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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

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

We numerically study the collective excitations present in isotropic superconductors including a screened Coulomb interaction. By varying the screening strength, we analyze its impact on the system. We use a formulation of the effective…

Superconductivity · Physics 2025-09-10 Joshua Althüser , Götz S. Uhrig

Collective, low-energy excitations in quasi-two-dimensional d-wave superconductors are analyzed. While the long-range Coulomb interaction shifts the charge-density-wave and phase modes up to the plasma energy, the spin-density-wave…

Superconductivity · Physics 2009-10-30 M. I. Salkola , J. R. Schrieffer

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

We investigate order parameter fluctuations in the Hubbard model within a time-dependent Gutzwiller approach. While in the weak coupling limit we find that the amplitude fluctuations are short-lived due to a degeneracy with the energy of…

Strongly Correlated Electrons · Physics 2025-03-14 J. Lorenzana , G. Seibold

We put forth a mechanism for enhancing the interlayer transport in cuprate superconductors, by optically driving plasmonic excitations along the $c$ axis with a frequency that is blue-detuned from the Higgs frequency. The plasmonic…

Superconductivity · Physics 2021-06-07 Guido Homann , Jayson G. Cosme , Junichi Okamoto , Ludwig Mathey

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

Long distance (1.4 micron) interaction of two different InAs/GaAs quantum dots in a photonic crystal microcavity is observed. Resonant optical excitation in the p-state of any of the quantum dots, results in an increase of the s-state…

We theoretically investigate the spectrum of elementary excitations of a trapped dipolar quantum gas across the BEC-supersolid phase transition. Our calculations reveal the existence of distinct Higgs and Nambu-Goldstone modes that emerge…

We study the low-energy excitations of a bosonic lattice gas with cavity-mediated interactions. By performing two successive Hubbard-Stratonovich transformations, we derive an effective field theory to study the strongly-coupling regime.…

Quantum Gases · Physics 2022-06-15 Huan Wang , Shuai Li , Maksims Arzamasovs , W. Vincent Liu , Bo Liu

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

In this report, we describe the proximity effect which arises when a quasicrystal is placed in contact with a superconductor. We consider the simplest known model of a quasicrystal, the 1D Fibonacci chain, for which all states are known to…

Superconductivity · Physics 2020-05-20 Gautam Rai , Stephan Haas , Anuradha Jagannathan

Using a state-of-the-art numerical scheme, we show that the Higgs mode under excitation exhibits chirped oscillations and exponential decay when fluctuations are included. This is in stark contrast to conventional BCS collisionless dynamics…

Superconductivity · Physics 2025-06-23 Thomas Blommel , Jason Kaye , Yuta Murakami , Emanuel Gull , Denis Golež

Inhomogeneous s-wave superconductivity is studied in the two-dimensional, square lattice attractive Hubbard Hamiltonian using the Bogoliubov-de Gennes (BdG) mean field approximation. We find that at weak coupling, and for densities mainly…

Superconductivity · Physics 2009-11-11 K. Aryanpour , E. R. Dagotto , M. Mayr , T. Paiva , W. E. Pickett , R. T. Scalettar

We investigate equilibrium states, magnetic response and the normal oscillations of internal degrees of freedom (Higgs modes and Goldstone modes) of three-band superconductors accounting the terms of both internal proximity effect and the…

Superconductivity · Physics 2023-05-29 K. V. Grigorishin

The BCS-BEC crossover within the two-dimensional attractive Hubbard model is studied by using the Cellular Dynamical Mean-Field Theory both in the normal and superconducting ground states. Short-range spatial correlations incorporated in…

Strongly Correlated Electrons · Physics 2009-11-11 B. Kyung , A. Georges , A. -M. S. Tremblay

The pair-fluctuation contribution reduces the electrostatic screening length in superconductivity as compared to the normal state. When a conductor possesses a static background charge distribution, superconductivity arises even in the…

Superconductivity · Physics 2014-04-28 Kosuke Odagiri

The Higgs mode associated with amplitude fluctuations of the superconducting gap in uniform superconductors usually is heavy, which makes its excitation and detection difficult. We report on the existence of a gapless Higgs mode in the…

Superconductivity · Physics 2022-10-28 Zhao Huang , C. S. Ting , Jian-Xin Zhu , Shi-Zeng Lin

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