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Higgs and Goldstone modes are possible collective modes of an order parameter upon spontaneously breaking a continuous symmetry. Whereas the low-energy Goldstone (phase) mode is always stable, additional symmetries are required to prevent…

Quantum Gases · Physics 2019-12-05 A. Behrle , T. Harrison , J. Kombe , K. Gao , M. Link , J. -S. Bernier , C. Kollath , M. Köhl

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

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

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

We demonstrate that an undamped few-body precursor of the Higgs mode can be investigated in a harmonically trapped Fermi gas. Using exact diagonalisation, the lowest monopole mode frequency is shown to depend non-monotonically on the…

Quantum Gases · Physics 2016-04-15 J. Bjerlin , S. M. Reimann , G. M. Bruun

The Higgs boson in fermionic condensates with the BCS pairing interaction describes the dynamics of the pairing amplitude. I show that the existence and properties of this mode are sensitive to the energy dispersion of the interaction.…

Superconductivity · Physics 2008-12-31 Roman Barankov

We leverage random phase approximation and unbiased auxiliary-field quantum Monte Carlo methods to compute dynamical correlations for a dilute homogeneous two-dimensional attractive Fermi gas. Our main purpose is to quantitatively study the…

Condensed-matter analogs of the Higgs boson in particle physics allow insights into its behavior in different symmetries and dimensionalities. Evidence for the Higgs mode has been reported in a number of different settings, including…

Strongly Correlated Electrons · Physics 2017-08-02 A. Jain , M. Krautloher , J. Porras , G. H. Ryu , D. P. Chen , D. L. Abernathy , J. T. Park , A. Ivanov , J. Chaloupka , G. Khaliullin , B. Keimer , B. J. Kim

We study the Higgs amplitude mode in the s-wave superfluid state on the honeycomb lattice inspired by recent cold atom experiments. We consider the attractive Hubbard model and focus on the vicinity of a quantum phase transition between…

Quantum Gases · Physics 2013-08-09 Shunji Tsuchiya , R. Ganesh , Tetsuro Nikuni

The Higgs amplitude mode of the order parameter of an ultracold confined Fermi gas in the BCS regime after a quench of the coupling constant is analyzed theoretically. Characteristic features are a damped oscillation which at a certain…

Quantum Gases · Physics 2014-12-09 S. Hannibal , P. Kettmann , M. D. Croitoru , A. V. Vagov , V. M. Axt , T. Kuhn

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

Two-dimensional coherent spectroscopy (2DCS) provides insights into the nonlinear response of correlated lattice systems. We simulate multipulse excitations in the Hubbard model using nonequilibrium dynamical mean-field theory to extract…

Strongly Correlated Electrons · Physics 2025-05-01 Jiyu Chen , Naoto Tsuji , Philipp Werner

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

We derive the low energy effective action for the collective modes in systems of fermions interacting via a short-range s-wave attraction, featuring unequal chemical potentials for the two fermionic species (asymmetric systems). As a…

Superconductivity · Physics 2014-11-18 Elena Gubankova , Massimo Mannarelli , Rishi Sharma

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

By applying a microscopic gauge-invariant kinetic theory in $d$-wave superconductors, we analytically derive the energy spectra of the breathing Higgs mode and, in particular, rotating Higgs mode that is unique for the $d$-wave order…

Superconductivity · Physics 2020-07-27 F. Yang , M. W. Wu

We study theoretically the collective mode spectrum of a strongly imbalanced two-component unitary Fermi gas in a cigar-shaped trap, where the minority species forms a gas of polarons. We describe the collective breathing mode of the gas in…

Quantum Gases · Physics 2018-03-28 Johannes Hofmann , Frédéric Chevy , Olga Goulko , Carlos Lobo

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

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…

In condensed matter Physics, massive longitudinal Higgs modes emerge from fluctuations of the order parameter. A few years ago, the Higgs mode was \emph{caught} experimentally in the vicinity of an insulator-to-superconductor quantum phase…

Strongly Correlated Electrons · Physics 2024-10-01 Lucas Squillante , Antonio C. Seridonio , Roberto E. Lagos-Monaco , Mariano de Souza
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