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The ordering dynamics of the Higgs field is studied, using techniques inspired by the study of phase ordering in condensed matter physics, as a first step to understanding the evolution of cosmic structure through the formation of…

High Energy Physics - Phenomenology · Physics 2009-10-28 Joao A. N. Filipe , Alan J. Bray

We study the two-particle spectral functions and collective modes of weakly disordered superconductors using a disordered attractive Hubbard model on square lattice. We show that the disorder induced scattering between collective modes…

Superconductivity · Physics 2023-08-14 Prathyush P. Poduval , Abhisek Samanta , Prashant Gupta , Nandini Trivedi , Rajdeep Sensarma

In high energy physics, the Higgs field couples to gauge bosons and fermions and gives mass to their elementary excitations. Experimentally, such couplings can be inferred from the decay product of the Higgs boson, i.e. the scalar…

Nontrivial symmetry of order parameters is crucial in some of the most interesting quantum many-body states of ultracold atoms and condensed matter systems. Examples in cold atoms include p-wave Feshbach molecules and d-wave paired states…

Quantum Gases · Physics 2011-05-02 Takuya Kitagawa , Alain Aspect , Marcus Greiner , Eugene Demler

A theory for the phenomena observed in Copper-Oxide based high temperature superconducting materials derives an elusive time-reversal and rotational symmetry breaking order parameter for the observed pseudogap phase ending at a…

Condensed Matter · Physics 2009-10-31 C. M. Varma

We extend the well-established action of the Higgs mode in $s$-wave superconductors to include quantum fluctuations (QFs). We find that already one-loop quantum corrections to the Higgs propagator shift its eigenfrequency below the…

Superconductivity · Physics 2026-04-17 Sida Tian , Naoto Tsuji , Dirk Manske

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

We investigate the behavior of the Higgs (amplitude) mode when superconductivity emerges on a preexisting charge-density-wave state. We show that the weak overdamped square-root singularity of the amplitude fluctuations in a standard BCS…

Superconductivity · Physics 2015-02-09 T. Cea , L. Benfatto

According to the Goldstone theorem the breaking of a continuous U(1) symmetry comes along with the existence of low-energy collective modes. In the context of superconductivity these excitations are related to the phase of the…

Superconductivity · Physics 2014-06-19 T. Cea , D. Bucheli , G. Seibold , L. Benfatto , J. Lorenzana , C. Castellani

We study collective modes near the quantum critical point of a pair-density-wave (PDW) superconductor in 2+1 dimensions. The fate of gaps of various collective modes is investigated by functional renormalization. For incommensurate PDW…

Strongly Correlated Electrons · Physics 2020-01-13 Shao-Kai Jian , Michael M. Scherer , Hong Yao

Quantum materials are epitomized by the influence of collective modes upon their macroscopic properties. Relatively few examples exist, however, whereby coherence of the ground-state wavefunction directly contributes to the conductivity.…

We report a combined electrical transport and optical study of the superconductivity in atomically thin NbSe$_2$. When subjected to an out-of-plane magnetic field, an anomalous metallic state emerges, characterized by a finite longitudinal…

Superconductivity · Physics 2025-02-17 Yu Du , Gan Liu , Wei Ruan , Zhi Fang , Kenji Watanabe , Takashi Taniguchi , Ronghua Liu , Jian-Xin Li , Xiaoxiang Xi

Ultrafast responses of BCS superconductor Nb1-xTixN films in a nonadiabatic excitation regime were investigated by using terahertz (THz) pump-THz probe spectroscopy. After an instantaneous excitation with the monocycle THz pump pulse, a…

We investigate general differential relations connecting the respective behavior s of the phase and modulo of probability amplitudes of the form $\amp{\psi_f}{\psi}$, where $\ket{\psi_f}$ is a fixed state in Hilbert space and $\ket{\psi}$…

Mathematical Physics · Physics 2007-05-23 Alonso Botero

We evaluate the frequencies of scissors modes for density and concentration fluctuations in a vapour of fermionic atoms placed in two hyperfine levels inside a spherical harmonic trap. Both the superfluid and the normal state are…

Statistical Mechanics · Physics 2009-10-31 Anna Minguzzi , Mario P. Tosi

High-order harmonic generation (HHG) in solids has emerged as a versatile platform for exploring ultrafast and quantum-coherent phenomena in condensed matter. Recent advances reveal Berry-phase and topological effects in harmonic emission,…

Optics · Physics 2025-10-20 Marcelo F. Ciappina

Using the classical recursion relations we compute scattering amplitudes in a spontaneously broken Gauge-Higgs theory into final states involving high multiplicities of massive vector bosons and Higgs bosons. These amplitudes are computed…

High Energy Physics - Phenomenology · Physics 2015-06-23 Valentin V. Khoze

Complex phase diagrams are generic feature of quantum materials that display high temperature superconductivity. In addition to d-wave superconductivity (or other unconventional states), these phase diagrams typically include various forms…

Superconductivity · Physics 2025-07-29 Eduardo Fradkin

The concept of mass-generation via the Higgs mechanism was strongly inspired by earlier works on the Meissner-Ochsenfeld effect in superconductors. In quantum field theory, the excitations of longitudinal components of the Higgs field…

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
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