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Related Experiment Video

Updated: Jul 8, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Quantum walk in stochastic environment.

Ben Avnit¹, Doron Cohen¹

¹Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.

Physical Review. E

|December 20, 2023

Summary

This summary is machine-generated.

This study explores a quantized random walk in a random environment, revealing a surprising enhancement of disorder due to coherent hopping. The research highlights a critical transition where relaxation becomes underdamped in a ring geometry.

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Area of Science:

Quantum physics
Statistical mechanics

Background:

The Sinai-Derrida model describes random walks in random environments.
Quantized systems introduce quantum effects like coherence.

Purpose of the Study:

Investigate a quantized Sinai-Derrida model using a Lindblad master equation.
Analyze the delocalization-transition and disorder enhancement in a ring geometry.

Main Methods:

Definition of the quantized model via a Lindblad master equation.
Analysis of the delocalization-transition in a ring geometry.
Detailed examination of disorder enhancement due to coherent hopping.

Main Results:

A delocalization-transition occurs beyond a critical bias, leading to underdamped relaxation.
Coherent hopping counterintuitively enhances effective disorder.
Nonmonotonic dependence of the Lindbladian spectrum on coherent transition rates was observed.

Conclusions:

The quantized Sinai-Derrida model exhibits complex behavior with enhanced disorder.
Coherent effects play a crucial role in the system's dynamics and transitions.
Understanding these phenomena is key for quantum transport and condensed matter physics.