Geometrical dephasing is distinct from dynamical dephasing in that it depends on the trajectory traversed, hence it reverses its sign upon flipping the direction in which the path is traced. Here we study sequences of generalized (weak) measurements that steer a system in a closed trajectory. The readout process is marked by fluctuations, giving rise to dephasing. Rather than classifying the latter as “dynamical” and “geometrical,” we identify a contribution which is invariant under reversing the sequence ordering and, in analogy with geometrical dephasing, one which flips its sign upon the reversal of the winding direction, possibly resulting in partial suppression of dephasing (i.e., “coherency enhancement”). This dephasing asymmetry (under winding reversal) is a manifestation of intrinsic chirality, which weak measurements can (and generically do) possess. Furthermore, the dephasing diverges at certain protocol parameters, marking topological transitions in the measurement-induced phase factor.

中文翻译：

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弱测量引起的不对称移相：内在测量手性的表现

几何移相与动态移相的不同之处在于它取决于所穿过的轨迹，因此它在翻转跟踪路径的方向时反转其符号。在这里，我们研究了在封闭轨迹中引导系统的广义（弱）测量序列。读出过程以波动为标志，引起移相。我们没有将后者归类为“动态的”和“几何的”，而是确定了在反转序列排序时不变的贡献，并且类似于几何去相，在反转缠绕方向时反转其符号，可能导致去相位的部分抑制（即“相干性增强”）。这种相移不对称（在绕组反转下）是内在手性的表现，弱测量可以（并且通常确实）拥有哪些。此外，移相在某些协议参数处发散，标志着测量引起的相位因子的拓扑转变。