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Discover Ludwig"sleep debt" is a correct and usable phrase in written English.
You can use it in any context where you are discussing someone's lack of sufficient sleep. For example, "Karen had been working extra hours and nights, so she had a large sleep debt to make up."
Dictionary
sleep debt
noun
The cumulative effect of not getting enough sleep.
Exact(60)
Most shift workers have a permanent sleep debt.
But paying off a sleep debt is not as simple as sleeping late on a Saturday.
The result was a perpetual sleep debt as we struggled to keep up with the fire hose of information.
Sleep researcher William Dement (1990) once said, "The national sleep debt is larger and more important than the national debt".
Although some young people weren't too bothered about being in sleep "debt", others used the information really positively.
THE BOTTOM LINE It takes more than a night of extra sleep to pay off a sleep debt.
2. Get as much sleep as you can before travel to avoid "sleep debt," and then sleep more during travel.
With the typical college student's sleep debt, one beer has the impairing effect of a six-pack.
The first night, the subjects slept an average of 11 hours a night, probably repaying a chronic sleep debt.
Depression is significantly associated with sleep problems, albeit no sleep debt.
Loss of HV in PI might be due to chronic hyperarousal and/or chronic sleep debt.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com