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Quantum impurities are ubiquitous in condensed matter physics and constitute the most stripped-down realization of many-body problems. While measuring their finite-frequency response could give access to key characteristics such as…

Transport properties of single- and two-site mesoscopic quantum Hall (QH) circuits at high transparencies can be described in terms of the lowest-order backscattering processes, enabling a mapping to the boundary sine-Gordon model. We show…

介观与纳米尺度物理 · 物理学 2026-04-10 D. B. Karki

We study in this paper the ground state energy of a free bosonic theory on a finite interval of length $R$ with either a pair of sine-Gordon type or a pair of Kondo type interactions at each boundary. This problem has potential applications…

统计力学 · 物理学 2015-06-24 J. -S. Caux , H. Saleur , F. Siano

We investigate the free-Fermion point of a boundary sine-Gordon model with nondiagonal boundary interactions for the ground state using auxiliary functions, obtained from T-Q equations of a corresponding inhomogeneous open spin-1/2 XXZ…

高能物理 - 理论 · 物理学 2018-03-14 Rajan Murgan

We study the Sine-Gordon model with Minkowski signature in the framework of perturbative algebraic quantum field theory. We calculate the vertex operator algebra braiding property. We prove that in the finite regime of the model, the…

数学物理 · 物理学 2017-09-13 Dorothea Bahns , Kasia Rejzner

Boundary operators and boundary ground states in sine-Gordon model with a fixed boundary condition are studied using bosonization and q-deformed oscillators.We also obtain the form-factors of this model.

高能物理 - 理论 · 物理学 2015-06-26 Bo-yu Hou , Kang-jie Shi , Yan-shen Wang , Wen-li Yang

Analog quantum simulation has the potential to be an indispensable technique in the investigation of complex quantum systems. In this work, we numerically investigate a one-dimensional, faithful, analog, quantum electronic circuit simulator…

量子物理 · 物理学 2021-06-03 Ananda Roy , Dirk Schuricht , Johannes Hauschild , Frank Pollmann , Hubert Saleur

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…

高能物理 - 理论 · 物理学 2007-05-23 Sergei V. Pokrovsky

Classical sine-Gordon theory on a strip with integrable boundary conditions is considered analyzing the static (ground state) solutions, their existence, energy and stability under small perturbations. The classical analogue of Bethe-Yang…

高能物理 - 理论 · 物理学 2009-11-10 Z. Bajnok , L. Palla , G. Takacs

We review our recent results on the on-shell description of sine-Gordon model with integrable boundary conditions. We determined the spectrum of boundary states by closing the boundary bootstrap and gave a derivation of Al.B.…

高能物理 - 理论 · 物理学 2015-07-29 Z. Bajnok , L. Palla , G. Takacs

We explore the correspondence between geometric function theory (GFT) and quantum field theory (QFT). The crossing symmetric dispersion relation provides the necessary tool to examine the connection between GFT, QFT, and effective field…

高能物理 - 理论 · 物理学 2022-10-07 Prashanth Raman , Aninda Sinha

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…

强关联电子 · 物理学 2022-08-17 Elisabeth Wybo , Michael Knap , Alvise Bastianello

We study the sine-Gordon quantum field theory at finite temperature by generalizing the method of random surfaces to compute the free energy and one-point functions of exponential operators non-perturbatively. Focusing on the gapped phase…

统计力学 · 物理学 2025-06-11 M. Tóth , J. H. Pixley , D. Szász-Schagrin , G. Takács , M. Kormos

We show how to compute form factors, matrix elements of local fields, in the restricted sine-Gordon model, at the reflectionless points, by quantizing solitons. We introduce (quantum) separated variables in which the Hamiltonians are…

高能物理 - 理论 · 物理学 2008-11-26 O. Babelon , D. Bernard , F. A. Smirnov

An implicit Euler finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors is analyzed. The model consists of strongly coupled parabolic equations for the electron density matrix or, alternatively, of weakly…

数值分析 · 数学 2015-02-20 Claire Chainais-Hillairet , Ansgar Jüngel , Polina Shpartko

We consider simple CFT models which contain massless bosons, or massless fermions or a supersymmetric combination of the two, on the strip. We study the deformations of these models by relevant boundary operators. In particular, we work out…

高能物理 - 理论 · 物理学 2009-10-31 Tasneem Zehra Husain , Maxim Zabzine

The sine-Gordon model on the half-line with a dynamical boundary introduced by Delius and one of the authors is considered at quantum level. Classical boundary conditions associated with classical integrability are shown to be preserved at…

高能物理 - 理论 · 物理学 2014-11-18 P. Baseilhac , K. Koizumi

The edge state theory of a class of symmetric double-layer quantum Hall systems with interlayer electron tunneling reduces to the sum of a free field theory and a field theory of a chiral Bose field with a self-interaction of the…

强关联电子 · 物理学 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

We use quantum sine-Gordon model to describe the low energy dynamics of a pair of coupled one-dimensional condensates of interacting atoms. We show that the nontrivial excitation spectrum of the quantum sine-Gordon model, which includes…

其他凝聚态物理 · 物理学 2007-05-23 Vladimir Gritsev , Anatoli Polkovnikov , Eugene Demler

The quantum sine-Gordon model is the simplest massive interacting integrable quantum field theory whose two-particle scattering matrix is generally non-diagonal. As such, it is a model that has been extensively studied, especially in the…

高能物理 - 理论 · 物理学 2021-06-09 Olalla A. Castro-Alvaredo , David X. Horvath