Panasonic GH4 has a
16.0MP Four Thirds (17.3 x 13 mm ) sized CMOS sensor and features Venus Engine IX processor. On the other hand, OM System OM-5 II has a
20.0MP Four Thirds (17.4 x 13 mm ) sized CMOS sensor and features TruePic IX processor.
Below you can see the GH4 and OM-5 Mark II sensor size comparison.
Sensor Size and Resolution Comparison image of Panasonic GH4 and OM System OM-5 II Cameras
Panasonic GH4 and OM System OM-5 II have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Panasonic GH4
or the
OM System OM-5 II ,
including hyperfocal distance.