Probing non-equilibrium topological order on a quantum processor

Fuente: arXiv
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Main Authors: Will, M., Cochran, T. A., Rosenberg, E., Jobst, B., Eassa, N. M, Roushan, P., Knap, M., Gammon-Smith, A., Pollmann, F.
Format: Preprint
Published: 2025
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author Will, M.
Cochran, T. A.
Rosenberg, E.
Jobst, B.
Eassa, N. M
Roushan, P.
Knap, M.
Gammon-Smith, A.
Pollmann, F.
author_facet Will, M.
Cochran, T. A.
Rosenberg, E.
Jobst, B.
Eassa, N. M
Roushan, P.
Knap, M.
Gammon-Smith, A.
Pollmann, F.
contents Out-of-equilibrium phases in many-body systems constitute a new paradigm in quantum matter - they exhibit dynamical properties that may otherwise be forbidden by equilibrium thermodynamics. Among these non-equilibrium phases are periodically driven (Floquet) systems [1-5], which are generically difficult to simulate classically because of their high entanglement. Here we realize a Floquet topologically ordered state theoretically proposed in ref. [6], on an array of superconducting qubits. We image the characteristic dynamics of its chiral edge modes and characterize its emergent anyonic excitations. Devising an interferometric algorithm allows us to introduce and measure a bulk topological invariant to probe the dynamical transmutation of anyons for system sizes up to 58 qubits. Our work demonstrates that quantum processors can provide key insights into the thus-far largely unexplored landscape of highly entangled non-equilibrium phases of matter.
format Preprint
id arxiv_https___arxiv_org_abs_2501_18461
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Probing non-equilibrium topological order on a quantum processor
Will, M.
Cochran, T. A.
Rosenberg, E.
Jobst, B.
Eassa, N. M
Roushan, P.
Knap, M.
Gammon-Smith, A.
Pollmann, F.
Quantum Physics
Other Condensed Matter
Out-of-equilibrium phases in many-body systems constitute a new paradigm in quantum matter - they exhibit dynamical properties that may otherwise be forbidden by equilibrium thermodynamics. Among these non-equilibrium phases are periodically driven (Floquet) systems [1-5], which are generically difficult to simulate classically because of their high entanglement. Here we realize a Floquet topologically ordered state theoretically proposed in ref. [6], on an array of superconducting qubits. We image the characteristic dynamics of its chiral edge modes and characterize its emergent anyonic excitations. Devising an interferometric algorithm allows us to introduce and measure a bulk topological invariant to probe the dynamical transmutation of anyons for system sizes up to 58 qubits. Our work demonstrates that quantum processors can provide key insights into the thus-far largely unexplored landscape of highly entangled non-equilibrium phases of matter.
title Probing non-equilibrium topological order on a quantum processor
topic Quantum Physics
Other Condensed Matter
url https://arxiv.org/abs/2501.18461