Non-Abelian adiabatic geometric transformations in a cold Strontium gas

Abstract

Topology, geometry, and gauge fields play key roles in quantum physics as exemplified by fundamental phenomena such as the Aharonov-Bohm effect, the integer quantum Hall effect, the spin Hall, and topological insulators. The concept of topological protection has also become a salient ingredient in many schemes for quantum information processing and fault-tolerant quantum computation. The physical properties of such systems crucially depend on the symmetry group of the underlying holonomy. We study here a laser-cooled gas of strontium atoms coupled to laser fields through a 4-level resonant tripod scheme. By cycling the relative phases of the tripod beams, we realize non-Abelian SU(2) geometrical transformations acting on the dark-states of the system and demonstrate their non-Abelian character. We also reveal how the gauge field imprinted on the atoms impact their internal state dynamics. It leads to a new thermometry method based on the interferometric displacement of atoms in the tripod beams.

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• Second Chern Number and Non-Abelian Berry Phase in Topological Superconducting Systems
• Wave-packet Dynamics in Synthetic Non-Abelian Gauge Fields
• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Two Dark Paths in a Trapped Ion
• Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field
• Noncyclic Geometric Quantum Gates with Smooth Paths via Invariant-based Shortcuts
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Topological optical skyrmion transfer to matter
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• Adiabatic spin-dependent momentum transfer in an SU(N) degenerate Fermi gas
• Nonadiabatic Holonomic Quantum Computation via Path Optimization
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• Nature of interference between Autler-Townes peaks in multi-level system
• Investigation of Floquet engineered non-Abelian geometric phase for holonomic quantum computing
• An SU(2) geometric phase induced by periodically driven Raman process in an ultracold dilute Bose gas
• An atomic test of higher-order interference
• Non-adiabatic holonomic quantum operations in continuous variable systems
• Evolution of an ultracold gas in a non-Abelian gauge fields: Finite temperature effect
• Datta-Das transistor for atomtronic circuits using artificial gauge fields
• Geometric Ramsey Interferometry with a Tripod Scheme
• How pure can we go with adiabatic state manipulation?
• Universal quantum gates by nonadiabatic holonomic evolution for the surface electron
• Feshbach resonances of large mass-imbalance Er-Li mixtures
• Separation of quantum time evolution into holonomic and dynamical parts
• Experimental implementation of universal holonomic quantum computation on solid-state spins with optimal control
• Mesoscopic scattering dynamics under generic uniform SU(2) gauge fields: Spin-momentum relaxation and coherent backscattering
• Optical lattice with spin-dependent sub-wavelength barriers
• Geometric and holonomic quantum computation