Ended up taking an apartment there for $1400/month six months later, and it stayed at that level for 3 years. (And then shot up rapidly afterwards - I left when it hit $2400/month 5 years later, and it's currently renting for $2900/month.) It had gone down so rapidly that its price was underneath the less-swanky complex a block down the street which normally rented for ~$300/month less and had itself cut rents from about $1800/month to $1450/month over those 6 months.
Rents are sticky - landlords try to avoid cutting if they don't have to. But when there's a choice between letting the apartments go vacant and servicing your debt payments, they have to cut, and if there's a shortage of tenants at that time (because everybody's left and gone home) the cuts can be pretty drastic.
I wonder if house prices will also behave similarly. Right now, the "mainstream" market (i.e. the house that working professionals can afford on income and mortgage without being independently wealthy) tops out at about $2.8M-$3M in Mountain View or Los Altos, but there are a lot of houses selling in the $4-6M range that presumably are being bought with stock options. Could perhaps see a collapse of the top end of the market down to the mainstream real estate market if the stock market collapses.