SciPost: Topic details

Bethe Ansatz

Relations to other Topics

asymmetric:

String hypothesis (Bethe Ansatz) is used in Bethe Ansatz
Thermodynamic Bethe Ansatz (TBA) is a specialization of Bethe Ansatz
Nested Bethe Ansatz is a specialization of Bethe Ansatz

symmetric:

No symmetric relations have been defined

Publications

Exact solution for two $\delta$-interacting bosons on a ring in the presence of a $\delta$-barrier: Asymmetric Bethe Ansatz for spatially odd states
by Maxim Olshanii, Mathias Albert, Gianni Aupetit-Diallo, Patrizia Vignolo, Steven G. Jackson,
SciPost Phys. Core 8, 083 (2025)
Lifted TASEP: Long-time dynamics, generalizations, and continuum limit
by Fabian H. L. Essler, Jeanne Gipouloux, Werner Krauth,
SciPost Phys. Core 8, 063 (2025)
Modular properties of generalised Gibbs ensembles
by Max Downing, Faisal Karimi,
SciPost Phys. 18, 085 (2025)
Boundary overlap in the open XXZ spin chain
by Charbel Abetian, Nikolai Kitanine, Veronique Terras,
SciPost Phys. 18, 026 (2025)
Refined cyclic renormalization group in Russian doll model
by Vedant Motamarri, Ivan M. Khaymovich, Alexander Gorsky,
SciPost Phys. 17, 157 (2024)
A range three elliptic deformation of the Hubbard model
by Marius de Leeuw, Chiara Paletta, Balázs Pozsgay,
SciPost Phys. 15, 071 (2023)
Introduction to the nested algebraic Bethe ansatz
by N. A. Slavnov,
SciPost Phys. Lect. Notes 19 (2020)
Zero temperature momentum distribution of an impurity in a polaron state of one-dimensional Fermi and Tonks-Girardeau gases
by Oleksandr Gamayun, Oleg Lychkovskiy, Mikhail B. Zvonarev,
SciPost Phys. 8, 053 (2020)
Yang-Baxter integrable Lindblad equations
by Aleksandra A. Ziolkowska, Fabian H.L. Essler,
SciPost Phys. 8, 044 (2020)
Replica Bethe Ansatz solution to the Kardar-Parisi-Zhang equation on the half-line
by Alexandre Krajenbrink, Pierre Le Doussal,
SciPost Phys. 8, 035 (2020)
Generalized Gibbs Ensemble and string-charge relations in nested Bethe Ansatz
by György Z. Fehér, Balázs Pozsgay,
SciPost Phys. 8, 034 (2020)
The equilibrium landscape of the Heisenberg spin chain
by Enej Ilievski, Eoin Quinn,
SciPost Phys. 7, 033 (2019)
Two-species hardcore reversible cellular automaton: matrix ansatz for dynamics and nonequilibrium stationary state
by Marko Medenjak, Vladislav Popkov, Tomaž Prosen, Eric Ragoucy, Matthieu Vanicat,
SciPost Phys. 6, 074 (2019)
The propagator of the finite XXZ spin-$\tfrac{1}{2}$ chain
by Gyorgy Z. Fehér, Balázs Pozsgay,
SciPost Phys. 6, 063 (2019)
The spin Drude weight of the XXZ chain and generalized hydrodynamics
by Andrew Urichuk, Yahya Oez, Andreas Klümper, Jesko Sirker,
SciPost Phys. 6, 005 (2019)
The Inhomogeneous Gaussian Free Field, with application to ground state correlations of trapped 1d Bose gases
by Yannis Brun, Jérôme Dubail,
SciPost Phys. 4, 037 (2018)
Ground state solutions of inhomogeneous Bethe equations
by S. Belliard, A. Faribault,
SciPost Phys. 4, 030 (2018)
Entanglement dynamics after quantum quenches in generic integrable systems
by Vincenzo Alba, Pasquale Calabrese,
SciPost Phys. 4, 017 (2018)
Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
by Jan C. Zill, Tod M. Wright, Karen V. Kheruntsyan, Thomas Gasenzer, Matthew J. Davis,
SciPost Phys. 4, 011 (2018)
Scalar products and norm of Bethe vectors for integrable models based on $U_q(\widehat{\mathfrak{gl}}_{n})$
by A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov,
SciPost Phys. 4, 006 (2018)
Inner products in integrable Richardson-Gaudin models
by Pieter W. Claeys, Dimitri Van Neck, Stijn De Baerdemacker,
SciPost Phys. 3, 028 (2017)
Mobile impurities in integrable models
by Andrew S. Campbell, Dimitri M. Gangardt,
SciPost Phys. 3, 015 (2017)
Common framework and quadratic Bethe equations for rational Gaudin magnets in arbitrarily oriented magnetic fields
by Alexandre Faribault, Hugo Tschirhart,
SciPost Phys. 3, 009 (2017)
Completeness of the Bethe states for the rational, spin-1/2 Richardson-Gaudin system
by Jon Links,
SciPost Phys. 3, 007 (2017)
Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
by Guillaume Lang, Frank Hekking, Anna Minguzzi,
SciPost Phys. 3, 003 (2017)
Elaborating the phase diagram of spin-1 anyonic chains
by Eric Vernier, Jesper Lykke Jacobsen, Hubert Saleur,
SciPost Phys. 2, 004 (2017)
Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
by R. Vlijm, I. S. Eliëns, J. -S. Caux,
SciPost Phys. 1, 008 (2016)

Submissions (unpublished only)

Fusion approach for quantum integrable system associated with the gl(1|1) Lie superalgebra
by Xiaotian Xu, Wuxiao Wen, Tao Yang, Xin Zhang, Junpeng Cao
(submitted 2025-10-16 to SciPost Physics)
Multispecies totally asymmetric simple exclusion process with long-range swap
by Eunghyun Lee
(submitted 2025-09-01 to SciPost Physics)
Properties of the temporal transfer matrix in integrable Floquet circuits
by Ilya Vilkoviskiy, Kirill Matirko
(submitted 2025-08-21 to SciPost Physics)
2D CFT and efficient Bethe ansatz for exactly solvable Richardson-Gaudin models
by Grzegorz Biskowski, Franco Ferrari, Marcin Radosław Piątek
(submitted 2025-08-04 to SciPost Physics)
Duality symmetry, zero energy modes and boundary spectrum of the sine-Gordon/massive Thirring model
by Parameshwar R. Pasnoori, Ari Mizel, Patrick Azaria
(submitted 2025-06-17 to SciPost Physics)
Exact generalized Bethe eigenstates of the non-integrable alternating Heisenberg chain
by Ronald Melendrez, Bhaskar Mukherjee, Marcin Szyniszewski, Christopher J. Turner, Arijeet Pal, Hitesh J. Changlani
(submitted 2025-03-12 to SciPost Physics)

Top experts

Bethe Ansatz

Relations to other Topics

asymmetric:

symmetric: