A few things will determine how soon after bottling you can drink your beer. Some beers will mature quicker than others. Usually, the more expensive beers that use a better quality yeast will mature and age quicker than the cheaper ones.
Storage area and temperature are also vital to improving the speed with which your bottles of precious amber ale mature. In summer I’ve know some beers to be quite palatable and mature after being in the bottle for only two weeks, however the longer the better. After bottling your beer store them in a warm area in winter and a cool area in summer. If you can possibly leave them for 4-6-8 weeks you will notice a big improvement in the result.
Remember to pour carefully and avoid stirring up any sediment. The use of finings will also help the sediment settle in the bottom of your bottle.