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The sine-Gordon field theory emerges as the low-energy description in a wealth of quantum many-body systems. Recent efforts have been directed towards realizing quantum simulators of the model, by interfering two weakly coupled…

Strongly Correlated Electrons · Physics 2022-08-17 Elisabeth Wybo , Michael Knap , Alvise Bastianello

We consider magnetic friction between two systems of $q$-state Potts spins which are moving along their boundaries with a relative constant velocity $v$. Due to the interaction between the surface spins there is a permanent energy flow and…

Statistical Mechanics · Physics 2011-04-15 Ferenc Igloi , Michel Pleimling , Loic Turban

We investigate boundary bound states of sine-Gordon model on the finite-size strip with Dirichlet boundary conditions. For the purpose we derive the nonlinear integral equation (NLIE) for the boundary excited states from the Bethe ansatz…

High Energy Physics - Theory · Physics 2008-11-26 Changrim Ahn , Zoltan Bajnok , Laszlo Palla , Francesco Ravanini

We derive a self-consistent time-dependent harmonic approximation for the quantum sine-Gordon model out of equilibrium and apply the method to the dynamics of tunnel-coupled one-dimensional Bose gases. We determine the time evolution of…

Quantum Gases · Physics 2019-08-26 Yuri D. van Nieuwkerk , Fabian H. L. Essler

We present an investigation of the boundary breather states of the sinh-Gordon model restricted to a half-line. The classical boundary breathers are presented for a two parameter family of integrable boundary conditions. Restricting to the…

High Energy Physics - Theory · Physics 2008-11-26 E. Corrigan , G. W. Delius

In this paper we continue the program, initiated in Ref. hep-th/0112246, to investigate an integrable noncommutative version of the sine-Gordon model. We discuss the origin of the extra constraint which the field function has to satisfy in…

High Energy Physics - Theory · Physics 2009-11-10 Marcus T. Grisaru , Liuba Mazzanti , Silvia Penati , Laura Tamassia

We present a complete study of boundary bound states and related boundary S-matrices for the sine-Gordon model with Dirichlet boundary conditions. Our approach is based partly on the bootstrap procedure, and partly on the explicit solution…

High Energy Physics - Theory · Physics 2016-09-06 S. Skorik , H. Saleur

In this report we compute the boundary states (including the boundary entropy) for the boundary sine-Gordon theory. From the boundary states, we derive both correlation and partition functions. Through the partition function, we show that…

High Energy Physics - Theory · Physics 2007-05-23 Robert M. Konik

We present an integrable Hamiltonian which describes the sinh-Gordon model on the half line coupled to a non-linear oscillator at the boundary. We explain how we apply Sklyanin's formalism to a dynamical reflection matrix to obtain this…

High Energy Physics - Theory · Physics 2008-11-26 P. Baseilhac , G. W. Delius

For thermal equilibrium systems it is shown, how the Kubo-Martin-Schwinger boundary condition may be used to factorize the generating functional of Green functions at least on the level of the full two-point function. Genuine…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. A. Henning , R. Fauser

We argue that, contrary to previous claims, the supersymmetric sine-Gordon model with boundary has a two-parameter family of boundary interactions which preserves both integrability and supersymmetry. We also propose the corresponding…

High Energy Physics - Theory · Physics 2014-11-18 Rafael I. Nepomechie

We study the finite-temperature expectation values of exponential fields in the sine-Gordon model. Using finite-volume regularization, we give a low-temperature expansion of such quantities in terms of the connected diagonal matrix…

Strongly Correlated Electrons · Physics 2015-06-18 Francesco Buccheri , Gabor Takacs

We analyze a perturbation of the boundary Sine-Gordon model where two boundary terms of different periodicities and scaling dimensions are coupled to a Kondo-like spin degree of freedom. We show that, by pertinently engineering the coupling…

Superconductivity · Physics 2015-05-18 Domenico Giuliano , Pasquale Sodano

A quantum group analysis is applied to the Sine-Gordon model (or may be its version) in a strong-coupling regime. Infinitely many bound states are found together with the corresponding S-matrices. These new solutions of the Yang-Baxter…

High Energy Physics - Theory · Physics 2007-05-23 Sergei V. Pokrovsky

We investigate various excited states of Sine-Gordon model on a strip with Dirichlet boundary conditions on both boundaries using a Non Linear Integral Equation (NLIE) approach.

High Energy Physics - Theory · Physics 2009-11-10 Changrim Ahn , Marco Bellacosa , Francesco Ravanini

The sine-Gordon model in the presence of dynamical integrable defects is investigated. This is an application of the algebraic formulation introduced for integrable defects in earlier works. The quantities in involution as well as the…

High Energy Physics - Theory · Physics 2013-02-13 Jean Avan , Anastasia Doikou

We study the dynamics of the sine-Gordon model after a quantum quench into the attractive regime, where the spectrum consists of solitons, antisolitons and breathers. In particular, we analyse the time-dependent expectation value of the…

Statistical Mechanics · Physics 2017-10-27 Axel Cortés Cubero , Dirk Schuricht

Theory of non-equilibrium Green's function (NGF) provides a practical framework for studying quantum many-body systems out of equilibrium. Extending the previous mean field approach developed for nuclear systems in one dimension with NGF,…

Nuclear Theory · Physics 2020-08-26 Hao Lin , Hossein Mahzoon , Arnau Rios , Pawel Danielewicz

We show that the the generalized Calogero-Moser model with boundary potential of the P\"oschl-Teller type describes the non-relativistic limit of the quantum sine-Gordon model on a half-line with Dirichlet boundary condition.

High Energy Physics - Theory · Physics 2009-10-28 A. Kapustin , S. Skorik

The sine-Gordon model captures the low-energy effective dynamics of a wealth of one-dimensional quantum systems, stimulating the experimental efforts in building a versatile quantum simulator of this field theory and fueling the parallel…

Statistical Mechanics · Physics 2024-01-12 Alvise Bastianello