Results 41 to 50 of about 840 (180)

Kaleidoscope Yang-Baxter equation for Gaudin’s kaleidoscope models

SciPost Physics Core
Recently, researchers have proposed the Asymmetric Bethe Ansatz method, a theoretical tool that extends the scope of Bethe Ansatz-solvable models by "breaking" partial mirror symmetry via the introduction of a fully reflecting boundary.
Wen-Jie Qiu, Xi-Wen Guan, Yi-Cong Yu
doaj   +1 more source

Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review

Advanced Quantum Technologies, Volume 8, Issue 3, March 2025.
Detection and certification of entanglement and quantum correlations in materials is of fundamental and far‐reaching importance for both basic science and identification of systems suitable for novel technologies. This review article comprehensively covers witnesses suitable to condensed matter, their derivations and experimental applications.
Pontus Laurell, Allen Scheie, Elbio Dagotto, D. Alan Tennant   +3 more
wiley   +1 more source

Bethe Ansatz, quantum circuits, and the F-basis

SciPost Physics
The Bethe Ansatz is a method for constructing exact eigenstates of quantum-integrable spin chains. Recently, deterministic quantum algorithms, referred to as "algebraic Bethe circuits", have been developed to prepare Bethe states for the spin-$1/2$ XXZ ...
Roberto Ruiz, Alejandro Sopena, Esperanza López, Germán Sierra, Balázs Pozsgay
doaj   +1 more source

Extended Bethe-Richardson-Gaudin ansatzes for the solution of a mean-field plus separable pairing model with three non-degenerate j-orbits

Physics Letters B, 2022
Based on the Bethe-Richardson-Gaudin ansatz for the standard pairing model, extended Bethe- Richardson-Gaudin ansatzes for eigenvectors of a spherical mean-field plus separable pairing model with three non-degenerate j-orbits are proffered.
Feng Pan, Yingxin Wu, Shengze Guan, Zhibo Qu, Lianrong Dai, J.P. Draayer   +5 more
doaj   +1 more source

Spin‐s$s$ Dicke States and Their Preparation

Advanced Quantum Technologies, Volume 7, Issue 12, December 2024.
Dicke states are completely symmetric multi‐qubit states, which have many applications in quantum information and quantum computing. This work introduces higher‐spin generalizations of Dicke states, and formulates an efficient quantum circuit for preparing them on a quantum computer. The complete circuit diagram for the spin‐1 Dicke state |D2,2(1)⟩=16(|
Rafael I. Nepomechie, Francesco Ravanini, David Raveh   +2 more
wiley   +1 more source

Exact solution of the Izergin-Korepin Gaudin model with periodic and open boundaries

SciPost Physics Core
We study the Izergin-Korepin Gaudin models with both periodic and open integrable boundary conditions, which describe quantum systems exhibiting novel long-range interactions.
Xiaotian Xu, Pei Sun, Xin Zhang, Junpeng Cao, Tao Yang
doaj   +1 more source

Exact solution of the sp(4) integrable spin chain with generic boundaries

Journal of High Energy Physics, 2019
The off-diagonal Bethe ansatz method is generalized to the integrable model associated with the sp(4) (or C 2) Lie algebra. By using the fusion technique, we obtain the complete operator product identities among the fused transfer matrices.
Guang-Liang Li, Junpeng Cao, Panpan Xue, Zhi-Rong Xin, Kun Hao, Wen-Li Yang, Kangjie Shi, Yupeng Wang   +7 more
doaj   +1 more source

Attainable bounds for algebraic connectivity and maximally connected regular graphs

Journal of Graph Theory, Volume 107, Issue 3, Page 522-549, November 2024.
Abstract We derive attainable upper bounds on the algebraic connectivity (spectral gap) of a regular graph in terms of its diameter and girth. This bound agrees with the well‐known Alon–Boppana–Friedman bound for graphs of even diameter, but is an improvement for graphs of odd diameter. For the girth bound, we show that only Moore graphs can attain it,
Geoffrey Exoo, Theodore Kolokolnikov, Jeanette Janssen, Timothy Salamon   +3 more
wiley   +1 more source

Embedded Many‐Body Green's Function Methods for Electronic Excitations in Complex Molecular Systems

WIREs Computational Molecular Science, Volume 14, Issue 6, November/December 2024.
ABSTRACT Many‐body Green's function theory in the GW approximation with the Bethe–Salpeter equation (BSE) provides a powerful framework for the first‐principles calculations of single‐particle and electron–hole excitations in perfect crystals and molecules alike. Application to complex molecular systems, for example, solvated dyes, molecular aggregates,
Gianluca Tirimbó, Vivek Sundaram, Björn Baumeier   +2 more
wiley   +1 more source

Bethe ansatz for quantum-deformed strings

Journal of High Energy Physics, 2021
Two distinct η-deformations of strings on AdS5 ×S5 can be defined; both amount to integrable quantum deformations of the string non-linear sigma model, but only one is itself a superstring background.
Fiona K. Seibold, Alessandro Sfondrini
doaj   +1 more source