Results 21 to 30 of about 132,022 (206)
Discrete thermodynamic Bethe ansatz [PDF]
We propose discrete TBA equations for models with discrete spectrum. We illustrate our construction on the Calogero-Moser model and determine the discrete 2-body TBA function which yields the exact N-body Calogero-Moser thermodynamics. We apply this algorithm to the Lieb-Liniger model in a harmonic well, a model which is relevant for the microscopic ...
Bergere, Michel +2 more
openaire +4 more sources
Ab initio artificial intelligence: Future research of Materials Genome Initiative
As the field of materials discovery evolves, a shift from traditional trial‐and‐error methods to data‐driven and AI‐driven approaches is gradually taking precedence. This perspective introduces the emerging research field of ab initio AI, which utilizes AI techniques to improve ab initio computational methods.
He Li, Yong Xu, Wenhui Duan
wiley +1 more source
Bethe states of the XXZ spin-12 chain with arbitrary boundary fields
Based on the inhomogeneous T−Q relation constructed via the off-diagonal Bethe Ansatz, the Bethe-type eigenstates of the XXZ spin-12 chain with arbitrary boundary fields are constructed.
Xin Zhang +5 more
doaj +1 more source
On quantum phase crossovers in finite systems [PDF]
In this work we define a formal notion of a quantum phase crossover for certain Bethe ansatz solvable models. The approach we adopt exploits an exact mapping of the spectrum of a many-body integrable system, which admits an exact Bethe ansatz solution ...
Hibberd, Katrina E. +2 more
core +1 more source
Transfer matrices for AdS3/CFT2
We work out the algebraic Bethe ansatz for the worldsheet theory of the AdS 3 × S 3 × T 4 superstring, and use it to derive the transfer matrices for fundamental particles and bound states of the string and mirror model.
Fiona K. Seibold, Alessandro Sfondrini
doaj +1 more source
Introduction to the Bethe Ansatz II
Building on the fundamentals introduced in part I, we employ the Bethe ansatz to study some ground-state properties (energy, magnetization, susceptibility) of the one-dimensional s=1/2 Heisenberg antiferromagnet in zero and nonzero magnetic field. The 2-spinon triplet and singlet excitations from the zero-field ground state are discussed in detail, and
Karbach, Michael +2 more
openaire +5 more sources
Bethe ansatz for QCD pomeron [PDF]
43 pages, LaTeX style, (one reference added)
openaire +2 more sources
Ground-state energies of the open and closed p + ip-pairing models from the Bethe Ansatz
Using the exact Bethe Ansatz solution, we investigate methods for calculating the ground-state energy for the p+ip-pairing Hamiltonian. We first consider the Hamiltonian isolated from its environment (closed model) through two forms of Bethe Ansatz ...
Yibing Shen, Phillip S. Isaac, Jon Links
doaj +1 more source
Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics [PDF]
The one-dimensional Schrodinger equation for the potential x(6)+alphax(2)+l (l+1)/x(2) has many interesting properties. For certain values of the parameters I and a the equation is in turn supersymmetric (Witten) and quasi-exactly solvable (Turbiner ...
Dunning, Clare +2 more
core +1 more source
The Bethe-Ansatz approach to the N $$ \mathcal{N} $$ = 4 superconformal index at finite rank
We investigate the Bethe-Ansatz approach to the superconformal index of N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills with SU(N) gauge group in the context of finite rank, N.
Alfredo González Lezcano +3 more
doaj +1 more source

