NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2015, 6 (2), P. 213–215
Perturbative hydrodynamic Gross–Pitaevskii treatment for Bose–Einstein condensate in infinite length ring with disorder
D. B. Abdullaev – Institute of Applied Physics, National University of Uzbekistan, Tashkent, Uzbekistan; abdullaev_davron@mail.ru
B. Abdullaev – Institute of Applied Physics, National University of Uzbekistan, Tashkent, Uzbekistan; bakhodir_abdullaev@yahoo.com
M. M. Musakhanov – National University of Uzbekistan, Tashkent, Uzbekistan; yousufmm@list.ru
For the derivation of the dilute Bose–Einstein condensate density and its phase, we have developed the perturbative approach for the solution of the stationary state couple Gross–Pitaevskii hydrodynamic equations. The external disorder potential is considered as a small parameter in this approach. We have derived expressions for the total density, condensate density, condensate density depletion and superfluid velocity of the Bose–Einstein condensate in an infinite length ring with disorder potential having a general form. For the delta correlated disorder, the explicit analytical forms of these quantities (except the superfluid velocity) have been obtained.
Keywords: Bose–Einstein condensate in ring, Gross–Pitaevskii hydrodynamic equations, disorder potential, condensate density, condensate density depletion, delta correlated disorder.
PACS 47.37.+q, 67.10.Jn, 67.85.Jk
DOI 10.17586/2220-8054-2015-6-2-213-215
Hey very cool web site!! Man .. Excellent .. Amazing .. I’ll bookmark your web site and take the feeds also…I am happy to find a lot of useful information here in the post, we need develop more techniques in this regard, thanks for sharing. . . . . .
Useful info. Lucky me I discovered your site by chance, and I’m stunned why this accident did not came about earlier! I bookmarked it.
I couldn’t resist commenting
I always was concerned in this topic and stock still am, thanks for putting up.
Wohh precisely what I was searching for, thankyou for putting up.
Have you ever considered about including a little bit more than just your articles? I mean, what you say is fundamental and all. But imagine if you added some great photos or video clips to give your posts more, “pop”! Your content is excellent but with images and videos, this blog could certainly be one of the best in its niche. Terrific blog!
Great line up. We will be linking to this great article on our site. Keep up the good writing.
I like what you guys are up also. Such smart work and reporting! Keep up the excellent works guys I have incorporated you guys to my blogroll. I think it’ll improve the value of my web site
Some really interesting info , well written and loosely user friendly.
Hey there! I know this is kinda off topic but I was wondering if you knew where I could get a captcha plugin for my comment form? I’m using the same blog platform as yours and I’m having difficulty finding one? Thanks a lot!
Hi! I just wanted to ask if you ever have any issues with hackers? My last blog (wordpress) was hacked and I ended up losing months of hard work due to no back up. Do you have any solutions to stop hackers?
I went over this website and I conceive you have a lot of great info, saved to fav (:.
Some truly nice and utilitarian information on this website , besides I conceive the layout has got superb features.
AlphaBites Male is a dietary supplement designed to support men’s health, especially in areas related to energy, stamina, libido, and overall vitality.
very good submit, i definitely love this web site, keep on it
of course like your web site but you need to check the spelling on several of your posts. A number of them are rife with spelling problems and I find it very troublesome to tell the truth nevertheless I will surely come back again.
Lipozem is a weight loss supplement marketed for its potential to support fat burning, appetite control, and energy levels.
I gotta bookmark this site it seems very beneficial extremely helpful
Hello, Neat post. There’s an issue together with your web site in web explorer, may test thisK IE still is the marketplace chief and a big element of other people will leave out your excellent writing due to this problem.
I’ve recently started a web site, the info you provide on this web site has helped me greatly. Thank you for all of your time & work.
I think other web site proprietors should take this website as an model, very clean and fantastic user friendly style and design, let alone the content. You’re an expert in this topic!