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arXiv 2408.00635quant-ph
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有限温度下开放量子系统跨一阶和二阶量子相变的驱动

Driving of an open quantum system at finite temperature across first- and second-order quantum phase transitions

Felipe Matus, Pavel Cejnar

AI总结:

本文研究有限温度下开放全连接量子比特系统跨一阶和二阶量子相变的驱动过程,利用分层运动方程非微扰方法,发现热浴与避免交叉模式可显著提升目标基态制备保真度。

摘要:

一个在非零温度下的开放全连接量子比特系统,在有限时间间隔内,沿着其控制参数空间中的各种路径被驱动。该驱动导致系统从因子化基态相穿越到纠缠基态相,跨越一阶和二阶量子相变的有限尺寸前兆,旨在以最大保真度在最终参数点制备系统的复杂基态。在驱动过程中,系统与恒定温度的热浴耦合,动力学通过分层运动方程方法以非微扰方式确定。研究表明,热浴的存在与影响量子相变附近参数区域中基态和激发态的特定避免交叉模式相结合,可能显著提高目标基态制备的保真度。

英文摘要:

An open fully connected system of qubits at nonzero temperature is driven within a finite time interval along various paths in the space of its control parameters. The driving leads across finite-size precursors of first- and second-order quantum phase transition from factorized to entangled ground-state phases, aiming at the preparation of the complex ground state of the system at the final parameter point with maximal fidelity. During the drive, the system is coupled to a heat bath at a constant temperature, the dynamics being determined in a nonperturbative way by the method of Hierarchical Equations of Motion. It is shown that the presence of the heat bath in combination with specific patterns of avoided crossings affecting the ground and excited states in the parameter region around the quantum phase transition may considerably improve the fidelity of preparation of the target ground state.

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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