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arXiv quant-ph/0703049quant-ph
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多体系统临界点附近辅助量子比特的几何相位

Geometric phases induced in auxiliary qubits by many-body systems near its critical points

X. X. Yi, W. Wang

摘要:

计算和讨论了多体系统在辅助量子比特中诱导的几何相位。考虑了辅助量子比特与多体系统之间的两种耦合,分别导致量子比特中的退相和耗散。作为例子,我们考虑XY自旋链与量子比特的退相耦合,给出并讨论了量子比特中的几何相位。结果表明,几何相位可以用来表征多体系统的临界点,并且随着多体系统参数远离临界点,几何相位趋于零。

英文摘要:

The geometric phase induced in an auxiliary qubit by a many-body system is calculated and discussed. Two kinds of coupling between the auxiliary qubit and the many-body system are considered, which lead to dephasing and dissipation in the qubit, respectively. As an example, we consider the XY spin-chain dephasingly couple to a qubit, the geometric phase induced in the qubit is presented and discussed. The results show that the geometric phase might be used to signal the critical points of the many-body system, and it tends to zero with the parameters of the many-body system going away from the critical points.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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