115 citations · 602 across the 20 of their papers we have counts for
20 papers
First-detection-time statistics in many-body quantum transport
Christoph Dittel, Niklas Neubrand, Felix Thiel +1
We study the transport of many partially distinguishable and possibly interacting particles under the action of repeated projective measurements on a target space and investigate h…
Uncertainty relation between detection probability and energy fluctuations
Felix Thiel, Itay Mualem, David Kessler +1
A classical random walker starting on a node of a finite graph will always reach any other node since the search is ergodic, namely it is fully exploring space, hence the arrival p…
Non-Hermitian and Zeno limit of quantum systems under rapid measurements
Felix Thiel, David A. Kessler
We investigate in depth the relation between the first detection time of an isolated quantum system that is repeatedly perturbed by strong local measurements with a large fixed fre…
Quantization of the mean decay time for non-Hermitian quantum systems
Felix Thiel, David A. Kessler, Eli Barkai
We show that the mean time, which a quantum particle needs to escape from a system to the environment, is quantized and independent from most dynamical details of the system. In pa…
Quantum total detection probability from repeated measurements II. Exploiting symmetry
Felix Thiel, Itay Mualem, David A. Kessler +1
A quantum walker on a graph, prepared in the state , e.g. initially localized at node , is repeatedly probed, with fixed frequency , to test…
Dark states of quantum search cause imperfect detection
Felix Thiel, Itay Mualem, Dror Meidan +2
We consider a quantum walk where a detector repeatedly probes the system with fixed rate until the walker is detected. This is a quantum version of the first-passage problem.…
Uncertainty and symmetry bounds for the quantum total detection probability
Felix Thiel, Itay Mualem, David A. Kessler +1
We investigate a generic discrete quantum system prepared in state , under repeated detection attempts aimed to find the particle in state , for exa…
Large fluctuations of the first detected quantum return time
Ruoyu Yin, Klaus Ziegler, Felix Thiel +1
How long does it take a quantum particle to return to its origin? As shown previously under repeated projective measurements aimed to detect the return, the closed cycle yields a g…
The spectral dimension controls the decay of the quantum first detection probability
Felix Thiel, David A. Kessler, Eli Barkai
We consider a quantum system that is initially localized at and that is repeatedly projectively probed with a fixed period at position . We ask for the probabilit…
Reaction-diffusion on random spatial networks with scale-free jumping rates via effective medium theory
Flavio Iannelli, Igor M. Sokolov, Felix Thiel
We study epidemic processes using a metapopulation approach on the line featuring random transport rates between arbitrarily distant sites. An average transport network is found us…
First detected arrival of a quantum walker on an infinite line
Felix Thiel, Eli Barkai, David A. Kessler
The first detection of a quantum particle on a graph has been shown to depend sensitively on the sampling time τ . Here we use the recently introduced quantum renewal equation to i…
Anomalous diffusion in run-and-tumble motion
Felix Thiel, Lutz Schimansky-Geier, Igor M. Sokolov
A random walk scheme, consisting of alternating phases of regular Brownian motion and Lévy walks, is proposed as a model for run-and-tumble bacterial motion. Within the continuous-…
Using Hilbert transform and classical chains to simulate quantum walks
Daxing Xiong, Felix Thiel, Eli Barkai
We propose a simulation strategy which uses a classical device of linearly coupled chain of springs to simulate quantum dynamics, in particular the quantum walks. Through this stra…
Time averages in continuous time random walks
Felix Thiel, Igor M. Sokolov
We investigate the time averaged squared displacement (TASD) of continuous time random walks with respect to the number of steps , which the random walker performed during the d…
Effective medium approximation for lattice random walks with long-range jumps
Felix Thiel, Igor M. Sokolov
We consider the random walk on a lattice with random transition rates and arbitrarily long-range jumps. We employ Bruggeman's effective medium approximation (EMA) to find the disor…
Non-spectral modes and how to find them in the Ornstein-Uhlenbeck process with white μ-stable noise
F. Thiel, I. M. Sokolov, E. B. Postnikov
We consider the Ornstein-Uhlenbeck process with a broad initial probability distribution (Levy distribution), which exhibits so-called non-spectral modes. The relaxation of such mo…
Quantifying the non-ergodicity of scaled Brownian motion
Hadiseh Safdari, Andrey G. Cherstvy, Aleksei V. Chechkin +3
We examine the non-ergodic properties of scaled Brownian motion, a non-stationary stochastic process with a time dependent diffusivity of the form . We compute…
Weak ergodicity breaking in an anomalous diffusion process of mixed origins
Felix Thiel, Igor M. Sokolov
The ergodicity breaking parameter is a measure for the heterogeneity among different trajectories of one ensemble. In this report this parameter is calculated for fractional Browni…
Scaled Brownian motion as a mean field model for continuous time random walks
Felix Thiel, Igor M. Sokolov
We consider scaled Brownian motion (sBm), a random process described by a diffusion equation with explicitly time-dependent diffusion coefficient (Batchelor's…
Disentangling sources of anomalous diffusion
Felix Thiel, Franziska Flegel, Igor M. Sokolov
We show that some important properties of subbdiffusion of unknown origin (including those of mixed origin) can be easily assessed when findeng the "fundamental moment" of the corr…