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首页> 外文期刊>Journal of statistical mechanics: Theory and Experiment >PAPER: Quantum statistical physics, condensed matter, integrable systems Thermodynamics of a periodically driven qubit
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PAPER: Quantum statistical physics, condensed matter, integrable systems Thermodynamics of a periodically driven qubit

机译：纸质：量子统计物理，凝聚态，可集成系统定期驱动的qubit的热力学

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摘要

We present a new approach to the open system dynamics of a periodically driven qubit in contact with a temperature bath. We are specifically interested in the thermodynamics of the qubit. It is well known that by combining the Markovian approximation with Floquet theory it is possible to derive a stochastic Schr?dinger equation in C2 for the state of the qubit. We follow here a different approach. We use Floquet theory to embed the time-non autonomous qubit dynamics into time-autonomous yet infinite dimensional dynamics. We refer to the resulting infinite dimensional system as the dressed-qubit. Using the Markovian approximation we derive the stochastic Schr?dinger equation for the dressed-qubit. The advantage of our approach is that the jump operators are ladder operators of the Hamiltonian. This simplifies the formulation of the thermodynamics. We use the thermodynamics of the infinite dimensional system to recover the thermodynamical description for the driven qubit. We compare our results with the existing literature and recover the known results.
机译：我们在与温度浴缸接触的周期性驱动的Qubit的开放系统动态的新方法。我们专门对Qubit的热力学感兴趣。众所周知，通过将马尔科维亚的近似与浮子理论组合，可以在C2中导出随机的SCHR？对于量子位的状态。我们在这里遵循不同的方法。我们使用Floquet理论将时间 - 非自主Qubit动态嵌入到时间自主无限的尺寸动态。我们将由此产生的无限尺寸系统称为衣服 - QUB。使用Markovian近似我们导出了随机的SCHR？戴上衣服的Qubit的Dinger方程。我们的方法的优势在于跳跃运营商是汉密尔顿人的梯子运营商。这简化了热力学的配方。我们使用无限尺寸系统的热力学来恢复驱动量子位的热力学描述。我们将结果与现有文献进行比较并恢复已知结果。

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