We consider strong two-body losses in bosonic gases trapped in one-dimensional optical lattices. We exploit the separation of timescales typical of a system in the many-body quantum Zeno regime to establish a connection with the theory of the time-dependent generalized Gibbs ensemble. Our main result is a simple set of rate equations that capture the simultaneous action of coherent evolution and two-body losses. This treatment gives an accurate description of the dynamics of a gas prepared in a Mott insulating state and shows that its long-time behavior deviates significantly from mean-field analyses. The possibility of observing our predictions in an experiment with ${}^{174}\mathrm{Yb}$ in a metastable state is also discussed.

中文翻译：

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有损一维量子气体中的强相关性：从量子芝诺效应到广义吉布斯系综

我们考虑被困在一维光学晶格中的玻色气体中的强二体损失。我们利用多体量子芝诺体系中系统典型的时间尺度分离来建立与时间相关广义吉布斯系综理论的联系。我们的主要结果是一组简单的速率方程，可以捕捉相干演化和双体损失的同时作用。这种处理准确描述了在莫特绝缘状态下制备的气体的动力学，并表明其长期行为与平均场分析显着不同。在实验中观察我们的预测的可能性${}^{174}镝$ 还讨论了处于亚稳态。