Article
Materials Science, Multidisciplinary
Michael Schueler, Jacob A. Marks, Yuta Murakami, Chunjing Jia, Thomas P. Devereaux
Summary: The study focused on introducing light-matter interaction in first-principle tight-binding models, comparing the accuracy and gauge invariance of velocity gauge and dipole gauge. The dipole gauge provided a more accurate description in all cases, highlighting the imperfect cancellation of paramagnetic and diamagnetic current as the main deficiency of the velocity gauge.
Article
Materials Science, Multidisciplinary
Xiu-Li Du, Rui Chen, Rui Wang, Dong-Hui Xu
Summary: In this study, we investigated the tunable Floquet states in a periodically driven higher-order nodal-line semimetal with both spatial inversion and time-reversal symmetries. We found that circularly polarized light can induce Floquet Weyl semimetal states in the higher-order nodal-line semimetal and that the location of Weyl nodes and the curvature of surface Fermi arcs can be tuned by adjusting the propagation direction and incident angle of light.
Article
Materials Science, Multidisciplinary
M. Zubair, P. Vasilopoulos, M. Tahir
Summary: We investigate the electronic dispersion and transport properties of graphene/WSe2 heterostructures in the presence of spin-orbit coupling, sublattice potential, and off-resonant circularly polarized light. We find that the interplay between different perturbation terms leads to inverted spin-orbit coupled bands. At high intensity of the off-resonant light, the inverted band structure transfers into the direct band structure. The valley-Hall conductivity behaves as an even function of the Fermi energy and switches sign when the polarization of the off-resonant light changes. The valley polarization and corresponding spin polarization are affected by the presence of the off-resonant light. Furthermore, the charge Hall conductivity is finite and changes sign with the handedness of the light polarization.
Article
Engineering, Mechanical
F. Fantoni, L. Morini, A. Bacigalupo, M. Paggi
Summary: This study examines the dynamic behavior of periodic thermodiffusive mull-layered media excited by harmonic oscillations, and investigates the frequency band structure and eigenvalue problem associated with wave propagation in the medium. The effects of thermodiffusion coupling on the propagation of Bloch waves in these systems are analyzed in detail.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Physics, Mathematical
Mitia Duerinckx, Antoine Gloria, Christopher Shirley
Summary: The study investigates the long-time behavior of the Schrodinger flow in a heterogeneous potential with small intensity, introducing an approximate stationary Floquet-Bloch theory for perturbed Schrodinger operators. The approach leads to an accurate description of the Schrodinger flow as an effective unitary correction of the free flow, and can be applied to linear waves robustly. It also allows for extending diffractive geometric optics to quasiperiodically perturbed media, ensuring asymptotic ballistic transport up to a stretched exponential timescale.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2021)
Article
Materials Science, Multidisciplinary
Phuong X. Nguyen, Wang-Kong Tse
Summary: This study investigates the photoinduced anomalous Hall effect in undoped TMDs irradiated by a strong coherent laser field. The strong field renormalizes the equilibrium bands and opens up a dynamical energy gap, leading to notable resonant effects under the simultaneous influence of the strong ac pump field and the weak dc probe field. The anomalous Hall current is mainly driven by the intraband response of photon-dressed electron populations near the dynamical gap at both valleys, highlighting the importance of photon-dressed bands and nonequilibrium distribution functions in understanding this effect.
