TY - JOUR
T1 - Identities and many-body approaches in Bose-Einstein condensates
AU - Watabe, S.
N1 - Funding Information:
The author thanks Y. Kato, Y. Ohashi, M. Ueda, and T. Nikuni for valuable discussions and comments on BEC and superfluidity. A series of the author's study on BECs are supported by JSPS KAKENHI Grant No. (249416, JP16K17774, JP18K03499). He also gratefully acknowledges the support by Nanotech Career-up Alliance (Nanotech CUPAL), Japan Science and Technology Agency (JST).
Funding Information:
The author thanks Y. Kato, Y. Ohashi, M. Ueda, and T. Nikuni for valuable discussions and comments on BEC and superfluidity. A series of the author’s study on BECs are supported by JSPS KAKENHI Grant No. (249416, JP16K17774, JP18K03499). He also gratefully acknowledges the support by Nanotech Career-up Alliance (Nan-otech CUPAL), Japan Science and Technology Agency (JST).
Publisher Copyright:
© 2019 Polish Academy of Sciences. All rights reserved.
PY - 2019
Y1 - 2019
N2 - This paper discusses exact relations in the Bose-Einstein condensates, starting from basic properties of an ideal Bose gas. In particular, focused on are the Hugenholtz-Pines relation, Nepomnyashchii-Nepomnyashchii identity, and identities for the density response function. After introducing these exact relations, a few approaches of many-body approximations are discussed, which satisfy the exact relations in the Bose-Einstein condensates. This paper will serve as a bridge between theories on exact relations and those on approximations in the Bose-Einstein condensates.
AB - This paper discusses exact relations in the Bose-Einstein condensates, starting from basic properties of an ideal Bose gas. In particular, focused on are the Hugenholtz-Pines relation, Nepomnyashchii-Nepomnyashchii identity, and identities for the density response function. After introducing these exact relations, a few approaches of many-body approximations are discussed, which satisfy the exact relations in the Bose-Einstein condensates. This paper will serve as a bridge between theories on exact relations and those on approximations in the Bose-Einstein condensates.
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U2 - 10.12693/APhysPolA.135.1222
DO - 10.12693/APhysPolA.135.1222
M3 - Article
AN - SCOPUS:85074509585
VL - 135
SP - 1222
EP - 1230
JO - Acta Physica Polonica A
JF - Acta Physica Polonica A
SN - 0587-4246
IS - 6
ER -