I'm sure you'll get many replies, but I'll wade in and start it off.
AFAIK, you cannot do this in quite the way you would with the dedicated data modelling tools. However you may find the EA facilities more palatable depending on how you use modelling tools in your development environment.
What you can do is model the logical relationships as a class diagram. You can specify features (i.e. attributes, in the logical model) to the extent, and level of detail, required for your purposes. This might be at a very high level if you use the logical model primarily as an overview. It could be quite detailed, giving types etc. (either platform specific or independent) if you intend to directly evolve the logical model into the physical.
[You may find that chaning the connector end notation for the logical model diagrams will help you here. As of build 788 the non-UML notations appear to be working correctly.]
You can then create the physical model using the data modelling profile built into EA, or one of your own. Several of this forum's members have worked on EA transformation scripts to automate this process. You might want to search the forum for some helpful hints.
I've had some success using generic models at both levels. I have also created a CWM implementation using generic data types, which has been useful for building high-level data models at the conceptual and logical levels, before even deciding on the implementation platform(s).
A suggestion: you should pay very close attention to the language setting for each item in the logical model. If necessary create a generic language, either patterned after data types (generic or your chosen platform, as appropriate). Make sure the data types available (or that you use) are simple to understand, and can be mapped without distortion to your physical model.
[NB: If you are interested in using CWM, as of EA 6.1 you can load the OMG implementation directly from their XMI file. You will find it here:
http://www.omg.org/docs/ad/01-02-03.txt.
Hope this gives you a starting place,
David