Article
Engineering, Multidisciplinary
Eduard Rohan, Vu-Hieu Nguyen, Salah Naili
Summary: This study focuses on fluid-saturated poroelastic media governed by the Biot model at a mesoscopic scale, using periodic functions to describe material properties and deriving a formulation based on Floquet-Bloch wave decomposition. The results show good correspondence between wave dispersion results obtained by the Floquet-Bloch approach and those computed using a model derived from asymptotic analysis with respect to the scale parameter.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Materials Science, Multidisciplinary
Matteo Filippi, Alfonso Pagani, Erasmo Carrera
Summary: This paper presents advanced-kinematics beam models to calculate the dispersion characteristics of one-dimensional guides. Higher-order functions and two-dimensional expansions are used to describe section deformations, while shape functions approximate displacement fields. The stiffness and mass matrices are calculated using the Wave Finite Element Method to build a transfer matrix for the representative waveguide portion.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Physics, Multidisciplinary
Joaquin Minguzzi, Zijie Zhu, Kilian Sandholzer, Anne -Sophie Walter, Konrad Viebahn, Tilman Esslinger
Summary: Constructing new topological materials is crucial for the development of robust quantum applications. In this study, we demonstrate topological pumping in a Floquet-Bloch band by using a plain sinusoidal lattice potential and two-tone driving. Our results establish a novel paradigm for engineering topological matter from simple underlying lattice geometries.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Biao Huang, Tsz-Him Leung, Dan M. Stamper-Kurn, W. Vincent Liu
Summary: This paper analytically identifies a new class of quantum scars, called Floquet-Bloch scars, which are protected by spatiotemporal translation symmetries. These scars are distinguished from previous (quasi-) static scars by their rigid spectral pairing, which is only possible in Floquet systems. The strong interaction and drivings in these systems equalize the quasienergy corrections to all scars, maintaining their spectral spacings against generic perturbations.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Fluids & Plasmas
Li Gan, Stephane Ouvry, Alexios P. Polychronakos
Summary: This study investigates the enumeration problem of closed walks on the honeycomb lattice and maps it to a Hofstadter-like Hamiltonian. The results show a connection between the generating function of closed walks and the grand partition function of a particle system with exclusion statistics of order 2.
Article
Materials Science, Multidisciplinary
Jin-Na Chen, Yan-Yan Yang, Yong-Long Zhou, Yong-Jia Wu, Hou-Jian Duan, Ming-Xun Deng, Rui-Qiang Wang
Summary: This study investigates the photon-modulated anomalous Hall effect in two-dimensional semi-Dirac materials. Through the manipulation of circularly polarized light, rich topological phases and interesting phenomena related to topological transitions can be realized. The findings provide insights into the topological properties of emergent type-II semi-Dirac semimetals.
Article
Materials Science, Multidisciplinary
Yasuhiro Tanaka, Masahito Mochizuki
Summary: In this study, the real-time dynamics of a photoinduced topological phase transition to a nonequilibrium Floquet Chern insulator in an organic conductor were theoretically investigated. The results demonstrate the characteristics of the Floquet topological insulator, such as slow oscillations in the Hall conductivity and gap formation at the Dirac point during pulse irradiation. The relevance of the findings to experimental studies was also discussed.
Article
Engineering, Multidisciplinary
Shahab Amanat, Reza Rafiee-Dehkharghani, Maryam Bitaraf, Dipanshu Bansal
Summary: This paper studies the use of periodically arranged seismic barriers to mitigate seismic surface waves in layered soils. The research finds that by increasing the surface stiffness of the existing ground, the barriers effectively reduce the amplitude of surface seismic waves, thus mitigating damage from seismic events.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2022)
Article
Physics, Multidisciplinary
Upendra Kumar
Summary: This study describes the impact of structural parameter on the Floquet spectra of the alpha - T-3 lattice model. A comparison between classical and quantum Floquet frequency is made using the Jaynes-Cummings model. The collapse-revival behavior of Floquet oscillations is investigated, revealing that the structural parameter significantly influences the collapse-revival time. The pump-probe experiment is theoretically studied for the detection of Floquet oscillation. The study also includes the modification of the Rabi frequency with the inclusion of the counter-rotating term, known as the Bloch-Siegert shift. The Bloch-Siegert shift is analyzed in relation to the structural parameter. The tuning of the band is described with the help of Floquet frequency. A numerical simulation is performed to validate the analytical expression of the Floquet frequency.
CHINESE JOURNAL OF PHYSICS
(2022)
Article
Mathematics
Charles Fefferman, Pavel Shvartsman
GEOMETRIC AND FUNCTIONAL ANALYSIS
(2018)
Article
Mathematics
Charles Fefferman, Bernat Guillen Pegueroles
Summary: This paper presents efficient algorithms for approximate C-m(R-n, R-D)-selection, which can solve the smooth selection problem while guaranteeing the interpolation function norm bounded.
