Results 61 to 70 of about 821 (184)
Exact solution of a two-parameter extended Bariev model
Nuclear Physics BAn exactly solvable strongly correlated electron model with two independent parameters is constructed in the frame of the quantum inverse scattering method, which can be seen as a generalization of the Bariev model. Through the Bethe ansatz method, a set
Mingchen Zheng +4 more
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Y-system for γ-deformed ABJM theory
Journal of High Energy Physics, 2017 We investigate the integrable aspects of the planar γ-deformed ABJM theory and propose the twisted asymptotic Bethe ansatz equations. A more general method through a twisted generating functional is discussed, based on which, the asymptotic large L ...
Hui-Huang Chen, Peng Liu, Jun-Bao Wu
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Advanced Functional Materials, Volume 34, Issue 19, May 10, 2024.Ambipolar electrolyte‐gated transistors based on reduced graphene oxide (rGO‐EGTs) are ultra‐sensitive and highly specific immunosensors. The physics and chemistry ruling the device operation are still not fully unraveled. This work aims to elucidate the nature of the observed sensitivity, by proposing a physical–chemical model that quantitatively ...
Matteo Sensi +7 more
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Boundary current fluctuations for the half‐space ASEP and six‐vertex model
Proceedings of the London Mathematical Society, Volume 128, Issue 2, February 2024.Abstract We study fluctuations of the current at the boundary for the half‐space asymmetric simple exclusion process (ASEP) and the height function of the half‐space six‐vertex model at the boundary at large times. We establish a phase transition depending on the effective density of particles at the boundary, with Gaussian symplectic ensemble (GSE ...
Jimmy He
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On the solutions of the Zn-Belavin model with arbitrary number of sites
Nuclear Physics B, 2017 The periodic Zn-Belavin model on a lattice with an arbitrary number of sites N is studied via the off-diagonal Bethe Ansatz method (ODBA). The eigenvalues of the corresponding transfer matrix are given in terms of an unified inhomogeneous T−Q relation ...
Kun Hao +6 more
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Integrable spin-1 model with magnetic impurity
Physical Review Research, 2021 We propose an integrable spin-1 chain with a magnetic impurity whose spin is 1/2. The integrability of the model is based on an operator solution of the associated reflection equation.
Jian Wang +4 more
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Finding the Dynamics of an Integrable Quantum Many‐Body System via Machine Learning
Advanced Physics Research, Volume 3, Issue 1, January 2024.Machine‐learning methods are used to find nonperturbative dynamics of the Gaudin magnet (central‐spin model). The Gaudin magnet has important applications in qubit dynamics/decoherence and in nonequilibrium superconductivity. Integrable models like the Gaudin magnet have many conserved quantities and their dynamics may therefore admit an efficient ...
Victor Wei +3 more
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On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models
Journal of High Energy Physics, 2018 We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant R-matrix.
A. Liashyk, N. A. Slavnov
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Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We tackle the problem of constructing R$R$‐matrices for the category O$\mathcal {O}$ associated to the Borel subalgebra of an arbitrary untwisted quantum loop algebra Uq(g)$U_q({\mathfrak {g}})$. For this, we define an invertible exact functor Fq$\mathcal {F}_q$ from the category O$\mathcal {O}$ linked to Uq−1(g)$U_{q^{-1}}({\mathfrak {g ...
Théo Pinet
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A note on gl2 $$ \mathfrak{g}{\mathfrak{l}}_2 $$-invariant Bethe vectors
Journal of High Energy Physics, 2018 We consider gl2 $$ \mathfrak{g}{\mathfrak{l}}_2 $$-invariant quantum integrable models solvable by the algebraic Bethe ansatz. We show that the form of on-shell Bethe vectors is preserved under certain twist transformations of the monodromy matrix.
S. Belliard, N. A. Slavnov
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