomalous diffusion from Brownian motion with random confinement
Gerald John Lapeyre
We present a model of anomalous diffusion consisting of an ensemble of particles undergoing homogeneous Brownian motion except for confinement by randomly placed reflecting boundar…
Weak ergodicity breaking of receptor motion in living cells stemming from random diffusivity
Carlo Manzo, Juan A. Torreno-Pina, Pietro Massignan +3
Molecular transport in living systems regulates numerous processes underlying biological function. Although many cellular components exhibit anomalous diffusion, only recently has…
Nonergodic Subdiffusion from Brownian Motion in an Inhomogeneous Medium
P. Massignan, C. Manzo, J. A. Torreno-Pina +3
Nonergodicity observed in single-particle tracking experiments is usually modeled by transient trapping rather than spatial disorder. We introduce models of a particle diffusing in…
The role of local and global geometry in quantum entanglement percolation
Gerald John Lapeyre
We prove that enhanced entanglement percolation via lattice transformation is possible even if the new lattice is more poorly connected in that: i) the coordination number (a local…
Momentum distribution for a one-dimensional trapped gas of hard-core bosons
G. J. Lapeyre, M. D. Girardeau, E. M. Wright
Using the exact -particle ground state wave function for a one-dimensional gas of hard-core bosons in a harmonic trap we develop an algorithm to compute the reduced single-parti…
Distribution of entanglement in large-scale quantum networks
S. Perseguers, G. J. Lapeyre, D. Cavalcanti +2
The concentration and distribution of quantum entanglement is an essential ingredient in emerging quantum information technologies. Much theoretical and experimental effort has bee…
Distribution of entanglement in networks of bi-partite full-rank mixed states
G. J. Lapeyre, S. Perseguers, M. Lewenstein +1
We study quantum entanglement distribution on networks with full-rank bi-partite mixed states linking qubits on nodes. In particular, we use entanglement swapping and purification…
Multipartite entanglement percolation
S. Perseguers, D. Cavalcanti, G. J. Lapeyre +2
We present percolation strategies based on multipartite measurements to propagate entanglement in quantum networks. We consider networks spanned on regular lattices whose bonds cor…
Enhancement of Entanglement Percolation in Quantum Networks via Lattice Transformations
G. John Lapeyre, Jan Wehr, Maciej Lewenstein
We study strategies for establishing long-distance entanglement in quantum networks. Specifically, we consider networks consisting of regular lattices of nodes, in which the neares…
Interference of a Tonks-Girardeau Gas on a Ring
Kunal K. Das, G. John Lapeyre, Ewan M. Wright
We study the quantum dynamics of a one-dimensional gas of impenetrable bosons on a ring, and investigate the interference that results when an initially trapped gas localized on on…