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arXiv · 2605.08350

Quantum trajectory simulation of two-dimensional non-equilibrium steady states with a trapped ion quantum processor

Anna Dalmasso·Arash Jafarizadeh·Julian Boesl·Jared Jeyaretnam·Sheng-Hsuan Lin·Andrew G. Green·Frank Pollmann·Michael Knap·Juan P. Garrahan·Henrik Dreyer·Adam Gammon-Smith
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Abstract

Digital quantum computers offer a promising route for studying complex many-body systems that are otherwise inaccessible by their classical counterparts. Capabilities including mid-circuit measurements and feedback allow for simulating the dynamics of interacting open quantum systems. Using the Quantinuum System Model H1 trapped-ion quantum computer, we experimentally realise quantum trajectories for a two-dimensional system of (interacting) particles-hard-core bosons or fermions-undergoing stochastic driving at a source and drain at opposite corners of a square lattice. We study the non-equilibrium steady state with persistent current resulting from the this in/out flow of particles. The particle statistics, presence of interactions, and introduction of a magnetic field produce measurable effects on the steady state. Our findings highlight the rich physics in this corner driven two-dimensional setup and showcases both the power and current limitations of quantum computers as a platform to study it.

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Anna Dalmasso, Arash Jafarizadeh, Julian Boesl, Jared Jeyaretnam, Sheng-Hsuan Lin, Andrew G. Green, Frank Pollmann, Michael Knap, Juan P. Garrahan, Henrik Dreyer, Adam Gammon-Smith. 2026-05-08. Quantum trajectory simulation of two-dimensional non-equilibrium steady states with a trapped ion quantum processor. https://arxiv.org/abs/2605.08350

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