TY - GEN

T1 - Quantum fluctuations of zero-modes for trapped two-component Bose-Einstein condensates

AU - Takahashi, Junichi

AU - Hayaki, Yuto

AU - Yamanaka, Yoshiya

N1 - Funding Information:
This work was supported in part by Grants-in-Aid for Scientific Research through Grants No. 19K14619 provided by JSPS and by Waseda University Grant for Special Research Projects (Project Number:2019Q-021).
Publisher Copyright:
© 2021 Author(s).

PY - 2021/2/5

Y1 - 2021/2/5

N2 - Zero-mode operators associated with a spontaneous breakdown of internal symmetry are often suppressed and their quantum fluctuations are neglected owing to the absence of a definite criterion for determining the ground state and infrared divergences in physical quantities. Because the zero-mode fluctuations for systems with finite-size and spatially inhomogeneity cannot be neglected, we have proposed a novel treatment of the zero-mode for finite systems, which helps determine the unique ground state and evaluate the physical quantities without divergence. Following the proposed treatment, we consider trapped systems with two-component Bose-Einstein condensates. The results obtained demonstrate that the interaction strength between the two components considerably affect the dynamical properties, illustrating the importance of the zero-mode for finite systems.

AB - Zero-mode operators associated with a spontaneous breakdown of internal symmetry are often suppressed and their quantum fluctuations are neglected owing to the absence of a definite criterion for determining the ground state and infrared divergences in physical quantities. Because the zero-mode fluctuations for systems with finite-size and spatially inhomogeneity cannot be neglected, we have proposed a novel treatment of the zero-mode for finite systems, which helps determine the unique ground state and evaluate the physical quantities without divergence. Following the proposed treatment, we consider trapped systems with two-component Bose-Einstein condensates. The results obtained demonstrate that the interaction strength between the two components considerably affect the dynamical properties, illustrating the importance of the zero-mode for finite systems.

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U2 - 10.1063/5.0037070

DO - 10.1063/5.0037070

M3 - Conference contribution

AN - SCOPUS:85101034747

T3 - AIP Conference Proceedings

BT - Proceedings of the 14th Asia Pacific Physics Conference

A2 - Tou, Teck-Yong

A2 - Yokoyama, Jun'ichi

A2 - Shukor, Roslan Abdul

A2 - Tanaka, Kazuhiro

A2 - Choi, Hyoung Joon

A2 - Matsumoto, Ryoji

A2 - Chin, Oi-Hoong

A2 - Chin, Jia Hou

A2 - Ratnavelu, Kuru

PB - American Institute of Physics Inc.

T2 - 14th Asia Pacific Physics Conference, APPC 2019

Y2 - 17 November 2019 through 22 November 2019

ER -