Article
Physics, Multidisciplinary
G. N. Ord
Summary: The chessboard model is Feynman's adaptation of his path integral method to a two-dimensional relativistic domain. It encodes information about contiguous path pairs in a spacetime plane, as required by discrete worldlines in Minkowski space. The extension of this model to 4D is restricted by the requirements of Lorentz transformation, but it provides an illumination of the relationship between relativity and quantum propagation.
FRONTIERS IN PHYSICS
(2023)
Article
Materials Science, Multidisciplinary
Zheyan Wan, Juven Wang, Xiao-Gang Wen
Summary: This article studies bosonic systems on a space-time lattice and introduces the concept of branch-independent bosonic (BIB) systems. It is found that invertible topological orders in branch-independent systems differ from those in generic lattice bosonic systems. The branch dependence on a lattice is related to the orthonormal frame of smooth manifolds and the framing anomaly of continuum field theories.
Article
Physics, Multidisciplinary
Roberto Casadio, Octavian Micu, Jonas Mureika
Summary: This study investigates the possible existence of a Newtonian regime of gravity in 1 + 1 dimensions, examining metrics in both the Kerr-Schild and conformal forms. In the Kerr-Schild case, the metric provides an exact solution to the Poisson equation in flat space, but the weak-field limit and non-relativistic regime of geodesic motion are not trivial. By utilizing harmonic coordinates, the metric is shown to be conformally flat and a weak-field expansion becomes straightforward. However, the analysis of the non-relativistic regime of geodesic motion remains complex, and the weak-field potential only approximately satisfies the flat space Poisson equation.
Article
Quantum Science & Technology
Clement Delcamp, Norbert Schuch
Summary: We discuss two dual tensor network representations of the (3+1)d toric code ground state subspace, characterized by different virtual symmetries generated by string-like and membrane-like operators from initially imposing different family of stabilizer constraints. The topological properties of the model are explored in terms of these virtual symmetries, emphasizing the distinctions between the two representations. Depending on the representation, the phase diagram of boundary entanglement degrees of freedom is associated with that of a (2+1)d Hamiltonian displaying either a global or a gauge Z(2)-symmetry.
Article
Astronomy & Astrophysics
Kuan-Nan Lin, Chih-En Chou, Pisin Chen
Summary: The study investigates the production of massless, scalar particles by a relativistic, semitransparent, plane mirror in (1 + 3)D Minkowski spacetime based on the Barton-Calogeracos (BC) action. Bogoliubov coefficients are derived for mirrors with arbitrary, relativistic trajectories. The study extends the research to (1 + 3)D spacetime and explores the relation between the particle spectrum and particle production probability.
Article
Physics, Multidisciplinary
Akihiro Nishiyama, Shigenori Tanaka, Jack A. Tuszynski
Summary: This paper extends the formalism of Quantum Brain Dynamics to 3+1 dimensions, deriving evolution equations involving water molecules' electric dipoles and photon degrees of freedom. The equations obtained include Schrodinger-like equations for coherent electric dipole fields, Klein-Gordon equations for coherent electric fields, and Kadanoff-Baym equations for incoherent particles. The study also discusses thermodynamic equilibration with entropy production and super-radiance, as well as the presence of the Higgs mechanism and a tachyonic instability in the Klein-Gordon equations.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Astronomy & Astrophysics
I Jack, D. R. T. Jones
Summary: Recent research has extended the calculation of scaling dimensions of operators in φ(n) and O(N) theories, verifying the results up to several loop orders in perturbation theory. Additionally, investigations into the strong-coupling regime have been conducted.
Article
Astronomy & Astrophysics
Yichul Choi, Clay Cordova, Po-Shen Hsin, Ho Tat Lam, Shu-Heng Shao
Summary: This study investigates non-invertible topological defects in quantum systems with higher-form global symmetry and explores their explicit realizations in various cases.
Article
Physics, Multidisciplinary
Pei Liu, Ruixia Wang, Jing-Ning Zhang, Yingshan Zhang, Xiaoxia Cai, Huikai Xu, Zhiyuan Li, Jiaxiu Han, Xuegang Li, Guangming Xue, Weiyang Liu, Li You, Yirong Jin, Haifeng Yu
Summary: Quantum-computation architecture based on d-level systems, or qudits, has attracted considerable attention recently due to their enlarged Hilbert space. We report a physical realization of a qudit with up to four embedded levels in a superconducting transmon demonstrating high-fidelity initialization, manipulation, and simultaneous multilevel readout. Moreover, we perform prototypical quantum algorithms and observe outcomes consistent with expectations. Our work will hopefully stimulate further research interest in developing manipulation protocols and efficient applications for quantum processors with qudits.
Article
Physics, Fluids & Plasmas
Tiago J. Oliveira
Summary: The determination of the KPZ growth exponents is an important open issue in Statistical Physics. This study proposes a formula for the exponents based on the behavior of other growth equations and verifies it through simulations and calculations. The results are consistent with previous estimates in the literature.
Article
Chemistry, Physical
Younghoon Kim, Pronoy Nandi, Donghwa Lee, Hyunjung Shin
Summary: Understanding phase transitions in organic-inorganic hybrid perovskites is crucial due to their impact on structural, electronic, and optical properties. Research on thermochromic perovskite materials demonstrates their potential in smart photovoltaic window applications. Additionally, a study on guanidinium lead triiodide reveals that an atomic layer deposition of SnO2 passivation layer can stabilize the trigonal phase, enhancing the photoswitching property in photodetector devices.
