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We present a general framework and procedure to derive uncertainty relations for observables of quantum systems in a covariant manner. All such relations are consequences of the positive semidefiniteness of the density matrix of a general…

Quantum Physics · Physics 2012-05-24 J Solomon Ivan , Krishna Kumar Sabapathy , N. Mukunda , R. Simon

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…

Quantum Physics · Physics 2021-06-03 Ananda Roy , Dirk Schuricht , Johannes Hauschild , Frank Pollmann , Hubert Saleur

In the framework of quantum information geometry we investigate the relationship between monotone metric tensors uniquely defined on the space of quantum tomograms, once the tomographic scheme chosen, and monotone quantum metrics on the…

Mathematical Physics · Physics 2017-12-01 Marco Laudato , Giuseppe Marmo , Fabio M. Mele , Franco Ventriglia , Patrizia Vitale

We study on-shell and off-shell properties of the supersymmetric sinh-Gordon and perturbed SUSY Yang-Lee models using the thermodynamic Bethe ansatz and form factors. Identifying the supersymmetric models with the Eight Vertex Free Fermion…

High Energy Physics - Theory · Physics 2009-10-22 Changrim Ahn

Using the results of previous investigations on sine-Gordon form factors exact expressions of all breather matrix elements are obtained for several operators: all powers of the fundamental bose field, general exponentials of it, the energy…

High Energy Physics - Theory · Physics 2008-11-26 H. Babujian , M. Karowski

We propose an unconventional topological quantum phase transition connecting a higher-order topological insulator (HOTI) and a featureless Mott insulator sharing the same symmetry patterns. We construct an effective theory description of…

Strongly Correlated Electrons · Physics 2021-01-13 Yizhi You , Julian Bibo , Taylor L. Hughes , Frank Pollmann

Many two-dimensional conformal field theories have an alternative integrable scattering description, which reproduces their spectrum of conformal weights. Taking as an example the case of the Lee-Yang nonunitary CFT and the 3-state Potts…

High Energy Physics - Theory · Physics 2022-12-14 Zoltan Bajnok , Romuald A. Janik

Using the methods of the "form factor program" exact expressions of all matrix elements are obtained for several operators of the quantum sine Gordon model: all powers of the fundamental bose field, general exponentials of it, the energy…

High Energy Physics - Theory · Physics 2009-10-31 H. Babujian , M. Karowski

An important window to quantum gravity phenomena in low energy noncommutative (NC) quantum field theories (QFTs) gets represented by a specific form of UV/IR mixing. Yet another important window to quantum gravity, a holography, manifests…

High Energy Physics - Phenomenology · Physics 2011-01-28 Raul Horvat , Josip Trampetic

Applications of the integrable system techniques to the non-equilibrium transport problems are discussed. We describe one-dimensional electrons tunneling through a point-like defect either by the s-d exchange (Kondo) mechanism, or via the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sergei Skorik

The development of numerical methods capable of simulating realistic materials with strongly correlated electrons, with controllable errors, is a central challenge in quantum many-body physics. Here we describe how a hybrid between…

Strongly Correlated Electrons · Physics 2015-04-23 Alexei A. Kananenka , Emanuel Gull , Dominika Zgid

The structure of a new family of factorised $S$-matrix theories with resonance poles is reviewed. They are conjectured to correspond to the Homogeneous sine-Gordon theories associated with simply laced compact Lie groups. Two of their more…

High Energy Physics - Theory · Physics 2007-05-23 J. L. Miramontes

We extend form-factor perturbation theory to non--integrable deformations of massless integrable models, in order to address the problem of mass generation in such systems. With respect to the standard renormalisation group analysis this…

High Energy Physics - Theory · Physics 2009-11-11 D. Controzzi , G. Mussardo

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…

High Energy Physics - Theory · Physics 2021-06-09 Olalla A. Castro-Alvaredo , David X. Horvath

Strongly correlated electron systems are generally described by tight binding lattice Hamiltonians with strong local (on site) interactions, the most popular being the Hubbard model. Although the half filled Hubbard model can be simulated…

Strongly Correlated Electrons · Physics 2020-02-26 Zhenhao Fan , Zhipeng Sun , Dingping Li , Itzhak Berenstein , Guy Leshem , Baruch Rosenstein

By using a variant of the quantum inverse scattering method, commutation relations between all elements of the quantum monodromy matrix of bosonic Massive Thirring (BMT) model are obtained. Using those relations, the quantum integrability…

High Energy Physics - Theory · Physics 2009-11-10 Tanaya Bhattacharyya

The physical mass scales that determine the behaviour of general (simply-laced) Homogeneous Sine-Gordon models are investigated by means of a study of their finite-size effects, using the thermodynamic Bethe ansatz. These models describe…

High Energy Physics - Theory · Physics 2007-05-23 Patrick Dorey , J. Luis Miramontes

A model is introduced for two reduced BCS systems which are coupled through the transfer of Cooper pairs between the systems. The model may thus be used in the analysis of the Josephson effect arising from pair tunneling between two…

Superconductivity · Physics 2009-11-07 J. Links , H. -Q. Zhou , R. H. McKenzie , M. D. Gould

We provide general determinant formulae for all n-particle form factors related to the trace of the energy momentum tensor and the analogue of the order and disorder operator in the $SU(3)_2$-homogeneous Sine-Gordon model. We employ the…

High Energy Physics - Theory · Physics 2009-10-31 O. A. Castro-Alvaredo , A. Fring , C. Korff

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