This article confuses depression and bipolar disorder quite a bit. They're inducing mania through sleep deprivation in patients with bipolar disorder going through a period of depression. This is somewhat dangerous, as mania can have severe consequences. The article even states that there's a 95% relapse into depression for those not taking lithium. Only people with BPD take lithium. It's not about the lithium, it's about that population having BPD.
DO NOT TRY THIS IF YOU HAVE BIPOLAR DISORDER WITHOUT MEDICAL SUPERVISION. Inducing mania could ruin your life. If you don't have BPD, then this likely won't work anyway.
I have several family members with BPD. Irregular sleep schedule is a major warning sign that mania is coming on, and interrupted sleep schedule can induce mania.
I can see why you might try this in a controlled setting, and I'm not saying it doesn't work. I'm just saying that this is very dangerous, and should not be done without qualified medical supervision.