APPLIED SURFACE SCIENCE
(2021)
Article
Physics, Multidisciplinary
Richard M. Milbradt, Lisa Scheller, Christopher Assmus, Christian B. Mendl
Summary: We extend the concept of dual unitary quantum gates introduced in Phys. Rev. Lett. 123, 210601 (2019) to quantum lattice models in 2 + 1 dimensions, by introducing and studying ternary unitary four-particle gates, which are unitary in time and both spatial dimensions. We also generalize solvable matrix product states introduced in Phys. Rev. B 101, 094304 (2020) to two spatial dimensions with cylindrical boundary conditions, by showing that the analogous solvable projected entangled pair states can be identified with matrix product unitaries. We delineate and implement a numerical algorithm for computing such correlations by contracting the remaining tensors.
PHYSICAL REVIEW LETTERS
(2023)
Article
Astronomy & Astrophysics
N. Graham, H. Weigel
Summary: In scalar electrodynamics, we investigate vortices and calculate the leading quantum corrections to their energies for the BPS case where the Higgs and gauge fields have identical classical masses. We find that the quantum corrections are negative and scale approximately linearly with the winding number n, indicating that combined vortices are preferred over isolated ones in both dimensionalities D^(1/4)2 and D^(1/4)3.
Article
Physics, Multidisciplinary
Claudio Bonanno, Andrea Cappelli, Mikhail Kompaniets, Satoshi Okuda, Kay Joerg Wiese
Summary: This study determines the Ising critical exponents eta, nu, and omega up to a relative error of one-per-thousand in the range of dimensions 3 <= d < 4 using numerical conformal-bootstrap techniques. A detailed comparison is made with results from resummed epsilon expansion, analytic bootstrap, Monte Carlo, and non-perturbative renormalization-group methods, showing very good overall agreement. Precise conformal field theory data of scaling dimensions and structure constants are obtained as functions of dimension, improving on previous findings and providing benchmarks in 3 <= d < 4.
Article
Mathematics, Applied
S. H. Aydin, M. C. Erdogan
Summary: This study focuses on the numerical solution of convection-diffusion equations in a 3-D domain using the finite element method. A stabilized version of the method is used to address stability issues in convection-dominated cases. The proposed numerical scheme is applied to solve the magnetohydrodynamic (MHD) equations by transforming the coupled system of differential equations into decoupled convection-diffusion equations. The results are compared with the finite volume method, and the accuracy and effectiveness of the proposed scheme are visualized through tables and figures.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Physics, Particles & Fields
M. Quandt, N. Graham, H. Weigel
Article
Astronomy & Astrophysics
H. Weigel
Article
Physics, Multidisciplinary
H. Weigel
RUSSIAN PHYSICS JOURNAL
(2017)
Article
Astronomy & Astrophysics
H. Weigel, N. Graham
Article
Physics, Nuclear
I. Takyi, H. Weigel
EUROPEAN PHYSICAL JOURNAL A
(2019)
Review
Multidisciplinary Sciences
Herbert Weigel, Ishmael Takyi
Summary: This study outlines and reviews the computations of polarized and unpolarized nucleon structure functions within the bosonized Nambu-Jona-Lasinio chiral soliton model. It focuses on a consistent regularization prescription for the Dirac sea contribution and presents numerical results from that formulation. The study also reflects on previous calculations on quark distributions in chiral quark soliton models and attempts to provide a broader perspective on them.
Article
Physics, Nuclear
N. Graham, H. Weigel
Summary: We review recent progress in computing quantum corrections to the energies of classical solitons with topological structure. Using analytic continuation techniques, we show how quantum corrections affect the stability of solitons in different models, stabilize charged strings, and bind vortices in superconductors.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2022)
Article
Astronomy & Astrophysics
Danial Saadatmand, Herbert Weigel
Summary: We investigate the quantum effects of kink solitons constructed by coupling to an excited fermion bound state. Our study is based on the semiclassical expansion and treats the energy of a single level and the Dirac sea equally. For these kink solutions, we calculate the energy of the Dirac sea as the fermion vacuum polarization energy. We find that it is substantial and typically outweighs the energy gain from binding the single level.
Article
Astronomy & Astrophysics
I. Takyi, H. Weigel
Summary: We compute the vacuum polarization energies (VPEs) of solitons in a self-dual impurity model where the soliton profiles resemble a separated kink-antikink pair. While the classical soliton energies remain invariant under changes in the kink-antikink separation, the VPEs are influenced by quantum effects and determine the energetically most favorable separation. Unlike the 04 model, the considered configurations are classically stable and hence, have well-defined VPEs for any separation, providing insights into quantum corrections to the kink-antikink potential.
Article
Astronomy & Astrophysics
N. Graham, H. Weigel
Summary: In scalar electrodynamics, we investigate vortices and calculate the leading quantum corrections to their energies for the BPS case where the Higgs and gauge fields have identical classical masses. We find that the quantum corrections are negative and scale approximately linearly with the winding number n, indicating that combined vortices are preferred over isolated ones in both dimensionalities D^(1/4)2 and D^(1/4)3.
Article
Astronomy & Astrophysics
N. Graham, H. Weigel
Summary: In this study, the one-loop vacuum polarization energies of Abrikosov-Nielsen-Olesen vortices with topological charge n in scalar electrodynamics were calculated. The relationship between the winding number and the quantum-corrected vortex energy was investigated, revealing a negative vacuum polarization energy approximately proportional to n - 1.
Article
Astronomy & Astrophysics
I Takyi, M. K. Matfunjwa, H. Weigel
Article
Astronomy & Astrophysics
N. Graham, H. Weigel
Article
Astronomy & Astrophysics
Herbert Weigel
Article
Astronomy & Astrophysics
H. Weigel, M. Quandt, N. Graham
