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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Quantum Walk in Degenerate Spin Environments.

Johan Carlström¹, Nikolay Prokof'ev^1,2,3, Boris Svistunov^1,3,4

¹Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003 USA.

Physical Review Letters

|July 2, 2016

Summary

We investigated hole propagation in spin environments, finding non-diffusive behavior due to quantum interference. This quantum phenomenon offers new insights for ultracold atom experiments.

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Area of Science:

Quantum physics
Condensed matter physics
Ultracold atomic gases

Background:

Hole propagation is a fundamental problem in quantum many-body systems.
Degenerate (paramagnetic) spin environments present unique challenges for studying particle dynamics.
Ultracold atoms in optical lattices provide a controllable platform for simulating quantum phenomena.

Purpose of the Study:

To investigate the dynamics of a hole in degenerate spin environments.
To explore the non-diffusive nature of hole propagation at short-to-intermediate timescales.
To connect theoretical findings with potential experimental realizations using ultracold atoms.

Main Methods:

Utilized a stochastic-series-type numerical scheme to simulate hole propagation.
Analyzed the probability distribution of the hole's position over time.
Focused on the quantum interference effects influencing the motion.

Main Results:

Observed distinctly non-diffusive propagation of the hole.
Identified spatial and temporal minima in the probability distribution, indicative of quantum interference.
Confirmed that the motion is not ballistic, except for initial moments.

Conclusions:

Quantum interference significantly shapes hole propagation in these systems.
The observed non-diffusive behavior provides a benchmark for theoretical models.
Future experiments with single-atom resolved imaging can explore long-term evolution with high precision.