论文标题
通过矩阵乘积状态表示，在总纽扣模型中模拟状态演变的模拟
Simulation of state evolutions in Gross-Neveu model by matrix product state representation
论文作者
论文摘要
Schrodinger图片中介绍了一种量子算法，用于模拟两种味道巨大的毛类模型的实时动力学。我们通过应用矩阵产品状态表示来在经典计算机上实现模拟。在初始状态下，在时空坐标中发现了位点上最多四个颗粒的实时演变。该状态的演变受模型的费米质量和耦合常数的有效影响。尤其是当费米的质量足够小并且耦合足够强的时候，基本费米子从两弗米族和四弗里术的初始状态从太空中进行了同步。这些也是在文献中发现由基本费米对的结合状态自动出现的条件。
A quantum algorithm to simulate the real time dynamics of two-flavor massive Gross-Neveu model is presented in Schrodinger picture. We implement the simulation on a classic computer by applying the matrix product state representation. The real time evolutions of up to four particles on a site in initial state are figured out in space-time coordinate. The state evolutions are effectively affected by fermion mass and coupling constant of the model. Especially when the mass of fermion is small enough and the coupling is strong enough, the fundamental fermions evolve synchronistically in space from the two-fermion and four-fermion initial states. These are also the conditions on which the bound states made up of fundamental fermion pairs were found to arise automatically in the literatures.
