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Clock-spin models are attracting great interest, due to both their rich phase diagram and their connection to parafermions. In this context, we derive an exact local mapping from clock-spin to fermionic partition functions. Such mapping,…

Statistical Mechanics · Physics 2024-01-22 Simone Traverso , Christoph Fleckenstein , Maura Sassetti , Niccolò Traverso Ziani

We introduce a family of strongly-correlated spin wave functions on arbitrary spin-1/2 and spin-1 lattices in one and two dimensions. These states are lattice analogues of Moore-Read states of particles at filling fraction 1/q, which are…

Strongly Correlated Electrons · Physics 2015-08-07 Ivan Glasser , J. Ignacio Cirac , Germán Sierra , Anne E. B. Nielsen

Laser spectroscopy of the low lying $^1$P and $^3$D states in atomic barium has been performed. This work contributes substantially to the development of an effective laser cooling and trapping for heavy alkaline earth elements and aims in…

Atomic Physics · Physics 2009-11-13 U. Dammalapati , S. De , K. Jungmann , L. Willmann

The exact nonequilibrium time evolution of the momentum distribution for a finite many particle system in one dimension with a linear energy dispersion coupled to optical phonons is presented. For distinguishable particles the influence…

Condensed Matter · Physics 2007-05-23 K. Schoenhammer , C. Woehler

We develop an approximation-free Diagrammatic Monte Carlo technique to study fermionic particles interacting with each other simultaneously through both an attractive Coulomb potential and bosonic excitations of the underlying medium.…

Strongly Correlated Electrons · Physics 2009-11-13 Evgeni Burovski , Holger Fehske , Andrei S. Mishchenko

The family of solutions to the Dirac equation for an electron moving in an electromagnetic lattice with the chiral structure created by counterpropagating circularly polarized plane electromagnetic waves is obtained. At any nonzero…

Quantum Physics · Physics 2017-11-08 G. N. Borzdov

A method for precise calculation of the energy corrections due to second order electric quadrupole interactions, as well as mixed electric quadrupole-vacuum polarization in the framework of the dynamic hyperfine structure in heavy muonic…

Atomic Physics · Physics 2019-04-10 Niklas Michel , Natalia S. Oreshkina

We study propagation of high-frequency electromagnetic waves in a curved spacetime. We demonstrate how a modification of the standard geometric optics allows one to include the helicity dependent corrections into the equations of motion of…

General Relativity and Quantum Cosmology · Physics 2020-10-14 Valeri P. Frolov

The electronic Schr\"odinger equation describes the motion of N electrons under Coulomb interaction forces in a field of clamped nuclei. The solutions of this equation, the electronic wavefunctions, depend on 3N variables, three spatial…

Numerical Analysis · Mathematics 2017-01-16 Stephan Scholz , Harry Yserentant

We show how to exploit the rich hyperfine structure of fermionic alkali atoms to produce a quasi-1D topological superfluid while avoiding excessive heating from off-resonant scattering. We model interacting fermions where four hyperfine…

Quantum Gases · Physics 2014-01-31 Junjun Xu , Qiang Gu , Erich J. Mueller

The form of the wave function at three-electron coalescence points is examined for several spin states using an alternative method to the usual Fock expansion. We find that, in two- and three-dimensional systems, the non-analytical nature…

Chemical Physics · Physics 2016-01-18 Pierre-François Loos , Nathaniel J. Bloomfield , Peter M. W. Gill

Diffusion Monte Carlo (DMC) based on fixed-node approximation has enjoyed significant developments in the past decades and become one of the go-to methods when accurate ground state energy of molecules and materials is needed. The remaining…

Chemical Physics · Physics 2023-08-07 Weiluo Ren , Weizhong Fu , Xiaojie Wu , Ji Chen

We study transport equations for quantum many-particle systems in terms of correlations by applying the general formalism developed in an earlier paper to exactly soluble electron-phonon models. The one-dimensional models considered are the…

Statistical Mechanics · Physics 2009-10-28 J. Fricke , V. Meden , C. Wohler , K. Schonhammer

"Bottom-up" approaches to the many-body physics of fermions have demonstrated recently precise number and site-resolved preparations with tunability of interparticle interactions in single-well, SW, and double-well, DW, nano-scale…

Quantum Gases · Physics 2015-09-10 Benedikt B. Brandt , Constantine Yannouleas , Uzi Landman

We study a two-dimensional system of spin-polarized fermions on the kagome lattice at filling fraction f=1/3 interacting through a nearest-neighbor interaction V. Above a critical interaction strength V_c a charge-density wave with a broken…

Strongly Correlated Electrons · Physics 2015-03-17 Andreas Ruegg , Gregory A. Fiete

Due to the many unique transport properties of Weyl semimetals, they are promising materials for modern electronics. We investigate the electrons in the strong coupling approximation near Weyl points based on their representation as…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Mariya Iv. Trukhanova , Pavel Andreev

In this work we include electron-electron interaction beyond Hartree-Fock level in our non-equilibrium Green's function approach by a crude form of GW through the Single Plasmon Pole Approximation. This is achieved by treating all…

Mesoscale and Nanoscale Physics · Physics 2016-05-02 David O. Winge , Martin Franckié , Claudio Verdozzi , Andreas Wacker , Mauro F. Pereira

The scattering of fermions in the background field of a topological soliton of the modified $(2 + 1)$-dimensional $\mathbb{CP}^{1}$ model is studied here both analytically and numerically. Unlike the original $\mathbb{CP}^{1}$ model, the…

High Energy Physics - Theory · Physics 2025-06-25 A. Yu. Loginov

We present a new theoretical approach for the study of the phase diagram of interacting quantum particles: bosons, fermions or spins. In the neighborhood of a phase transition, the expected renormalization group structure is recovered both…

Strongly Correlated Electrons · Physics 2009-10-31 Pietro Gianinetti , Alberto Parola

We study a two-dimensional electron system in a magnetic field with a fermion hardcore interaction and without disorder. Projecting the Hamiltonian onto the n-th Landau level, we show that the Hartree-Fock theory is exact in the limit n…

Condensed Matter · Physics 2009-10-28 R. Moessner , J. T. Chalker
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