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We consider random lattice triangulations of $n\times k$ rectangular regions with weight $\lambda^{|\sigma|}$ where $\lambda>0$ is a parameter and $|\sigma|$ denotes the total edge length of the triangulation. When $\lambda\in(0,1)$ and $k$…

Probability · Mathematics 2015-05-25 Pietro Caputo , Fabio Martinelli , Alistair Sinclair , Alexandre Stauffer

We investigate bipartite entanglement in spin-1/2 systems on a generic lattice. For states that are an equal superposition of elements of a group $G$ of spin flips acting on the fully polarized state $\ket{0}^{\otimes n}$, we find that the…

Quantum Physics · Physics 2007-05-23 Alioscia Hamma , Radu Ionicioiu , Paolo Zanardi

Exactly solvable frustrated quantum spin models consisting of a diamond unit structure are presented. The ground states are characterized by tetramer-dimer states with a macroscopic degeneracy in a certain range of isotropic exchange…

Strongly Correlated Electrons · Physics 2016-10-03 K. Morita , N. Shibata

We investigate magnetism and quantum phase transitions in a one-dimensional system of integrable spin-1 bosons with strongly repulsive density-density interaction and antiferromagnetic spin exchange interaction via the thermodynamic Bethe…

Quantum Gases · Physics 2009-12-22 J. Y. Lee , X. W. Guan , M. T. Batchelor , C. Lee

At large values of the anisotropy \Delta, the open-boundary Heisenberg spin-1/2 chain has eigenstates displaying localization at the edges. We present a Bethe ansatz description of this `edge-locking' phenomenon in the entire \Delta>1…

Strongly Correlated Electrons · Physics 2013-12-24 Vincenzo Alba , Kush Saha , Masudul Haque

Few-magnon bound states in quantum spin chains have been long studied and attracted much recent attentions. For a higher-spin ferromagnetic XXZ chain with single-ion anisotropy, several features regarding the evolution of the low-lying…

Strongly Correlated Electrons · Physics 2024-09-10 Xinlan Lou , Jiawei Li , Ning Wu

We investigate the self-bound states of dipolar Dy condensates with the Gaussian-state ansatz which improves the conventional coherent-state ansatz with multimode squeezed coherent states. We show that the self-bound states consist of the…

Quantum Gases · Physics 2020-10-21 Yuqi Wang , Longfei Guo , Su Yi , Tao Shi

Chains of coupled two-level atoms behave as 1D quantum spin systems, exhibiting free magnons and magnon bound states. While these excitations are well studied for closed systems, little consideration has been given to how they are altered…

Quantum Gases · Physics 2019-06-26 C. D. Parmee , N. R. Cooper

We study a one-dimensional Heisenberg chain with competing ferromagnetic nearest-neighbor and antiferromagnetic next-nearest neighbor interactions in magnetic field. Starting from the fully polarized high-field state, we calculate the…

Other Condensed Matter · Physics 2007-08-27 Lars Kecke , Tsutomu Momoi , Akira Furusaki

We show that the coupling of homogeneous Heisenberg spin-1/2 ladders in different phases leads to the formation of interfacial zero energy Majorana bound states. Unlike Majorana bound states at the interfaces of topological quantum wires,…

We study the thermodynamic properties of dimerized spin-gapped quantum magnets with and without exchange anisotropy (EA) and Dzyaloshinsky and Moriya (DM) anisotropies within the mean-field approximation (MFA). For this purpose we obtain…

Quantum Gases · Physics 2021-01-01 Abdulla Rakhimov , Asliddin Khudoyberdiev , Luxmi Rani , B. Tanatar

We derive the (matrix-valued) Feynman rules of mass perturbation theory of the massive Schwinger model for non-zero vacuum angle theta. Further, we discuss the properties of the three-boson bound state and compute -- by a partial…

High Energy Physics - Theory · Physics 2009-07-24 C. Adam

We find closed formulas for the overlaps of Bethe eigenstates of $\mathfrak{gl}(N)$ symmetric spin chains and integrable boundary states. We derive the general overlap formulas for $\mathfrak{gl}(M)\oplus\mathfrak{gl}(N-M)$ symmetric…

High Energy Physics - Theory · Physics 2023-12-21 Tamas Gombor

This paper addresses the well posedness of a dynamical model of perfect plasticity with mixed boundary conditions for general closed and convex elasticity sets. The proof relies on an asymptotic analysis of the solution of a perfect…

Analysis of PDEs · Mathematics 2022-02-16 Jean-François Babadjian , Randy Llerena

We determine the complete set of generalized spin squeezing inequalities. These are entanglement criteria that can be used for the experimental detection of entanglement in a system of spin-1/2 particles in which the spins cannot be…

Quantum Physics · Physics 2011-11-09 Geza Toth , Christian Knapp , Otfried Gühne , Hans J. Briegel

Observing constituent particles with fractional quantum numbers in confined and deconfined states is an interesting and challenging problem in quantum many-body physics. Here we further explore a computational scheme [Y. Tang and A. W.…

Strongly Correlated Electrons · Physics 2016-01-05 Ying Tang , Anders W. Sandvik

The spin-1 Ising-Heisenberg diamond chain in a magnetic field is exactly solved by a rigorous treatment based on the transfer-matrix method. An exact ground-state phase diagram includes in total three unconventional quantum ground states…

Statistical Mechanics · Physics 2015-06-19 Nerses Ananikian , Jozef Strecka , Vahan Hovhannisyan

A general three-dimensional noncommutative quantum mechanical system mixing spatial and spin degrees of freedom is proposed. The analogous of the harmonic oscillator in this description contains a magnetic dipole interaction and the ground…

High Energy Physics - Theory · Physics 2009-10-06 H. Falomir , J. Gamboa , J. Lopez-Sarrion , F. Mendez , P. A. G. Pisani

The experimental realization of various spin ladder systems has prompted their detailed theoretical investigations. Here we study the evolution of ground state magnetization with an external magnetic field for two different…

Strongly Correlated Electrons · Physics 2009-10-31 Kunj Tandon , Siddhartha Lal , Swapan K. Pati , S. Ramasesha , Diptiman Sen

A detailed study of an $S={1\over2}$ spin ladder model is given. The ladder consists of plaquettes formed by nearest neighbor rungs with all possible SU(2)-invariant interactions. For properly chosen coupling constants, the model is shown…

Condensed Matter · Physics 2009-10-31 S. Albeverio , S. M. Fei , Y. P. Wang
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