activity
20112026
most citedSolution of the Fokker-Planck equation with a logarithmic potential

56 citations · 108 across the 16 of their papers we have counts for

collaborators

17 papers

quant-ph2026

Periodic conditional measurements on a photonic chip

Xuan Chen, Ruo-Yu Yin, Xiao-Wen Shang +10

Quantum measurements not only extract information but also reshape quantum evolution through measurement backaction. Here, we investigate periodic conditional measurements, in whic…

cond-mat.stat-mech2026

Temporal Interference from Topological Transitions in Monitored Quantum Dynamics

Qingyuan Wang, Ruoyu Yin, Eli Barkai

Quantum interference is conventionally associated with the coherent superposition of alternative paths. We uncover a temporal form of interference in repeatedly monitored quantum s…

cond-mat.stat-mech2026

Resonances, Recurrence Times and Steady States in Monitored Noisy Qubit Systems

Shuanger Ma, Sabine Tornow, Eli Barkai

We study non-equilibrium steady states and recurrence times in noisy, stroboscopically monitored qubit systems using complete measurements. In the noiseless limit, recurrence times…

cond-mat.stat-mech2026

Sokoban Random Walk: A Trapping Perspective

Prashant Singh, Eli Barkai, David A Kessler

We study caging/trapping in Sokoban-type models, featuring a random walker moving through a disordered medium of obstacles and capable of pushing some obstacles blocking its path.…

cond-mat.stat-mech2026

Transition in Splitting Probabilities of Quantum Walks

Prashant Singh, David A. Kessler, Eli Barkai

We investigate the splitting probability of a monitored continuous-time quantum walk with two targets and show that, in stark contrast to a classical random walk, it exhibits a non…

cond-mat.stat-mech2025

The Thermodynamic Limit of Extreme First-Passage Times

Talia Baravi, Eli Barkai

The statistics of the slowest first-passage time among a large population of searchers is crucial for determining the completion time of many stochastic processes. Classical ex…

cond-mat.stat-mech2025★ 3 cited

Sokoban Random Walk: From Environment Reshaping to Trapping Crossover

Prashant Singh, David A. Kessler, Eli Barkai

We study the dynamics of a Sokoban random walker moving in a disordered medium with obstacle density . In contrast to the classic model of de Gennes with static obstacles that e…

quant-ph2025

Quantum Walks: First Hitting Times with Weak Measurements

Tim Heine, Eli Barkai, Klaus Ziegler +1

We study the first detected recurrence time problem of continuous-time quantum walks on graphs. While previous works have employed projective measurements to determine the first re…

cond-mat.stat-mech2025★ 8 cited

Resonances of recurrence time of monitored quantum walks

Ruoyu Yin, Qingyuan Wang, Sabine Tornow +1

The recurrence time is the time a process first returns to its initial state. Using quantum walks on a graph, the recurrence time is defined through stroboscopic monitoring of the…

cond-mat.stat-mech2025

Solutions of first passage times problems: a biscaling approach

Talia Baravi, David A. Kessler, Eli Barkai

We study the first-passage time (FPT) problem for widespread recurrent processes in confined though large systems and present a comprehensive framework for characterizing the FPT d…

cond-mat.stat-mech2025★ 6 cited

Rare Events and Single Big Jump Effects in Ornstein-Uhlenbeck Processes

Alberto Bassanoni, Alessandro Vezzani, Eli Barkai +1

Even in a simple stochastic process, the study of the full distribution of time integrated observables can be a difficult task. This is the case of a much-studied process such as t…

cond-mat.stat-mech2024

A tale of three approaches: dynamical phase transitions for weakly bound Brownian particles

Lucianno Defaveri, Eli Barkai, David A. Kessler

We investigate a system of Brownian particles weakly bound by attractive parity-symmetric potentials that grow at large distances as , with . The probabi…

quant-ph2024

First Hitting Times on a Quantum Computer: Tracking vs. Local Monitoring, Topological Effects, and Dark States

Qingyuan Wang, Silin Ren, Ruoyu Yin +3

We investigate a quantum walk on a ring represented by a directed triangle graph with complex edge weights and monitored at a constant rate until the quantum walker is detected. To…

cond-mat.stat-mech2024★ 1 cited

Fractionally Quantized Recurrence Detection Times in Monitored Quantum Many-Body Systems

Quancheng Liu, Sabine Tornow, David A. Kessler +1

Recurrence time quantifies the duration required for a physical system to return to its initial state, playing a pivotal role in understanding the predictability of complex systems…

cond-mat.stat-mech2024★ 24 cited

Restart uncertainty relation for monitored quantum dynamics

Ruoyu Yin, Qingyuan Wang, Sabine Tornow +1

We introduce a novel time-energy uncertainty relation within the context of restarts in monitored quantum dynamics. Initially, we investigate the concept of ``first hitting time''…

quant-ph2020★ 10 cited

Randomly repeated measurements on quantum systems: Correlations and topological invariants of the quantum evolution

K. Ziegler, E. Barkai, D. Kessler

Randomly repeated measurements during the evolution of a closed quantum system create a sequence of probabilities for the first detection of a certain quantum state. The related di…

cond-mat.stat-mech2011★ 56 cited

Solution of the Fokker-Planck equation with a logarithmic potential

A. Dechant, E. Lutz, E. Barkai +1

We investigate the diffusion of particles in an attractive one-dimensional potential that grows logarithmically for large using the Fokker-Planck equation. An eigenfunction e…