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DY: Fachverband Dynamik und Statistische Physik

DY 47: Statistical Physics: General I

DY 47.8: Vortrag

Donnerstag, 12. März 2026, 11:30–11:45, ZEU/0114

Quest for optimal quantum resetting: Protocols for a particle on a chain — •Pallabi Chatterjee, S. Aravinda, and Ranjan Modak — Department of Physics, Indian Institute of Technology Tirupati, Tirupati 517619, India

In the classical context, it is well known that, sometimes, if a search does not find its target, it is better to start the process anew. This is known as resetting. The quantum counterpart of resetting also indicates speeding up the detection process by eliminating the dark states, i.e., situations in which the particle avoids detection. In this work, we introduce the most probable position resetting(MPR) protocol, in which, at a given resetting step, resets are done with certain probabilities to the set of possible peak positions that could occur because of the previous resets, followed by uninterrupted unitary evolution, irrespective of which path was taken by the particle in previous steps. In a tight-binding lattice model, there exists a twofold degeneracy (left and right) of the positions of maximum probability(peak). The survival probability with optimal restart rate approaches zero when the particle is reset with equal probability on both sides path independently. This protocol significantly reduces the optimal mean first-detected-passage time, and it performs better even if the detector is far apart compared to the usual resetting protocols in which the particle is brought back to the initial position. We propose a modified protocol, an adaptive two-stage MPR, by making the associated probabilities of going to the right and left a function of steps. We see a further reduction of the optimal mean FDT and improvement in the search process.

Keywords: Non-equilibrium statistical mechanics; quantum stochastic process; search strategy; stochastic resetting; quantum statistical mechanics