Weak-measurement-induced phases and dephasing: broken symmetry of the geometric phase
arXiv:2006.14641 · doi:10.1103/PhysRevResearch.3.043045
Abstract
Coherent steering of a quantum state, induced by a sequence of weak measurements, has become an active area of theoretical and experimental study. For a closed steered trajectory, the underlying phase factors involve both geometrical and dynamical terms. Furthermore, considering the reversal of the order of the measurement sequence, such a phase comprises a symmetric and an antisymmetric term. Superseding common wisdom, we show that the symmetric and the antisymmetric components do not correspond to the dynamical and geometrical parts respectively. Addressing a broad class of measurement protocols, we further investigate the dependence of the induced phases on the measurement parameters (e.g., the measurement strength). We find transitions between different topologically distinct sectors, defined by integer-valued winding numbers, and show that the transitions are accompanied by diverging dephasing. We propose experimental protocols to observe these effects.
arXiv comment22 pages, 15 figures. Comments are welcome
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- Driving quantum systems with repeated conditional measurements
- Weak-measurement-induced asymmetric dephasing: manifestation of intrinsic measurement chirality
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- How pure can we go with adiabatic state manipulation?