They were responding to reports of a robbery in progress, after the manager came in to check on the restaurant during its closure.
Over the course of the four days, Mr Ortiz appears to have made a significant dent in the restaurant's supplies.
"Management estimated the loss of food and beverages at several thousand dollars. The loss includes an estimated 70 bottles of stolen or consumed liquor," the police said in a statement.
By anyone's standards, 70 bottles of liquor is plenty, let alone over the course of a matter of days.
The New Haven Police said in a statement: "Officers responded to a burglary in progress at a downtown Crown Street restaurant.
"The caller reported finding an unknown man, later identified as Louis Angel Ortiz, asleep in the closed restaurant.
"Arriving officers located Ortiz nearby on Crown Street and detained him. The 42-year-old New Haven man was found in possession of a bottle of the restaurant's rum.
"Investigators reviewed security video footage which confirmed the initial burglary occurred several days prior on Saturday when Ortiz made entry through a side window of the restaurant.
"Officers learned Ortiz helped himself over the course of four days to the restaurant's food, liquor, and beer.
"In addition to eating and drinking at the restaurant, Ortiz removed beverages and property from the building."
Mr Ortiz has been charged with third degree burglary, third degree larceny, and first degree criminal mischief.