We propose a scheme to simulate a one-dimensional Bose–Hubbard model with a coupled cavity optomechanical system. By eliminating the cavity field under the condition of large detuning, an effective Bose–Hubbard model can be achieved. By adiabatically adjusting the classical pumping, we show that the effective Hamiltonian can fully explain transitions from the Mott-insulating phase to the superfluid phase. In addition, we show that the system allows the quantum state transfer after including the dissipation of the oscillators.

中文翻译：

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使用一维腔光机系统模拟 Bose-Hubbard 模型

我们提出了一种方案来模拟具有耦合腔光机械系统的一维 Bose-Hubbard 模型。通过消除大失谐条件下的腔场，可以获得有效的 Bose-Hubbard 模型。通过绝热调整经典泵浦，我们表明有效哈密顿量可以完全解释从莫特绝缘相到超流体相的转变。此外，我们表明该系统在包括振荡器的耗散后允许量子状态转移。