环中少数玻色子手性孤子模型的时间晶体行为模拟
Simulation of time crystal behavior for a few boson chiral soliton model in a ring
AI总结：
针对环中 N=2、3 个玻色子的手性孤子模型，本文通过数值模拟表明，引入不精确的弱位置测量可使自发形成的亮孤子完整绕环数圈，从而实现量子时间晶体行为。
摘要：
我们对环中含有 N=2、3 个玻色子的手性孤子模型进行了数值模拟，这是我们此前关于量子时间晶体的平均场模型的少粒子版本。遵循 Syrwid、Kosior 和 Sacha（SKS）的思路，其概念是：对一个粒子进行精确的位置测量，可导致亮孤子的自发形成，而在时间晶体中，该亮孤子应当能够保持完整地绕环旋转至少几圈。SKS 在其工作中发现，位置测量会导致孤子自发形成，但量子涨落会使孤子随后甚至在尚未完成绕环一周之前就发生衰减。基于此，他们得出时间晶体动力学不可能实现的结论。相比之下，对于我们的少玻色子手性孤子模型，并允许对粒子位置进行不精确（弱）测量，我们证明时间晶体行为是可能的，自发形成的孤子可以绕环旋转数圈。因此，我们认为，在允许弱位置测量的情况下，我们的手性孤子模型可以实现量子时间晶体。
英文摘要：
We present numerical simulations for a chiral soliton model with N=2,3 bosons in a ring, this being a few-particle version of our previous mean-field model for a quantum time crystal. Following Syrwid, Kosior, and Sacha (SKS), the notion is that a precise position measurement of one particle can lead to spontaneous formation of a bright soliton that in a time crystal should rotate intact for at least a few revolutions around the ring. In their work SKS find spontaneous formation of a soliton due to the position measurement, but quantum fluctuations cause the soliton to subsequently decay before it has a chance to perform even one revolution of the ring. Based on this they conclude that time crystal dynamics are impossible. In contrast, for our few boson chiral soliton model, and allowing for imprecise (weak) measurements of the particle position, we show that time crystal behavior is possible allowing for several revolutions of the spontaneously formed soliton around the ring. We therefore argue that our chiral soliton model can realize a quantum time crystal when weak position measurements are allowed for.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
