The EEG tracing of the patient in the sleep laboratory shows that brain waves have slowed to about 1 to 2 cycles per second. In addition, breathing and heart rate have decreased. It is most likely that the patient is

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The description of brain waves slowing to about 1 to 2 cycles per second, along with decreased breathing and heart rate, is characteristic of stages 3 and 4 of non-REM sleep, also known as deep sleep or slow-wave sleep.  These are the deepest stages of sleep. You are relaxed, your breathing and heart rate are slower, and brain waves have slowed.

The EEG Tracing of the Patient in the Sleep Laboratory