论文标题

能量捕获的伊辛模型

Energy trapped Ising model

论文作者

Amoretti, Andrea, Costagliola, Gianluca, Magnoli, Nicodemo, Scanavino, Marcello

论文摘要

在本文中,我们考虑了与能量操作员扰动的3D Ising模型,并与非均匀的谐波电位充当陷阱,表明该系统满足了陷阱大小的缩放行为。最终,我们计算了相关器$ \langleσ(z)σ(0)\ rangle $,$ \langleε(z)ε(0)\ rangle $和$ \langleσ(z)ε(0)\ rangle $,靠近符号扰动理论。将此结果与蒙特卡洛模拟相结合,我们已经能够估算OPE系数$ C^σ_{σε} $,$ C^ε_{σσ} $和$ C^ε_{εεεPIAM} $,找到与[1,2]中获得的值良好的一致性。

In this paper we have considered the 3D Ising model perturbed with the energy operator coupled with a non uniform harmonic potential acting as a trap, showing that this system satisfies the trap-size scaling behavior. Eventually, we have computed the correlators $\langle σ(z) σ(0)\rangle$, $ \langle ε(z) ε(0)\rangle$ and $\langle σ(z) ε(0)\rangle$ near the critical point by means of conformal perturbation theory. Combining this result with Monte Carlo simulations, we have been able to estimate the OPE coefficients $C^σ_{σε}$, $C^ε_{σσ}$ and $C^ε_{εε}$, finding a good agreement with the values obtained in [1,2].

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