在复合少体系统中有效地驱动相互作用
Driving interactions efficiently in a composite few-body system
摘要:
我们研究如何有效地控制一个相互作用的少体系统组成的三个谐波被困玻色子。具体来说,我们调查的过程中调制粒子间的相互作用,以驱动一个最初的非相互作用的状态,强相互作用的一个,这是一个选定的哈密顿本征态。我们还表明,对于不平衡的子系统,其中一个可以单独控制不同的物种间和物种内的相互作用,复杂的动力学起源时的对称性的基态相分离被打破。然而,由于驱动动力学太快会导致最终状态的不必要的激发,我们使用绝热性的捷径来优化驱动过程,这些捷径旨在减少相互作用斜坡结束时的这些激发,确保达到目标本征态。
英文摘要:
We study how to efficiently control an interacting few-body system consisting of three harmonically trapped bosons. Specifically we investigate the process of modulating the interparticle interactions to drive an initially non-interacting state to a strongly interacting one, which is an eigenstate of a chosen Hamiltonian. We also show that for unbalanced subsystems, where one can individually control the different inter- and intra-species interactions, complex dynamics originates when the symmetry of the ground state is broken by phase separation. However, as driving the dynamics too quickly can result in unwanted excitations of the final state, we optimize the driven processes using shortcuts to adiabaticity, which are designed to reduce these excitations at the end of the interaction ramp ensuring that the target eigenstate is reached.
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