JOURNAL OF GEOMETRIC ANALYSIS
(2021)
Article
Computer Science, Theory & Methods
Charles Fefferman, Sergei Ivanov, Yaroslav Kurylev, Matti Lassas, Hariharan Narayanan
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
(2020)
Article
Mathematics
Charles Fefferman, Alex Ionescu, Terence Tao, Stephen Wainger, Akos Magyar, Mariusz Mirek, Alexander Nagel, D. H. Phong, Lillian Pierce, Fulvio Ricci, Christopher Sogge, Brian Street, Loredana Lanzani
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY
(2020)
Article
Physics, Mathematical
A. Drouot, C. L. Fefferman, M. I. Weinstein
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2020)
Article
Mathematics
Charles Fefferman, Garving K. Luli
Summary: This paper presents algorithms for computing a finite list of linear partial differential operators to find solutions to a system of equations involving a matrix and functions, where the linear partial differential operators must annihilate the given functions for the solution to exist.
REVISTA MATEMATICA IBEROAMERICANA
(2021)
Article
Mathematics
Charles Fefferman, Garving K. Luli
Summary: This paper presents an algorithm for computing generators for the C-m-closure of a set of real polynomials in the ring on R-n.
REVISTA MATEMATICA IBEROAMERICANA
(2021)
Article
Physics, Mathematical
C. L. Fefferman, M. I. Weinstein
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2020)
Article
Mathematics
Charles Fefferman, Bernat Guillen Pegueroles, Clarence W. Rowley, Melanie Weber
Summary: This paper presents optimal control strategies for a simple toy problem, where the underlying dynamics depend on an initially unknown and learnable parameter. Different versions of the problem, including Bayesian control and agnostic control, are studied, and strategies minimizing regret are obtained by comparing performance with an opponent who knows the parameter value.
REVISTA MATEMATICA IBEROAMERICANA
(2022)
Article
Mathematics, Applied
Charles L. Fefferman, Benjamin C. Pooley, Jose L. Rodrigo
Summary: For any h in the range of (1, 2], a velocity field in R-2 is constructed that weakly advects a measure with Hausdorff dimension h. The study also involves the construction of active scalar systems in R-2 and R-3 with measure-valued solutions, where the support evolves from co-dimension 2 to 1 over time, and the associated velocities satisfy the conditions for the existence of unique Regular Lagrangian Flows. This research is motivated by the investigation of dimension conservation for measure-valued solutions in active scalar systems, specifically in relation to vortex filaments in the three-dimensional Euler equations.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
(2021)
Article
Mathematics, Applied
Charles Fefferman, Jacob Shapiro, Michael Weinstein
Summary: This paper considers a particle bound to a two-dimensional plane and a double-well potential, subject to a perpendicular uniform magnetic field. It obtains upper and lower bounds on the energy difference between the lowest two eigenvalues, known as the eigenvalue splitting, in the regime where both the magnetic field strength and the depth of the wells are large. The main step is to derive a lower bound on the hopping amplitude between the wells, which is given by an oscillatory integral with no critical point and is exponentially small.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
(2022)
Article
Mathematics
Charles L. Fefferman, Karol W. Hajduk, James C. Robinson
Summary: We study the approximation of functions defined on smooth bounded domains by elements of the eigenspaces of the Laplacian or the Stokes operator. The approximations are shown to be both bounded and convergent in Sobolev and Lebesgue spaces. We prove an abstract result on fractional power spaces of positive, self-adjoint, compact-inverse operators on Hilbert spaces and derive our main result by utilizing the explicit form of these fractional power spaces for the Dirichlet Laplacian and Stokes operators. As an application, we demonstrate that weak solutions of the convective Brinkman-Forchheimer equations on a bounded domain satisfy the energy equality.
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
(2022)
Article
Mathematics, Applied
Charles Fefferman, Sergei Ivanov, Matti Lassas, Hariharan Narayanan
SIAM JOURNAL ON MATHEMATICS OF DATA SCIENCE
(2020)
Article
Mathematics
Angel Castro, Diego Cordoba, Charles Fefferman, Francisco Gancedo, Javier Gomez-Serrano
Article
Mathematics, Applied
Charles L. Fefferman, James P. Lee-Thorp, Michael I. Weinstein
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
(2018)
