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When a continuous symmetry of a physical system is spontaneously broken, two types of collective modes typically emerge: the amplitude and phase modes of the order-parameter fluctuation. For superconductors, the amplitude mode is recently…

Superconductivity · Physics 2020-03-19 Ryo Shimano , Naoto Tsuji

By studying the 2-dimensional Su-Schrieffer-Heeger-Bose-Hubbard model, we show the existence of topological Higgs amplitude modes in the strongly interacting superfluid phase. Using the slave boson approach, we find that, in the large…

Quantum Gases · Physics 2021-11-01 Junsen Wang , Youjin Deng , Wei Zheng

The Higgs mode is a key component in the spontaneous breaking of a continuous symmetry along with the Nambu-Goldstone mode, and has been studied extensively for homogeneous systems. We consider it for inhomogeneous systems, using the…

Quantum Gases · Physics 2025-08-11 Kensuke Kakimoto , Junichi Takahashi , Yoshiya Yamanaka

Low-energy excitations associated with the amplitude fluctuation of an order parameter in condensed matter systems can mimic the Higgs boson, an elementary particle in the standard model, and are dubbed as Higgs modes. Identifying the…

Strongly Correlated Electrons · Physics 2020-10-09 Ying Su , A. Masaki-Kato , Wei Zhu , Jian-Xin Zhu , Yoshitomo Kamiya , Shi-Zeng Lin

In quantum many-body systems with spontaneous breaking of continuous symmetries, Higgs modes emerge as collective amplitude oscillations of order parameters. Recently, Higgs mode has been observed in the ultracold Fermi gas. In the present…

Quantum Gases · Physics 2019-01-30 Jun Tokimoto , Shunji Tsuchiya , Tetsuro Nikuni

Collective dynamics of many particle systems is tightly linked to their underlying symmetry and phase transitions. Higgs and Nambu-Goldstone modes are, respectively, collective amplitude and phase modes of the order parameter that are…

Superconductivity · Physics 2023-10-27 Naoto Tsuji , Ippei Danshita , Shunji Tsuchiya

In this letter we present a coherent picture for the evolution of Higgs mode in both neutral and charged $s$-wave fermion superfluids, as the strength of attractive interaction between fermions increases from the BCS to the BEC regime. In…

Quantum Gases · Physics 2016-03-30 Boyang Liu , Hui Zhai , Shizhong Zhang

The proximity effect in hybrid superconducting - normal metal structures is shown to affect strongly the coherent oscillations of the superconducting order parameter $\Delta$ known as the Higgs modes. The standard Higgs mode at the…

Superconductivity · Physics 2019-09-18 V. L. Vadimov , I. M. Khaymovich , A. S. Mel'nikov

Experimental evidence of the Higgs mode in strongly interacting superfluid Fermi gases had not been observed until recently [Behrle et al., Nat. Phys. 14, 781 (2018)]. Due to the coupling with other collective modes and quasiparticle…

Quantum Gases · Physics 2023-03-02 Guitao Lyu , Kui-Tian Xi , Sukjin Yoon , Qijin Chen , Gentaro Watanabe

The order parameter and its variations in space and time in many different states in condensed matter physics at low temperatures are described by the complex function $\Psi({\bf r}, t)$. These states include superfluids, superconductors,…

Superconductivity · Physics 2015-02-10 David Pekker , C. M. Varma

The Higgs mode corresponds to the collective motion of particles due to the vibrations of an invisible field. It plays a fundamental role for our understanding of both low and high energy physics, giving elementary particles their mass and…

Quantum Gases · Physics 2014-09-03 Georg M. Bruun

Below a continuous symmetry breaking phase transition, the relevant collective excitations are due to longitudinal and transverse fluctuations of the order parameter, which are referred to as Higgs and Goldstone modes, respectively. In…

Strongly Correlated Electrons · Physics 2025-04-29 Bryan T. Fichera , Ajesh Kumar , Baiqing Lv , Zongqi Shen , Karna Morey , Qian Song , Batyr Ilyas , Tianchuang Luo , Riccardo Comin , T. Senthil , Nuh Gedik

We present solid evidence for the existence of a well-defined Higgs amplitude mode in two-dimensional relativistic field theories based on analytically continued results from quantum Monte Carlo simulations of the Bose-Hubbard model in the…

Quantum Gases · Physics 2012-08-10 L. Pollet , N. V. Prokof'ev

Superfluid helium, describable by a two-component order parameter, exhibits only the Bogolubov mode with energy $\to 0$ at long wavelengths, while a Lorentz-invariant theory with a two-component order parameter exhibits a finite energy mode…

Statistical Mechanics · Physics 2007-05-23 C. M. Varma

In supersymmetric theories of nature the Higgsino fermionic superpartner of the Higgs boson can arise as the lightest standard model superpartner depending on the couplings between the Higgs and supersymmetry breaking sectors. In this…

High Energy Physics - Phenomenology · Physics 2009-10-09 Konstantin T. Matchev , Scott Thomas

Spontaneous symmetry breaking plays a key role in our understanding of nature. In a relativistic field theory, a broken continuous symmetry leads to the emergence of two types of fundamental excitations: massless Nambu-Goldstone modes and a…

As pointed out by Nambu&Goldstone, continuous symmetry breaking gives rise to gapless bosonic excitation. In superconductors, continuous local U(1) gauge symmetry is broken. The gapless excitation thus created is the collective phase mode…

Superconductivity · Physics 2025-12-12 Hao Chu , Haotian Zhang , Zhili Zhang

Higgs bosons - the amplitude modes - have been experimentally investigated in condensed matter for many years. An example is superfluid $^3$He-B, where the broken symmetry leads to 4 Goldstone modes and at least 14 Higgs modes, which are…

High Energy Physics - Phenomenology · Physics 2014-03-05 G. E. Volovik , M. A. Zubkov

We investigate the life cycle of the large amplitude Higgs mode in strongly interacting superfluid Fermi gas. Through numerical simulations with time-dependent density-functional theory and the technique of the interaction quench, we verify…

Quantum Gases · Physics 2023-07-17 Andrea Barresi , Antoine Boulet , Gabriel Wlazłowski , Piotr Magierski

We study the low-energy excitations of the Bose-Hubbard model in the strongly-interacting superfluid phase using a Gutzwiller approach and extract the single-particle and single-hole excitation amplitudes for each mode. We report emergent…

Quantum Gases · Physics 2018-02-21 M. Di Liberto , A. Recati , N. Trivedi , I. Carusotto , C. Menotti
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