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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

We show that quasi-Nambu-Goldstone (NG) modes, which play prominent roles in high energy physics but have been elusive experimentally, can be realized with atomic Bose-Einstein condensates. The quasi-NG modes emerge when the symmetry of a…

Quantum Gases · Physics 2010-12-08 Shun Uchino , Michikazu Kobayashi , Muneto Nitta , Masahito Ueda

Spontaneous breaking of Lorentz symmetry has been suggested as a possible mechanism that might occur in the context of a fundamental Planck-scale theory, such as string theory or a quantum theory of gravity. However, if Lorentz symmetry is…

High Energy Physics - Theory · Physics 2008-11-26 R. Bluhm

A self-contained method of obtaining effective theories resulting from the spontaneous breakdown of conformal invariance is developed. It allows to demonstrate that the Nambu-Goldstone fields for special conformal transformations always…

High Energy Physics - Theory · Physics 2019-04-23 I. Kharuk

We study the properties of Nambu monopoles and Z-vortices in the 3D lattice SU(2) Higgs theory which represents the Standard Model at high temperature. We show that the densities of the Nambu monopoles and the Z-vortices are O(1) in the…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , F. V. Gubarev , E. -M. Ilgenfritz , A. Schiller

We propose a simple criterion to identify when Nambu-Goldstone bosons (NGBs) for different symmetries are redundant. It solves an old mystery why crystals have phonons for spontaneously broken translations but no gapless excitations for…

Other Condensed Matter · Physics 2014-08-12 Haruki Watanabe , Hitoshi Murayama

We investigate the superfluidity and the associated Nambu-Goldstone modes in a three-flavor atomic Fermi gas with SU(3) global symmetry. The s-wave pairing occurs in flavor anti-triplet channel due to the Pauli principle, and the superfluid…

Other Condensed Matter · Physics 2009-09-09 Lianyi He , Meng Jin , Pengfei Zhuang

Realizing Majorana modes in topological superconductors, i.e., the condensed-matter counterpart of Majorana fermions in particle physics, may lead to a major advance in the field of topologically-protected quantum computation. Here, we…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Pasquale Marra , Daisuke Inotani , Muneto Nitta

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

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

Recently, a three-component Ginzburg-Landau (GL) model compatible with the 3Q pair-density-wave state has been proposed to explain the fractional quantum magnetic resistance oscillations of period $\phi_0/3 = hc/6e$ observed in…

Superconductivity · Physics 2026-05-28 Shen-Yi Peng , Ling-Feng Zhang , Xiao Hu

We discuss the possibility that in finite density QCD an anisotropic phase is realized. This case might arise for quarks with different chemical potential and/or different masses. In this phase crystalline structures may be formed. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Casalbuoni

Conventional superconductors have vortices carrying integer multiples of magnetic flux quantum while unconventional ones, with p- or d-wave order parameter, allow half-integer fluxes. Here we show that mesoscopic size effects stabilize…

Superconductivity · Physics 2011-07-18 L. F. Chibotaru , V. H. Dao

In mesoscopic two-gap superconductors with sizes of the order of the coherence length noncomposite vortices are found to be thermodynamically stable in a large domain of the $T - H$ phase diagram. In these phases the vortex cores of one…

Superconductivity · Physics 2009-11-13 L. F. Chibotaru , V. H. Dao , A. Ceulemans

We study an $O(N)$ scalar model under shear flow and its Nambu-Goldstone modes associated with spontaneous symmetry breaking $O(N) \to O(N-1)$. We find that the Nambu-Goldstone mode splits into an infinite number of gapless modes, which we…

Statistical Mechanics · Physics 2021-04-14 Yuki Minami , Hiroyoshi Nakano , Yoshimasa Hidaka

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,…

Vortices carrying fractions of a flux quantum are predicted to exist in multiband superconductors, where vortex core can split between multiple band-specific components of the superconducting condensate. Using the two-component…

Superconductivity · Physics 2015-07-22 R. M. da Silva , M. V. Milošević , D. Domínguez , F. M. Peeters , J. Albino Aguiar

A detailed analysis of collective modes that couple to either vector or axial color currents in color-flavor locked phase of color superconducting dense quark matter at finite temperature is presented. Among the realm of collective modes,…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. P. Gusynin , I. A. Shovkovy

Spontaneous symmetry-breaking quantum phase transitions play an essential role in condensed matter physics. The collective excitations in the broken-symmetry phase near the quantum critical point can be characterized by fluctuations of…

We study Kelvin modes and translational zero modes excited along a quantized vortex and relativistic global string in superfluids and a relativistic field theory, respectively, by constructing the low-energy effective theory of these modes.…

High Energy Physics - Theory · Physics 2014-02-20 Michikazu Kobayashi , Muneto Nitta