If you installed a deep link 301 redirect, i.e. http://www.example.com/sub1/sub2/page.html points to https://www.example.com/sub1/sub2/page.html, the larger part of the link juice you have on the http version will be transferred to the https version. Also people who are visiting you through external links, bookmarks etc won't see a change.
A little bit is going to happen though. Due to the redirect, the value of the link juice will be somewhat dampened which may slightly affect rankings in the search engines.
Also due to the standard behaviour of caches regarding https traffic there will be less caching of pages on intermediate proxies and on the computers of the visitors which will increase the number of requests to your server and increase the average page load time.