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We study inhomogeneous quantum quenches in the attractive regime of the sine-Gordon model. In our protocol, the system is prepared in an inhomogeneous initial state in finite volume by coupling the topological charge density operator to a…

Strongly Correlated Electrons · Physics 2022-05-04 D. X. Horváth , M. Kormos , S. Sotiriadis , G. Takács

In this paper we derive Kl\"umper-Batchelor-Pearce-Destri-de Vega type nonlinear integral equations for describing the thermodynamics in the sine-Gordon model, when a chemical potential coupled to the topological charge is also present in…

High Energy Physics - Theory · Physics 2025-07-28 Arpad Hegedus

The sine-Gordon model appears as the low-energy effective field theory of various one-dimensional gapped quantum systems. Here we investigate the dynamics of generic, non-integrable systems belonging to the sine-Gordon family at finite…

Statistical Mechanics · Physics 2022-12-14 Márton Kormos , Dániel Vörös , Gergely Zaránd

We compute the boundary energy and the Casimir energy for both the spin-1/2 XXZ quantum spin chain and (by means of the light-cone lattice construction) the massive sine-Gordon model with both left and right boundaries. We also derive a…

High Energy Physics - Theory · Physics 2015-06-26 Changrim Ahn , Rafael I. Nepomechie

We study the properties of the double-frequency sine--Gordon model in the vicinity of the Ising quantum phase transition displayed by this model. Using a mapping onto a generalised lattice quantum Ashkin-Teller model, we obtain critical and…

Strongly Correlated Electrons · Physics 2009-10-31 M. Fabrizio , A. O. Gogolin , A. A. Nersesyan

In this paper we constructed integrable defects in complex sine-Gordon theory. Soliton and particle interactions with the defect are analysed. Defects are used to dress Dirichlet boundaries to create a wider class of integrable boundary…

High Energy Physics - Theory · Physics 2009-01-14 Peter Bowcock , James Umpleby

We study integrable lattice regularizations of the sine-Gordon model with the help of the separation of variables method of Sklyanin and the Baxter Q-operators. This leads us to the complete characterization of the spectrum (eigenvalues and…

High Energy Physics - Theory · Physics 2011-02-16 G. Niccoli , J. Teschner

The nonequilibrium dynamics of a quantum dot with electron-phonon interactions described by a generalized Holstein model is presented. A combination of methodologies including the reduced density matrix formalism, the multilayer…

Strongly Correlated Electrons · Physics 2015-06-18 Eli Y. Wilner , Haobin Wang , Michael Thoss , Eran Rabani

Driven by breakthroughs in experimental and theoretical techniques, the study of non-equilibrium quantum physics is a rapidly expanding field with many exciting new developments. Amongst the manifold ways the topic can be investigated, one…

Quantum Gases · Physics 2020-04-28 Colin Rylands , Natan Andrei

Initial-boundary value problems for complex sine-Gordon and sine-Gordon equations in a semi--strip are treated. The evolution of the Weyl function and a uniqueness result are obtained for complex sine-Gordon equation. The evolution of the…

Exactly Solvable and Integrable Systems · Physics 2013-01-30 Alexander Sakhnovich

We examine the spectrum and boundary energy in boundary sine-Gordon theory, based on our recent results on the complete spectrum predicted by closing the boundary bootstrap. We check the spectrum and the reflection factors against truncated…

High Energy Physics - Theory · Physics 2009-11-07 Z. Bajnok , L. Palla , G. Takacs

Requiring an infinite number of conserved local charges or the existence of an underlying linear system does not uniquely determine the Moyal deformation of 1+1 dimensional integrable field theories. As an example, the sine-Gordon model may…

High Energy Physics - Theory · Physics 2010-04-05 Olaf Lechtenfeld , Liuba Mazzanti , Silvia Penati , Alexander D. Popov , Laura Tamassia

We set up a hydrodynamic description of the non-equilibrium dynamics of sine-Gordon quantum field theory for generic coupling. It is built upon an explicit form of the Bethe Ansatz description of general thermodynamic states, with the…

Strongly Correlated Electrons · Physics 2024-06-05 B. C. Nagy , G. Takács , M. Kormos

We investigate a generalization of the massless boundary sine-Gordon model with conformal invariance, which has been used to describe an array of D-branes (or rolling tachyon). We consider a similar action whose couplings are replaced with…

High Energy Physics - Theory · Physics 2009-11-10 H. Kogetsu , S. Teraguchi

We construct an action for the N=2 supersymmetric sine-Gordon model on the half-line, which we argue is both supersymmetric and integrable. The boundary interaction depends on three continuous boundary parameters, as well as the bulk mass…

High Energy Physics - Theory · Physics 2009-11-07 Rafael I. Nepomechie

We study the non-equilibrium dynamics of one-dimensional Mott insulating bosons in the presence of a tunable effective electric field E which takes the system across a quantum critical point (QCP) separating a disordered and a translation…

Quantum Gases · Physics 2013-05-30 Michael Kolodrubetz , David Pekker , Bryan K. Clark , Krishnendu Sengupta

The investigation of boundary breather states of the sinh-Gordon model restricted to a half-line is revisited. Properties of the classical boundary breathers for the two-parameter family of integrable boundary conditions are reviewed and…

High Energy Physics - Theory · Physics 2008-11-26 E. Corrigan , A. Taormina

Non-equilibrium steady states (NESS) describe particularly simple and stationary non-equilibrium situations. A possibility to obtain such states is to consider the asymptotic evolution of two infinite heat baths brought into thermal…

Mathematical Physics · Physics 2018-06-05 Thomas-Paul Hack , Rainer Verch

The one loop quantum corrections to the classical reflection factor of the sinh-Gordon model are calculated partially for general boundary conditions. The model is studied under boundary conditions which are compatible with integrability,…

High Energy Physics - Theory · Physics 2016-12-28 A. Chenaghlou

We study a sudden interaction quench in the weak-coupling regime of the quantum sine-Gordon model. The real time dynamics of the bosonic mode occupation numbers is calculated using the flow equation method. While we cannot prove results for…

Quantum Gases · Physics 2010-06-01 J. Sabio , S. Kehrein