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Rapid spatial equilibration of a particle in a box
Artur S L Malabarba1, Noah Linden2, Anthony J Short1
1H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, United Kingdom.
Quantum particle equilibration occurs rapidly in a one-dimensional box under coarse-grained position measurements. This behavior is robust against variations in measurement specifics and initial quantum states.
Area of Science:
- Quantum mechanics
- Statistical physics
- Quantum information
Background:
- Understanding equilibration is crucial for quantum systems.
- Coarse-grained measurements introduce unique dynamics.
Purpose of the Study:
- Investigate quantum particle equilibration in a 1D box.
- Analyze behavior under coarse-grained position measurements.
Main Methods:
- Theoretical analysis of a quantum particle in a 1D box.
- Modeling coarse-grained position measurements.
Main Results:
- Equilibration is demonstrated to occur.
- Rapid equilibration times, comparable to wave packet transit time.
- Insignificant sensitivity to measurement details or initial conditions.
Conclusions:
- Quantum particles equilibrate quickly under specific coarse-grained measurements.
- The system exhibits robustness in its equilibration dynamics.
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