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测量选择性动力学对称性破缺

Measurement-Selective Dynamical Symmetry Breaking

Polina Kofman, Elvira Bilokon, Valeriia Bilokon, Denys I. Bondar

arXiv 2607.19582首次发表:更新:

发表机构

Departamento de Fisica, Instituto Superior Tecnico, Universidade de Lisboa; B. Verkin ILTPE of NASU; Department of Physics and Engineering Physics, Tulane University; Akhiezer Institute for Theoretical Physics, NSC KIPT(里斯本大学高级理工学院物理系; 乌克兰国家科学院B.维尔基克低溫物理研究所; 杜兰大学物理与工程物理系; 国立哈尔科夫物理与技术研究所阿赫伊泽尔理论物理研究所)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究连续测量对开放量子系统动力学对称性的影响,利用自旋 - 1 系统隧穿,通过测量不同可观测量实现对称性的保留或打破,在林德布拉德框架内阐述并经模拟验证,证明其可作为控制动力学对称性的选择性工具。

AI 中文摘要

连续测量通常与退相干和对称性丧失相关。本文表明,弱连续测量可以有选择性地起作用:取决于所测量的可观测量,它们可能保留或消除初始镜像态之间的动力学关系。利用自旋 - 1 系统中\(| + 1\rangle\)和\(| - 1\rangle\)态之间的隧穿,证明在存在纵向偏置时,对\(S_x\)和\(S_y\)的测量会打破隧穿动力学的对称性,而对\(S_z\)的测量使其保持不变。在林德布拉德框架内阐述此行为,通过数值模拟支持,并在双量子比特量子电路中使用 Trotter 演化和随机集体旋转重现耗散动力学。结果表明连续测量是控制开放量子系统中动力学对称性的选择性工具。

英文摘要

Continuous measurement is commonly associated with decoherence and the loss of symmetry. Here, we show that weak continuous measurements can instead act selectively: depending on the measured observable, they may either preserve or remove a dynamical relation between initially mirrored states. Using tunneling between the $|+1\rangle$ and $|-1\rangle$ states of a spin-1 system, we demonstrate that measurements of $S_x$ and $S_y$ break the symmetry of the tunneling dynamics in the presence of a longitudinal bias, whereas measurement of $S_z$ leaves it intact. We formulate this behavior within the Lindblad framework, support it with numerical simulations, and reproduce the dissipative dynamics in a two-qubit quantum circuit using Trotterized evolution and stochastic collective rotations. Our results establish continuous measurement as a selective tool for controlling dynamical symmetry in open quantum systems.

Comments7 pages, 6 figures

论文原文

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