论文标题
通过合成的地平线进行热化
Thermalization by a synthetic horizon
论文作者
论文摘要
量子物质模型中的合成视野为探索现代重力理论的基本问题提供了另一种途径。在这里,我们通过在引力环境中瞬时地平线创建瞬时地面及其凝分物质类似物来研究地面态在地平线的出现问题。通过在一维晶格模型中突然淬灭位置依赖性跳跃幅度,我们确定了伴随合成范围形成的热状态的出现。长链的最终温度与相应的未温度相同,但前提是淬火后汉密尔顿式的温度与前淬灭系统的纠缠哈密顿式匹配。基于对即将辐射的详细分析,我们制定了合成范围作为纯热源所需的条件,铺平了一种探索量子力学和重力方面的相互作用的方法。
Synthetic horizons in models for quantum matter provide an alternative route to explore fundamental questions of modern gravitational theory. Here, we apply these concepts to the problem of emergence of thermal quantum states in the presence of a horizon, by studying ground-state thermalization due to instantaneous horizon creation in a gravitational setting and its condensed matter analogue. By a sudden quench to position-dependent hopping amplitudes in a one-dimensional lattice model, we establish the emergence of a thermal state accompanying the formation of a synthetic horizon. The resulting temperature for long chains is shown to be identical to the corresponding Unruh temperature, provided that the post-quench Hamiltonian matches the entanglement Hamiltonian of the pre-quench system. Based on detailed analysis of the outgoing radiation we formulate the conditions required for the synthetic horizon to behave as a purely thermal source, paving a way to explore this interplay of quantum-mechanical and gravitational aspects experimentally.