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Second-order phase transitions are governed by spontaneous symmetry breaking, which yield collective excitations with a gapless spectrum called Nambu-Goldstone (NG) modes. While NG modes in conservative systems are propagating excitations,…

The collective elementary excitations of two dimensional magnetoexcitons in a Bose Einstein condensate with zero wavevector are investigated in the framework of the Bogoliubov theory of quasi averages. The Hamiltonian of the electrons and…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 S. A. Moskalenko , M. A. Liberman , D. W. Snoke , E. V. Dumanov , S. S. Rusu , F. Cerbu

The Nambu-Goldstone mode, associated with vortex nucleation in a harmonically confined, two-dimensional dilute Bose-Einstein condensate, is identified with the lowest-lying envelope of octupole-mode branches, which are separated from each…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Masahito Ueda , Tatsuya Nakajima

The Nambu-Goldstone (NG) modes in a nonrelativistic system can be classified into two types from their characteristic features: being of either an odd (type I) or an even (type II) power energy-momentum dispersion. Conventionally, the…

Quantum Gases · Physics 2020-12-24 Jian-Song Pan , W. Vincent Liu , Xiong-Jun Liu

In fermionic superfluids that are charge neutral, Nambu-Goldstone (NG) modes also known as Anderson-Bogoliubov modes emerge as a result of spontaneous symmetry breaking. Here, we discuss DC transport properties of such NG modes through a…

Quantum Gases · Physics 2020-06-17 Shun Uchino

Massive Nambu-Goldstone (mNG) bosons are quasiparticles whose gap is determined exactly by symmetry. They appear whenever a symmetry is broken spontaneously in the ground state of a quantum many-body system, and at the same time explicitly…

High Energy Physics - Theory · Physics 2019-08-05 Tomas Brauner , Martin F. Jakobsen

When a continuous symmetry is spontaneously broken in nonrelativistic systems, there appear either type-I or type-II Nambu-Goldstone modes (NGMs) with linear or quadratic dispersion relation, respectively. When equation of motion or the…

High Energy Physics - Theory · Physics 2015-01-22 Muneto Nitta , Daisuke A. Takahashi

We discuss the counting of Nambu-Goldstone (NG) modes associated with the spontaneous breaking of higher-form global symmetries. Effective field theories of NG modes are developed based on symmetry breaking patterns, using a generalized…

High Energy Physics - Theory · Physics 2021-02-24 Yoshimasa Hidaka , Yuji Hirono , Ryo Yokokura

In N=1 supersymmetric theories, quasi Nambu-Goldstone (QNG) bosons appear in addition to ordinary Nambu-Goldstone (NG) bosons when the global symmetry G breaks down spontaneously. We investigate two-body scattering amplitudes of these…

High Energy Physics - Theory · Physics 2009-10-30 Kiyoshi Higashijima , Muneto Nitta , Kazutoshi Ohta , Nobuyoshi Ohta

Nambu-Goldstone modes in immiscible two-component Bose-Einstein condensates are studied theoretically. In a uniform system, a flat domain wall is stabilized and then the translational invariance normal to the wall is spontaneously broken in…

Quantum Gases · Physics 2013-12-16 Hiromitsu Takeuchi , Kenichi Kasamatsu

We study the vacuum dynamics of pseudo-Nambu-Goldstone bosons (pNGBs) for $SO(N+1) \rightarrow SO(N)$ spontaneous and explicit symmetry breaking. We determine the magnitude of explicit symmetry breaking consistent with an EFT description of…

High Energy Physics - Phenomenology · Physics 2023-09-28 Fotis Koutroulis , Matthew McCullough , Marco Merchand , Stefan Pokorski , Kazuki Sakurai

The anomalous Nambu-Goldstone (NG) theorem which is found as a violation of counting law of the number of NG bosons of the normal NG theorem in nonrelativistic and Lorentz-symmetry-violated relativistic theories is studied in detail, with…

General Physics · Physics 2013-12-04 Tadafumi Ohsaku

It is suggested that direct evidence of Bose-Einstein condensation of alpha particles is obtained by observing a phase mode (Nambu-Goldstone boson) with long wavelength even when characteristic features such as superfluidity is diffucult to…

Nuclear Theory · Physics 2013-02-01 S. Ohkubo

We develop the effective field theory of diffusive Nambu-Goldstone (NG) modes associated with spontaneous internal symmetry breaking taking place in nonequilibrium open systems. The effective Lagrangian describing semi-classical dynamics of…

High Energy Physics - Theory · Physics 2021-03-31 Masaru Hongo , Suro Kim , Toshifumi Noumi , Atsuhisa Ota

We present a general framework to implement massive Nambu-Goldstone quasi-particles in driven many-body systems. The underlying mechanism leverages an explicit Lie group structure imprinted into an effective Hamiltonian that governs the…

Quantum Physics · Physics 2025-07-29 Yang Hou , Zhanpeng Fu , Roderich Moessner , Marin Bukov , Hongzheng Zhao

Dilute Bose gases, cooled down to low temperatures below the Bose-Einstein condensation temperature, form coherent ensembles described by the Gross-Pitaevskii equation. Stationary solutions to the latter are topological coherent modes. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. I. Yukalov , E. P. Yukalova

We study collective modes of superfluid Bose gases in optical lattices combined with potential barriers. We assume that the system is in the vicinity of the quantum phase transition to a Mott insulator at a commensurate filling, where…

Quantum Gases · Physics 2015-10-20 Takeru Nakayama , Ippei Danshita , Tetsuro Nikuni , Shunji Tsuchiya

A pseudo-Nambu Goldstone Boson (pNGB) arising from the breaking of a global symmetry ($G\rightarrow H$) can be one of the most promising candidates for the quintessence model, to explain the late-time acceleration of our universe. Motivated…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-24 Mayukh R. Gangopadhyay , Nilanjana Kumar , Ankan Mukherjee , Mohit K. Sharma

Multi-gap superconductors exhibit interesting properties. In an $N$-gap superconductor, we have in general $U(1)^N$ phase invariance. This multiple-phase invariance is partially or totally spontaneously broken in a superconductor. The…

Superconductivity · Physics 2016-08-16 Takashi Yanagisawa

We discuss spontaneous breaking of internal symmetry and its Nambu-Goldstone (NG) modes in dissipative systems. We find that there exist two types of NG modes in dissipative systems corresponding to type-A and type-B NG modes in Hamiltonian…

Statistical Mechanics · Physics 2018-03-20 Yuki Minami , Yoshimasa Hidaka
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