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The phrase 与此同时 (yǔ cǐ tóng shí) translates to "at the same time" or "simultaneously" in English. It is used to indicate that two or more actions or events occur concurrently. This phrase is often employed to connect clauses in a sentence, emphasizing the simultaneous nature of the actions being described.
For example, in the sentence 太阳落山了，几乎与此同时下起了大雨 (The sun has set, and almost at the same time, it started to rain), 与此同时 highlights that the sunset and the onset of rain happened closely together in time.
Similarly, in the sentence 几个月之后，他的眼睛开始不停地流眼泪，与此同时他的视力也变得越来越差 (A few months later, his eyes began to water continuously, and at the same time, his vision also became worse), 与此同时 connects the two developments regarding the person's health, indicating that both symptoms occurred together.
In summary, 与此同时 serves as a useful conjunction in Chinese to express simultaneous actions or events, enhancing the clarity and flow of sentences.