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Does this happen if you move the phone closer to the speaker? Bluetooth audio streaming (A2DP) doesn't support any buffer so if you get a packet loss you will get an audio drop.
If moving closer doesn't help, what happens if you turn off WiFi?
When using A2DP you will also get notifications over bluetooth.
Have you tried updating the speaker? It looks like there are software updates for it: https://jawbone.com/support/jambox
Before contacting your dealer or local support for assistance with the phone, try making a repair of the phones software just to make sure it's not a software problem. You can do that using PC Companion: http://www.sonymobile.com/global-en/tools/pc-companion/
If a repair in PC Companion doesn't help your phone needs to be repaired or replaced.
I have the same issue, but eventually this happens because of messages received by Whatsapp app. I am using BT audio in my car, hear properly almost all notification that are set on. Before i was using SE Arc, and sound from whatsapp was comming like it should, in Z1 i have this little pop sounds and the it continues to playback. Other apps like viber, sms, gmail are giving proper understandable sound (related to each app).
BTW while received updates and notifications on facebook i receive vibration instead of sound, is it possible to walk around this problem.
I'm not sure but from what i've heard notifications from Whatsapp are not played as notifications but instead media audio which causes this.
For Facebook you have a setting for that in the app. Open Facebook, tap menu at top left and select "App settings".