Sterilize two quart jars, you won't be canning these but you need them clean.
Slice off the stem and pointy ends of the peppers, slice peppers into rings and place in a large mixing bowl.
In a sauce pan, add the water, sugar, salt, peppercorns, bay leaves, and vinegar and bring brine to a boil.
While the brine is heating, toss the carrot, garlic, onion, and olive oil with the jalapenos, then place mixture into 2 quart jars.
Once the brine is boiling, remove the bay leaves and place one into each jar. Pour the hot brine into the quart jars.
Leave jars on the counter, with no lids to cool to room temperature, then add the lids and place in the fridge for at least 1 week, 2 weeks is better to allow the flavors to really blend.