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Probing non-equilibrium topological order on a quantum processor
M Will1,2, T A Cochran3, E Rosenberg4
1TUM School of Natural Sciences, Physics Department, Technical University of Munich, Garching, Germany.
Researchers created a novel out-of-equilibrium quantum phase using superconducting qubits. This Floquet topological state allowed them to observe exotic anyonic excitations and their dynamics, offering new insights into quantum matter.
Area of Science:
- Quantum physics
- Condensed matter physics
- Quantum information science
Background:
- Out-of-equilibrium quantum systems exhibit unique properties beyond classical thermodynamics.
- Periodically driven (Floquet) systems are challenging for classical simulation due to high entanglement.
- Topological order in quantum matter offers robust properties resistant to local perturbations.
Purpose of the Study:
- To experimentally realize a theoretically proposed Floquet topologically ordered state.
- To characterize the emergent anyonic excitations and their dynamics within this state.
- To probe the behavior of these non-equilibrium phases using quantum processors.
Main Methods:
- Implementation of the Floquet topological state on an array of superconducting qubits.
- Imaging of chiral edge mode dynamics.
- Characterization of emergent anyonic excitations.
- Development of an interferometric algorithm to measure bulk topological invariants.
Main Results:
- Successful realization of the Floquet topologically ordered state.
- Observation and characterization of chiral edge mode dynamics.
- Demonstration of dynamical transmutation of anyons.
- Measurement of bulk topological invariants for system sizes up to 58 qubits.
Conclusions:
- Quantum processors can realize and probe complex non-equilibrium quantum phases.
- The study provides experimental insights into the dynamics of anyons in Floquet topological states.
- This work opens avenues for exploring the landscape of highly entangled non-equilibrium matter.
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