Freiburg 2024 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 20: Quantum Many-Body Dynamics

Q 20.2: Talk

Tuesday, March 12, 2024, 11:15–11:30, HS 3118

Quantum stochastic resetting in lattices with long-range hopping — •Sayan Roy¹, Shamik Gupta², and Giovanna Morigi¹ — ¹Theoretical Physics, Department of Physics, Saarland University, 66123 Saarbrücken, Germany — ²Department of Theoretical Physics, Tata Institute of Fundamental Research, 1 Homi Bhabha Road, Mumbai, 400005, India

Stochastic resetting [1] is considered an efficient strategy for spatial search. The corresponding quantum dynamics is a lively area of research [2]. In this work, we analyze the dynamics of a quantum particle on a one-dimensional lattice with long-range hopping. The hopping decays with the distance as 1/r^α . The particle is additionally subject to repeated projective measurements by a detector placed at the target site and, in case of negative result, it is reset with constant rate to the initial site. We determine the hitting time of the target as a function of α and find the optimal resetting rate required to maximize the detection probability. We further consider the effect of box disorder on the hopping rate and assess the speed of the convergence time as a function of the disorder strength.

[1]. M.R. Evans and S.N. Majumdar, Phys. Rev. Lett. 106, 160601 (2011). [2]. R. Yin, E. Barkai, Phys. Rev. Lett. 130, 050802 (2023).

Keywords: Stochastic Resetting; Quantum dynamics