Given Name - Includes Father Name in Old Passport

[chinmayh]

Hello Experts,

I have a Valid B1 Visa on my Old Passport, and I understand that I can carry both my old and new passport for travelling to USA.

In my old passport which is having the valid B1 Visa:
Given Name = FirstName MiddleName/Fathers Name

On my new passport
Given Name = FistName

Last Name remains the same in both the passports, the difference is my new passport has only my first name in given name.

In this case my name has legally not changed so I don't have any legal documents, please let me know if I can travel to USA.

Please let me know what documents need to be carried in this case.

Thanks a lot in advanced
Chinmay H.