Quantum

Universality in Quantum Many-Body Spin Ratchets

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Briefings

A new study proves that the drift velocity in quantum spin ratchets is exactly universal, requiring only translation invariance and U(1) symmetry. This applies to both integrable and non-integrable SU(2)-symmetric circuits, with the result exact at all times. The research establishes that the circuit must be translation-invariant on average to maintain this prediction, and breaking this symmetry immediately causes deviations.

Key points

• The drift velocity in quantum many-body spin ratchets is exactly universal across integrable and non-integrable SU(2)-symmetric circuits.
• The result holds at all times and requires only translation invariance and U(1) symmetry as minimal conditions.

Context

This research addresses chiral transport in alternating spin chains with two distinct spin types, breaking parity symmetry. The findings clarify the exact conditions for universal drift velocity in quantum circuits.

Limitations

The study covers only SU(2)-symmetric circuits; non-integrable cases are mentioned as conjectured to share the property but not yet proven. Results are exact at all times, not forecasts. Translation invariance on average is required, and breaking this symmetry immediately causes deviations.

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