As the other answerer said, it is difficult to stop low-frequency waves (eg, bass). I am in the middle of a major soundproofing project in my upstairs condo bedroom right now (it's a two-story unit sandwiched between two other units). My research over the past several months has introduced me to a number of products, only a few of which boast high performance when it comes to lower frequencies. These are:
- Green Glue
- QuietRock 525/545
- Genie Clip/hat channel assembly
Other soundproofing solutions that may not be ideal for blocking low frequencies are:
- Mass-loaded vinyl (MLV)
As the other answerer also said, soundproofing is most effective when implemented in the source room. Since this is most likely not an option, your ceiling should be the target structure here. If you are able and willing to make more structural changes to your unit, you might consider applying another layer of drywall to the ceiling, using Green Glue in between the new and existing layer. You can use up to three tubes of Green Glue per 4x8 sheet. If your budget is more open, you may consider using QuietRock 525 with Green Glue instead of regular drywall. If you're up for a really fun DIY project, you can do to your ceiling what I recently did with my bedroom wall: Tear down the drywall and install a new layer over a Genie Clip/furring channel assembly.
If you do decide to go with any of these measures and you also have ceiling fixtures like lights or a ceiling fan, you may also want to look into QuietPutty to apply to the backside of all fixtures to keep noise from sneaking through the openings in your drywall. Also look into acoustical sealent. I used QuietSeal PRO for my wall, but there are a number of sealants out there.
One more thing to bring up is that, since you're not soundproofing the source room above you, you may have the issue of flanking. Flanking is when sound waves basically sneak around your soundproofing barriers by sending vibrations along other paths. For example, you can soundproof your ceiling, but their bass can still go though their floor, along the joists above your ceiling, down your wall's frame, and out through your drywall. I have never directly experienced flanking of that magnitude, though, so I can't say whether or not it would be an issue.
Don't just take my word on all this, though. Research all of the products I talked about if you so decide to take such measures. Whatever you do, don't expect a simple solution.