Observing a Topological Transition in Weak-Measurement-Induced Geometric Phases

Abstract

Measurement plays a quintessential role in the control of quantum systems. Beyond initialization and readout which pertain to projective measurements, weak measurements in particular, through their back-action on the system, may enable various levels of coherent control. The latter ranges from observing quantum trajectories to state dragging and steering. Furthermore, just like the adiabatic evolution of quantum states that is known to induce the Berry phase, sequential weak measurements may lead to path-dependent geometric phases. Here we measure the geometric phases induced by sequences of weak measurements and demonstrate a topological transition in the geometric phase controlled by measurement strength. This connection between weak measurement induced quantum dynamics and topological transitions reveals subtle topological features in measurement-based manipulation of quantum systems. Our protocol could be implemented for classes of operations (e.g. braiding) which are topological in nature. Furthermore, our results open new horizons for measurement-enabled quantum control of many-body topological states.

8 pages, 5 figures

References in corpus (8)

• Charge insensitive qubit design derived from the Cooper pair box
• Progressive field-state collapse and quantum non-demolition photon counting
• Observation of Berry's Phase in a Solid State Qubit
• Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
• Quantum back-action of variable-strength measurement
• High-Fidelity Readout in Circuit Quantum Electrodynamics Using the Jaynes-Cummings Nonlinearity
• Observation of topological transitions in interacting quantum circuits
• Measuring a topological transition in an artificial spin 1/2 system

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• Measurement-Induced Quantum Synchronization and Multiplexing
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• Quantum state engineering by steering in the presence of errors
• Topological transitions of the generalized Pancharatnam-Berry phase
• Geometric phases along quantum trajectories
• How pure can we go with adiabatic state manipulation?
• Creating nonlocality using geometric phases between partially distinguishable photons