Hugenholtz-Pines theorem for multicomponent Bose-Einstein condensates

Shohei Watabe

doi:10.1103/PhysRevA.103.053307

Hugenholtz-Pines theorem for multicomponent Bose-Einstein condensates

Shohei Watabe

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The Hugenholtz-Pines (HP) theorem is derived for Bose-Einstein condensates (BECs) with internal degrees of freedom. The low-energy Ward-Takahashi identity is provided in the system with the linear and quadratic symmetry breaking terms. This identity serves to organize the HP theorem for multicomponent BECs, such as the binary BEC as well as the spin-f spinor BEC in the presence of a magnetic field with broken U(1)×SO(3) symmetry. The experimental method based on the Stern-Gerlach experiment is proposed for studying the Ward-Takahashi identity.

Original language	English
Article number	053307
Journal	Physical Review A
Volume	103
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.103.053307
Publication status	Published - 2021 May
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.103.053307

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title = "Hugenholtz-Pines theorem for multicomponent Bose-Einstein condensates",

abstract = "The Hugenholtz-Pines (HP) theorem is derived for Bose-Einstein condensates (BECs) with internal degrees of freedom. The low-energy Ward-Takahashi identity is provided in the system with the linear and quadratic symmetry breaking terms. This identity serves to organize the HP theorem for multicomponent BECs, such as the binary BEC as well as the spin-f spinor BEC in the presence of a magnetic field with broken U(1)×SO(3) symmetry. The experimental method based on the Stern-Gerlach experiment is proposed for studying the Ward-Takahashi identity.",

author = "Shohei Watabe",

note = "Funding Information: The author has been supported by JSPS KAKENHI Grants No. JP16K17774 and No. JP18K03499. Publisher Copyright: {\textcopyright} 2021 American Physical Society.",

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Hugenholtz-Pines theorem for multicomponent Bose-Einstein condensates

Abstract

ASJC Scopus subject areas

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