Can Sun JDK generate core/heap dump files when JVM crashes?

With the following JVM options:

-XX:+HeapDumpOnOutOfMemoryError 
-XX:HeapDumpPath="/tmp"

JVM will dump the content of heap to a file in specified directory. Note that this only happens when OutOfMemoryError is thrown since dump isn't really needed if JVM crashed due to a different reason.

Edit: "Boolean options are turned on with -XX:+ and turned off with -XX:-." docs

You can use -XX:HeapDump JVM options.