So this seems to be how this works in Windows:
- Creation time: if the target file already exists, its' creation time is preserved, otherwise it is set to the current system time.
- Last Modification time: always copied from modification time of the source file.
- Last Access time: always set to the current system time.
RoboCopy and RichCopy are couple of command-line tools that can preserve the mtime for directories with the /DCOPY:T switch, but this only works in Vista and newer. Another copy utility which can preserve timestamps is XXCOPY
You can find some example for RoboCopy at the end of this page: http://www.computerhope.com/robocopy.htm