Asset Details
Do you wish to reserve the book?
ANALYSIS AND COMPUTATION FOR GROUND STATE SOLUTIONS OF BOSE—FERMI MIXTURES AT ZERO TEMPERATURE
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
ANALYSIS AND COMPUTATION FOR GROUND STATE SOLUTIONS OF BOSE—FERMI MIXTURES AT ZERO TEMPERATURE
Do you wish to request the book?
ANALYSIS AND COMPUTATION FOR GROUND STATE SOLUTIONS OF BOSE—FERMI MIXTURES AT ZERO TEMPERATURE
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
ANALYSIS AND COMPUTATION FOR GROUND STATE SOLUTIONS OF BOSE—FERMI MIXTURES AT ZERO TEMPERATURE
2013
Overview
Previous numerical studies on the ground state structure of Bose—Fermi mixtures mostly relied on Thomas—Fermi (TF) approximation for the Fermi gas. In this paper, we establish the existence and uniqueness of ground state solutions of Bose—Fermi mixtures at zero temperature for both a coupled Gross—Pitaevskii (GP) equations model and a model with TF approximation for fermions. To prove the uniqueness, the key is to estimate the L ∞ bounds of the ground state solution. By implementing an efficient method—gradient flow with discrete normalization with backward Euler finite difference discretization—to compute the coupled GP equations, we report extensive numerical results in one and two dimensions. The numerical experiments show that we can also extract many interesting phenomena without reference to TF approximation for the fermions. Finally, we numerically compare the ground state solutions for the coupled GP equations model and the model with TF approximation for fermions as well as for the model with TF approximations for both bosons and fermions.
Publisher
Society for Industrial and Applied Mathematics
Subject
