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arXiv 2010.09201quant-ph
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与玻色子环境强相互作用的量子比特:热态几何

A qubit strongly interacting with a bosonic environment: Geometry of thermal states

Patrick Lee Orman, Ryoichi Kawai

摘要:

热力学的标准理论指出,与热环境接触的量子系统弛豫到称为吉布斯态的平衡态,其中在系统的能量本征基中发生退相干。当系统与环境之间的相互作用较强时,可以达到不同的平衡态,该平衡态在系统能量本征基中不是对角的。Zurek的einselection理论预言,在强耦合状态下,退相干发生在所谓的指针基中,这可以看作是环境对系统的连续测量。因此,在强耦合机制下的热态预计是对角的指针状态,而不是能量本征态。我们已经假设,在强耦合极限的热态是一个吉布斯状态投影到指针的基础上,并证明了这一点与一个简单的模型的单量子比特强烈相互作用的玻色子环境。

英文摘要:

A standard theory of thermodynamics states that a quantum system in contact with a thermal environment relaxes to the equilibrium state known as the Gibbs state wherein decoherence occurs in the system's energy eigenbasis. When the interaction between the system and environment is strong, a different equilibrium state can be reached that is not diagonal in the system energy eigenbasis. Zurek's theory of einselection predicts that the decoherence takes place in the so-called pointer basis under the strong coupling regime, which can be viewed as continuous measurement of the system by the environment. The thermal state under the strong coupling regime is thus expected to be diagonal in the pointer states rather than energy eigenstates. We have postulated that the thermals state in the strong coupling limit is a Gibbs state projected onto the pointer basis and have demonstrated this with a simple model of single qubit strongly interacting with a bosonic environment.

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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