Trypogeorgos D, Valdés-Curiel A, Spielman I B, Emary C
Joint Quantum Institute, University of Maryland and National Institute of Standards and Technology, College Park, MD 20742, United States of America.
Joint Quantum Centre Durham-Newcastle, School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom.
J Phys A Math Theor. 2018;51. doi: 10.1088/1751-8121/aacc5e.
We describe a technique to emulate the dynamics of two-level -symmetric spin Hamiltonians, replete with gain and loss, using the unitary dynamics of a larger quantum system. The two-level system in question is embedded in a subspace of a four-level Hamiltonian, with the exterior levels acting as reservoirs. The emulation time is normally finite, limited by the depletion of the reservoirs. We show that it is possible to emulate the desired behaviour of the -symmetric Hamiltonian without depleting the reservoir levels, by including an additional coupling between them. This extends the emulation time indefinitely, when in the unbroken symmetry phase of the non-unitary dynamics. We propose a realistic experimental implementation using dynamically decoupled magnetic sublevels of ultracold atoms.
我们描述了一种利用更大量子系统的幺正动力学来模拟具有增益和损耗的两能级$\sigma$-对称自旋哈密顿量动力学的技术。所讨论的两能级系统嵌入在一个四能级哈密顿量的子空间中，外部能级充当储能器。通常，模拟时间是有限的，受储能器耗尽的限制。我们表明，通过在它们之间引入额外的耦合，可以在不耗尽储能器能级的情况下模拟$\sigma$-对称哈密顿量的期望行为。当处于非幺正动力学的未破缺对称相时，这将模拟时间无限延长。我们提出了一种使用超冷原子的动态解耦磁子能级的实际实验实现方案。
