论文标题
量子阶梯中的主要嫌疑人
Prime Suspects in a Quantum Ladder
论文作者
论文摘要
在这封信中，我们建立了一个暗示性的数字理论解释，对由旋转1/2的N耦合链制成的量子梯子系统进行解释。使用硬核玻色子代表和由磁场制成的腿部 - 哈米尔顿，我们可以与旋转$ s_a $ prime $ p_a $相关联，以便将链条成为无正方形整数的量子寄存器。梯级汉密尔顿人涉及下一个邻里连锁店与股票排斥互动之间的置换术语。该系统具有不同的阶段；特别是有一个基态是第一n个质数的连贯叠加。我们还讨论了具有耗散性lindblad动力学的开放量子系统的实现。
In this Letter we set up a suggestive number theory interpretation of a quantum ladder system made of N coupled chains of spin 1/2. Using the hard-core boson representation and a leg-Hamiltonian made of a magnetic field and a hopping term, we can associate to the spins $s_a$ the prime numbers $p_a$ so that the chains become quantum registers for square-free integers. The rung Hamiltonian involves permutation terms between next neighborhood chains and a coprime repulsive interaction. The system has various phases; in particular there is one whose ground state is a coherent superposition of the first N prime numbers. We also discuss the realization of such a model in terms of an open quantum system with a dissipative Lindblad dynamics.
