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We consider the Jaynes-Cummings model of a single quantum spin $s$ coupled to a harmonic oscillator in a parameter regime where the underlying classical dynamics exhibits an unstable equilibrium point. This state of the model is relevant to…

Statistical Mechanics · Physics 2015-05-13 O. Babelon , L. Cantini , B. Doucot

We work out the magnetization and susceptibility of Heisenberg- and XXZ-model antiferromagnet spin-1/2 systems in $D$ dimensions under a rigorous constraint of single particle site occupancy. Quantum fluctuations are taken into account up…

Strongly Correlated Electrons · Physics 2016-08-31 Raoul Dillenschneider , Jean Richert

An investigation of the validity of the semiclassical approximation to quantum electrodynamics in 1+1 dimensions is given. The criterion for validity used here involves the impact of quantum fluctuations introduced through a two-point…

General Relativity and Quantum Cosmology · Physics 2025-05-02 Ian M. Newsome , Paul R. Anderson , Eric M. Grotzke

We use the coupled cluster method to study the zero-temperature properties of an extended two-dimensional Heisenberg antiferromagnet formed from spin-1/2 moments on an infinite spatially anisotropic kagome lattice of corner-sharing…

Strongly Correlated Electrons · Physics 2012-12-05 P. H. Y. Li , R. F. Bishop , C. E. Campbell , D. J. J. Farnell , O. Götze , J. Richter

We have established a quantum antiferromagnetic Heisenberg-Ising model on a spin-1/2 pyrochlore edge-shared ladder with Heisenberg intra-rung and Ising inter-rung interactions as a perspicuous candidate to exhibit magnetization mid and zero…

Quantum Physics · Physics 2017-01-13 A. Sadrolashrafi , N. S. Ananikian , L. N. Ananikyan

We have performed a numerical investigation of the ground state properties of the frustrated quantum Heisenberg antiferromagnet on the square lattice (``$J_1-J_2$ model''), using exact diagonalization of finite clusters with 16, 20, 32, and…

Condensed Matter · Physics 2009-10-22 H. J. Schulz , T. A. L. Ziman , D. Poilblanc

We study the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice by numerical diagonalization method. This system shows various behaviours that are different from that of the Cairo-pentagonal-lattice antiferromagnet. The…

Strongly Correlated Electrons · Physics 2024-10-16 Rito Furuchi , Hiroki Nakano , Norikazu Todoroki , Toru Sakai

We investigate the ground-state magnetic structure of the spin-$1/2$ XXZ antiferromagnet on the triangular lattice in the easy-axis regime using the density-matrix renormalization group. By applying spiral boundary conditions, we exactly…

Strongly Correlated Electrons · Physics 2026-04-17 Masahiro Kadosawa , Masaaki Nakamura , Yukinori Ohta , Satoshi Nishimoto

On the basis of analytic solutions of Schrodinger and Pauli equations for a uniform magnetic field and a single attractive $\delta({\bf r})$-potential the equations for the bound one-active electron states are discussed. It is vary…

High Energy Physics - Phenomenology · Physics 2009-11-13 V. N. Rodionov

A fundamental challenge in quantum physics is determining the ground-state properties of many-body systems. Whereas standard approaches, such as variational calculations, consist of writing down a wave function ansatz and minimizing over…

Quantum Physics · Physics 2026-04-03 Jie Wang , David Jansen , Irénée Frerot , Marc-Olivier Renou , Victor Magron , Antonio Acín

The magnetization process of an S=1/2 antiferromagnet on the kagome lattice, [Cu_3(titmb)_2(OCOCH_3)_6]H_2O {titmb= 1,3,5-tris(imidazol-1-ylmethyl)-2,4,6 trimethylbenzene} has been measured at very low temperatures in both pulsed and steady…

Strongly Correlated Electrons · Physics 2009-11-10 Y. Narumi , K. Katsumata , Z. Honda , J. -C. Domenge , P. Sindzingre , C. Lhuillier , Y. Shimaoka , T. C. Kobayashi , K. Kindo

We discuss numerical results for the 1-D spin 1/2 antiferromagnetic Heisenberg model with next-to-nearest neighbour coupling and in the presence of an uniform magnetic field. The model develops zero frequency excitations at field dependent…

Condensed Matter · Physics 2016-08-15 J. F. Audet , A. Fledderjohann , C. Gerhardt , M. Karbach , H. Kröger , K. H. Mütter , M. Schmidt

We study the stability of standing-waves solutions to a scalar non-linear Klein-Gordon equation in dimension one with a quadratic-cubic non-linearity. Orbits are obtained by applying the semigroup generated by the negative complex unit…

Analysis of PDEs · Mathematics 2022-09-12 Daniele Garrisi

Motivated by the possible mechanism for the pinning of the electronic liquid crystal direction in YBCO as proposed in \cite{Pardini08}, we use the first principles Monte Carlo method to study the spin 1/2 Heisenberg model with…

Strongly Correlated Electrons · Physics 2013-05-29 F. J. Jiang , F. Kämpfer , M. Nyfeler

We investigate under which conditions a mixed state on a finite-dimensional multipartite quantum system may be the unique, globally stable fixed point of frustration-free semigroup dynamics subject to specified quasi-locality constraints.…

Quantum Physics · Physics 2016-03-28 Peter D. Johnson , Francesco Ticozzi , Lorenza Viola

We present numerical exact results for the ground state and the low-lying excitations for the spin-1/2 J1-J2 Heisenberg antiferromagnet on finite square lattices of up to N=40 sites. Using finite-size extrapolation we determine the…

Strongly Correlated Electrons · Physics 2010-01-11 J. Richter , J. Schulenburg

Specific heat and the magnetocaloric effect are used to probe the field-induced up-up-down phase of Cs2CuBr4, a quasi-two-dimensional spin-1/2 triangular antiferromagnet with near-maximal frustration. The shape of the magnetic phase diagram…

Strongly Correlated Electrons · Physics 2009-11-13 H. Tsujii , C. R. Rotundu , T. Ono , H. Tanaka , B. Andraka , K. Ingersent , Y. Takano

We use a combination of density matrix renormalization group calculations and analytical approaches to study a simplified model for a spatially anisotropic spin-1/2 triangular lattice Heisenberg antiferromagnet: the three-leg triangular…

Strongly Correlated Electrons · Physics 2013-04-30 Ru Chen , Hyejin Ju , Hong-Chen Jiang , Oleg A. Starykh , Leon Balents

We apply density functional theory band structure calculations, the coupled-cluster method, and exact diagonalization to investigate the microscopic magnetic model of the spin-1/2 compound Cu2GeO4. The model is quasi-two-dimensional, with…

Strongly Correlated Electrons · Physics 2011-03-24 Alexander A. Tsirlin , Ronald Zinke , Johannes Richter , Helge Rosner

Here we generate finite bipartite body-centred cubic lattices up to 32 vertices. We have studied the spin one half Heisenberg antiferromagnet by diagonalizing its Hamiltonian on each of the finite lattices and hence computing its ground…

Condensed Matter · Physics 2009-10-31 D. D. Betts , J. Schulenburg , G. E. Stewart , J. Richter , J. S. Flynn