Quantum

Kardar-Parisi-Zhang superdiffusion in chaotic quantum circuits

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Briefings

A new study constructs chaotic quantum circuits exhibiting superdiffusive transport with a dynamical exponent of z=3/2 within the full Kardar-Parisi-Zhang universality class. This result is enabled by an equilibrium current driven by an inhomogeneous conserved density dependent on chemical potential. The findings are supported by nonlinear fluctuating hydrodynamics and verified via tensor-network simulations of two-site spin-1 (qutrit) circuits, which reproduce the parameter-free KPZ scaling profile. A three-site spin-1/2 (qubit) circuit demonstrates that transport shifts between diffusive and superdiffusive regimes while long-lived coherent quasiparticles delay the convergence to KPZ scaling.

Key points

• The study constructs chaotic quantum circuits exhibiting superdiffusive transport with a dynamical exponent z=3/2 in the full KPZ universality class.
• This behavior is enabled by an equilibrium current associated with an inhomogeneous conserved density having a nontrivial dependence on chemical potential.

Context and limitations

Results are derived from tensor-network simulations and theoretical modeling; experimental verification remains pending. The three-site qubit circuit shows transport regime variation but long-lived quasiparticles delay KPZ convergence.

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