Numerical evaluation and robustness of the quantum mean-force Gibbs state
Numerical evaluation and robustness of the quantum mean-force Gibbs state
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DOI：
10.1103/physreva.106.012204
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发表时间：
2021-12
影响因子：
2.9
通讯作者：
Yiu-Fung Chiu;A. Strathearn;Jonathan Keeling
中科院分区：
文献类型：
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作者：
Yiu-Fung Chiu;A. Strathearn;Jonathan Keeling
我们引入了一种数值方法来确定与储层强耦合的量子系统的平均力 (HMF) 吉布斯态的哈密顿量。该方法采用时间演化矩阵乘积算子（TEMPO）算法来适应虚时间传播。通过比较广义自旋玻色子模型的实时和虚时传播，我们确认 HMF 吉布斯状态正确地预测了稳态。我们证明了强耦合时数值动力学与极化子主方程相匹配。我们通过探索量子位之间由储层引起的纠缠来说明虚数时间 TEMPO 方法的潜力。
We introduce a numerical method to determine the Hamiltonian of Mean Force (HMF) Gibbs state for a quantum system strongly coupled to a reservoir. The method adapts the Time Evolving Matrix Product Operator (TEMPO) algorithm to imaginary time propagation. By comparing the real-time and imaginary-time propagation for a generalized spin-boson model, we confirm that the HMF Gibbs state correctly predicts the steady state. We show that the numerical dynamics match the polaron master equation at strong coupling. We illustrate the potential of the imaginary-time TEMPO approach by exploring reservoir-induced entanglement between qubits.