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We study effects of a potential barrier on collective modes of superfluid Bose gases in optical lattices. We assume that the barrier is created by local suppression of the hopping amplitude. When the system is in a close vicinity of the…

Quantum Gases · Physics 2017-10-18 Ippei Danshita , Shunji Tsuchiya

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

The Nambu-Goldstone (NG) mode in a Bose-Einstein condensate (BEC) transmits a potential barrier with probability 1 in the zero-energy limit, which is known as the anomalous tunneling. In this paper, we investigate the tunneling properties…

Quantum Gases · Physics 2021-02-24 Terumichi Ohashi , Yuki Kawaguchi

The amplitude (Higgs) mode near the two-dimensional superfluid-Mott glass quantum phase transition is studied. We map the Bose-Hubbard Hamiltonian of disordered interacting bosons onto an equivalent classical XY model in (2+1) dimensions…

Disordered Systems and Neural Networks · Physics 2021-07-19 Jack Crewse , Thomas Vojta

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

We show the exact solution of Bogoliubov equations at zero-energy in the critical supercurrent state for arbitrary shape of potential barrier. With use of this solution, we prove the absence of perfect transmission of excitations in the…

Quantum Gases · Physics 2009-11-03 Daisuke Takahashi , Yusuke Kato

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

We demonstrate that perfect state transfer can be achieved in an optical waveguide lattice governed by a Hamiltonian with modulated nearest-neighbor couplings. In particular, we report the condition that the evolution Hamiltonian should…

Quantum Physics · Physics 2025-06-30 Tonipe Anuradha , Ayan Patra , Rivu Gupta , Aditi Sen De

We clarify the origin of anomalous tunneling [Yu. Kagan et al. Phys. Rev. Lett. 90 (2003) 130402] i.e. the perfect transmission at low energy limit of tunneling of phonon excitations across the potential barrier separating two Bose…

Materials Science · Physics 2008-01-22 Yusuke Kato , Hiroshi Nishiwaki , Akitake Fujita

In superconductors (SC), the Higgs amplitude mode is a coherent oscillation of the order parameter typically generated by THz laser irradiation. In this paper we propose to probe the Higgs mode using electronic transport in ballistic…

Mesoscale and Nanoscale Physics · Physics 2023-09-25 Pierre Vallet , Jérôme Cayssol

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 study the Higgs mode of superfluid Bose gases in a three dimensional optical lattice, which emerges near the quantum phase transition to the Mott insulator at commensurate fillings. Specifically, we consider responses of the Higgs mode…

Quantum Gases · Physics 2018-05-25 Kazuma Nagao , Yoshiro Takahashi , Ippei Danshita

The standard model (SM)-like Higgs boson $h$ has spin zero and light mass around weak scale, so it has the potential to mediate a new and relatively strong force for the particle $\phi$ in the new physics (NP) sector; then $\phi$ may form…

High Energy Physics - Phenomenology · Physics 2017-06-30 Zhaofeng Kang

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

The holographic superconductor is one of the most popular models in the context of applied holography. Despite what its name suggests, it does not describe a superconductor. On the contrary, the low temperature phase of its dual field…

High Energy Physics - Theory · Physics 2023-04-04 Hyun-Sik Jeong , Matteo Baggioli , Keun-Young Kim , Ya-Wen Sun

In this paper the zero modes of fluctuation of cylindrically symmetric self-dual vortices are analyzed and described in full detail. These BPS topological defects arise at the critical point between Type II and Type I superconductors, or,…

High Energy Physics - Theory · Physics 2016-06-01 Alberto Alonso-Izquierdo , Wifredo Garcia Fuertes , Juan Mateos Guilarte

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 investigate tunneling of excitations across a potential barrier separating two spin-1 Bose-Einstein condensates. Using the mean-field theory at the absolute zero temperature, we determine transmission coefficients of excitations in the…

Quantum Gases · Physics 2011-06-01 Shohei Watabe , Yusuke Kato

Observing the ``Higgs" or amplitude mode in superconductors has been a central challenge in condensed matter physics. Moreover, arriving at a theoretical understanding of this mode and how it is accessible in, say, conductivity experiments…

Superconductivity · Physics 2025-04-29 Ke Wang , Rufus Boyack , K. Levin

This work considers the confining and scattering phenomena of electrons in a Lieb lattice subjected to the influence of a rectangular electrostatic barrier. In this setup, hopping amplitudes between nearest neighbors in orthogonal…

Mesoscale and Nanoscale Physics · Physics 2023-05-24 Vít Jakubský , Kevin Zelaya
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