Bethe Ansatz equations
Thermodynamic Bethe ansatz of the homogeneous sine-Gordon models
... key equations are the Bethe ansatz equations, which are the outcome of dragging one soliton, say of type A = (a, i), along the world ...of Bethe Ansatz ...
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Nested Algebraic Bethe Ansatz for Open Spin Chains with Even Twisted Yangian Symmetry
... algebraic Bethe ansatz (ABA) introduced in [STF] has proven to be a powerful method to study quantum integrable ...algebraic equations, known as the Bethe ansatz equations (BAE), ...
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Integrability of Bukhvostov-Lipatov model and ODE/IQFT correspondence
... coordinate Bethe ansatz is provided. Two different regularizations of Bethe ansatz equations are con- ...methods. Bethe ansatz equations gov- erning the vacuum ...
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Quantum description of dark solitions in one dimensional quantum gases : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Physics at Massey University, Albany, New Zealand
... finite Bethe ansatz equations for the Lieb-Liniger and Yang- Gaudin models ...limit Bethe ansatz equations for all states of interest in both models are derived, and the missing ...
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The Thermodynamics and Fractional Statistics of the Spinor Bose Gas
... The Bethe ansatz was introduced in 1931 by Hans Bethe [24] as a proposed method to obtain the eigenspectrum of the one-dimensional Heisenberg ...the Bethe-Hulth´ en hypothesis [25], which ...
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Lu_2016_on.pdf
... In all previously known cases when the dimension of the space of singular vectors of a given weight is one, the elementary symmetric functions of solutions of Bethe ansatz equations completely ...
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Exponents of spectral functions in the one-dimensional Bose gas
... We employed a procedure consisting of calculating the O(1/L) terms of the energy using the discrete Bethe ansatz equations. The finite size corrections are evaluated for the system in the ground ...
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Two dimensional gauge theories and quantum integrable systems
... the Bethe Ansatz equations for the quantum theory of the Nonlinear Schr¨ oinger equation was ...of Bethe Ansatz equations in two-dimensional gauge theories was made in [3] where ...
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The thermodynamic Bethe Ansatz approach to exactly solvable models in statistical mechanics and quantum field theory
... TBA equations, were respectively examined by Kirillov and Reshetikhin [70], and Bazhanov and Reshetikhin [72], These works follow the analytic Bethe Ansatz (ABA) approach [73] and use the fusion ...
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Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz
... thermodynamic Bethe ansatz equations, together with their corresponding equation for the Virasoro central charge, on the base of an analysis of the classical limit for the characters and the ...
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Large and small Density Approximations to the thermodynamic Bethe Ansatz
... We provide analytical solutions to the thermodynamic Bethe ansatz equations in the large and small density approximations. We extend results previously obtained for leading order behaviour of the ...
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Exceptional Operators in N=4 super Yang Mills
... asymptotic Bethe Ansatz and introduce a ...the Bethe-Yang equations up to the order λ 6 accompanied by a small φ-expansion which reveals a singular nature of the state under ...TBA ...
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Excited states in Bethe ansatz solvable models and the dressing of spin and charge
... the only strings which have a non-zero density and so the ground state is spin polarised. As y-particles have charge 1 and spin 1 2 the magnetisation of the ground state is equal to half of the density. The phase diagram ...
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Uniform light cone gauge for strings in AdS(5) x s**5: Solving SU(1|1) sector
... On the other hand, it is known that string theory admits consistent truncations to smaller sectors which contain in particular string states dual to operators from the corresponding closed sectors of gauge theory. In ...
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The scaling function at strong coupling from the quantum string Bethe equations
... superstring. To this aim, we present a detailed analysis of the Bethe equations by numerical and analytical methods. We recover several short string semiclassical results as a check. In the more difficult ...
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Quantum relativistic Toda chain at root of unity: isospectrality, modified Q operator, and functional Bethe ansatz
... We investigate an N-state spin model called quantum relativistic Toda chain and based on the unitary finite-dimensional representations of the Weyl algebra with q being Nth primitive root of unity. Parameters of the ...
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Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT
... Numerical evaluations of the additivity deficit in the sinh-Gordon, roaming trajectories and reflectionless sine-Gordon model also confirm that it is nonzero. The evaluations yield another important insight: the ...
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Thermodynamic Bethe Ansatz for the AdS 5 x S^5 Mirror Model
... To obtain the finite L spectrum, one could try to generalize the Thermodynamic Bethe Ansatz approach (TBA) originally developed for relativistic integrable models [21]. To this end, one starts with ...
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Form factors of integrable Heisenberg (higher) spin chains
... the Bethe ansatz approach and the solution of the quantum inverse scattering problem for higher spins to obtain determinant formulae for the form factors of spin operators of general integrable Heisenberg ...
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The all-loop integrable spin-chain for strings on AdS3 × S 3 × T 4: The massive sector
... Secondly, we have seen that within our construction it is not possible to choose the grading used in [8] at the level of the all-loop Bethe equations. On the other hand the grading there was chosen ...
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