Measuring geometric phases with a dynamical quantum Zeno effect in a Bose-Einstein condensate

Abstract

A closed-trajectory evolution of a quantum state generally imprints a phase that contains both dynamical and geometrical contributions. While dynamical phases depend on the reference system, geometric phase factors are uniquely defined by the properties of the outlined trajectory. Here, we generate and measure geometric phases in a Bose-Einstein condensate of ${}^{87}$Rb using a combination of dynamical quantum Zeno effect and measurement-free evolution. We show that the dynamical quantum Zeno effect can inhibit the formation of a geometric phase without altering the dynamical phase. This can be used to extract the geometric Aharonov-Anandan phase from any closed-trajectory evolution without requiring knowledge or control of the Hamiltonian.

arXiv comment4+3 pages, 4+3 figures

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Cited by in corpus (5)

• Dynamical quantum phase transition in a system of non-interacting bosons
• Dynamical Topological Phase Transition in a Bose-Einstein Condensate
• Quantum Zeno effects across a parity-time symmetry breaking transition in atomic momentum space
• Interplay between geometric and dynamic phases in a single spin system
• Creating nonlocality using geometric phases between partially distinguishable photons