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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…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

数学物理 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

强关联电子 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

介观与纳米尺度物理 · 物理学 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…

强关联电子 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

强关联电子 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

超导电性 · 物理学 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…

高能物理 - 理论 · 物理学 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…

量子气体 · 物理学 2010-06-01 J. Sabio , S. Kehrein