Campbell Steve, De Chiara Gabriele, Paternostro Mauro, Palma G Massimo, Fazio Rosario
Centre for Theoretical Atomic, Molecular and Optical Physics, School of Mathematics and Physics, Queen's University, Belfast BT7 1NN, United Kingdom.
NEST, Istituto Nanoscienze-CNR and Dipartimento di Fisica e Chimica, Università degli Studi di Palermo, via Archirafi 36, I-90123 Palermo, Italy.
Phys Rev Lett. 2015 May 1;114(17):177206. doi: 10.1103/PhysRevLett.114.177206.
We study transitionless quantum driving in an infinite-range many-body system described by the Lipkin-Meshkov-Glick model. Despite the correlation length being always infinite the closing of the gap at the critical point makes the driving Hamiltonian of increasing complexity also in this case. To this aim we develop a hybrid strategy combining a shortcut to adiabaticity and optimal control that allows us to achieve remarkably good performance in suppressing the defect production across the phase transition.
我们研究了由Lipkin-Meshkov-Glick模型描述的无限程多体系统中的无跃迁量子驱动。尽管关联长度始终是无限的，但临界点处能隙的闭合使得在这种情况下驱动哈密顿量的复杂度也不断增加。为此，我们开发了一种混合策略，将绝热捷径与最优控制相结合，使我们能够在抑制相变过程中的缺陷产生方面取得非常好的性能。
