scholarly journals The folded spin-1/2 XXZ model: II. Thermodynamics and hydrodynamics with a minimal set of charges

2021 ◽  
Vol 10 (5) ◽  
Author(s):  
Lenart Zadnik ◽  
Kemal Bidzhiev ◽  
Maurizio Fagotti
Keyword(s):  
Bethe Ansatz ◽  
Thermodynamic Limit ◽  
Scaling Limit ◽  
Local Observable ◽  
Leading Order ◽  
Minimal Set ◽  
Xxz Model ◽  
Thermodynamic Bethe Ansatz

We study the (dual) folded spin-1/2 XXZ model in the thermodynamic limit. We focus, in particular, on a class of ``local'' macrostates that includes Gibbs ensembles. We develop a thermodynamic Bethe Ansatz description and work out generalised hydrodynamics at the leading order. Remarkably, in the ballistic scaling limit the junction of two local macrostates results in a discontinuity in the profile of essentially any local observable.

scholarly journals Thermodynamic Bethe ansatz for the spin-1/2 staggered XXZ-model

2003 ◽  
Vol 673 (3) ◽  
pp. 455-475 ◽  
Author(s):  
V.V. Mkhitaryan ◽  
A.G. Sedrakyan
Keyword(s):  
Bethe Ansatz ◽  
Xxz Model ◽  
Thermodynamic Bethe Ansatz

scholarly journals The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties

2021 ◽  
Vol 4 (2) ◽  
Author(s):  
Lenart Zadnik ◽  
Maurizio Fagotti
Keyword(s):  
Time Evolution ◽  
Bethe Ansatz ◽  
Ground State ◽  
Integrable Model ◽  
Translational Symmetry ◽  
Effective Hamiltonian ◽  
Leading Order ◽  
Xxz Model ◽  
Ground State Properties ◽  
Intermediate Time

We study an effective Hamiltonian generating time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. To leading order, it describes an integrable model with local interactions. We solve it completely by means of a coordinate Bethe Ansatz that manifestly breaks the translational symmetry. We demonstrate the existence of exponentially many jammed states and estimate their stability under the leading correction to the effective Hamiltonian. Some ground state properties of the model are discussed.

scholarly journals Quantum periods and TBA-like equations for a class of Calabi-Yau geometries

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Bao-ning Du ◽  
Min-xin Huang
Keyword(s):  
Large Class ◽  
Bethe Ansatz ◽  
Difference Equations ◽  
The Other ◽  
Elementary Functions ◽  
Quantum Dilogarithm ◽  
Thermodynamic Bethe Ansatz ◽  
Dilogarithm Function ◽  
Quantum Operators

Abstract We continue the study of a novel relation between quantum periods and TBA(Thermodynamic Bethe Ansatz)-like difference equations, generalize previous works to a large class of Calabi-Yau geometries described by three-term quantum operators. We give two methods to derive the TBA-like equations. One method uses only elementary functions while the other method uses Faddeev’s quantum dilogarithm function. The two approaches provide different realizations of TBA-like equations which are nevertheless related to the same quantum period.

Thermodynamic Bethe Ansatz

2020 ◽  
pp. 791-835
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Ising Model ◽  
Bethe Ansatz ◽  
Free Field ◽  
Integrable Model ◽  
Finite Size ◽  
Casimir Energy ◽  
Thermodynamic Bethe Ansatz ◽  
Channel Quantization ◽  
Bulk Energy ◽  
Energy And Momentum

The Thermodynamic Bethe Ansatz (TBA) allows us to study finite size and finite temperature effects of an integrable model. This chapter investigates the integral equations that determine the free energy and gives their physical interpretation. It discusses Casimir energy, Bethe relativistic wave function, the derivation of thermodynamics, the meaning of pseudo-energy (dressed energy and momentum), infrared and ultraviolet limits, the coefficient of bulk energy, the general form of the TBA equations, the thermodynamics of the free field theories, L-channel quantization and the LeClair–Mussardo formula. It also covers the application of the Yang–Lee S-matrix, the magnetic field Ising model, and the tricritical Ising model.

scholarly journals Thermodynamic Bethe Ansatz for Biscalar Conformal Field Theories in any Dimension

2020 ◽  
Vol 125 (9) ◽  
Author(s):  
Benjamin Basso ◽  
Gwenaël Ferrando ◽  
Vladimir Kazakov ◽  
De-liang Zhong
Keyword(s):  
Bethe Ansatz ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Thermodynamic Bethe Ansatz ◽  
Conformal Field
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