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In this work, we put forward the theoretical foundation toward thermodynamics of quantum impurity systems measurable in experiments. The theoretical developments involve the identifications on two types of thermodynamic entanglement…

Quantum Physics · Physics 2021-06-24 Hong Gong , Yao Wang , Hou-Dao Zhang , Rui-Xue Xu , Xiao Zheng , YiJing Yan

We will present a method for building a consistent AQFT on Schwarzschild spacetime for a thermal system ruled by an interacting and massive scalar field, extending the methods and the results of K. Fredenhagen and F. Lindner valid for the…

Mathematical Physics · Physics 2016-01-22 Samuel Rutili

Global conformal invariance (GCI) of quantum field theory (QFT) in two and higher space-time dimensions implies the Huygens' principle, and hence, rationality of correlation functions of observable fields (see Commun. Math. Phys. 218 (2001)…

High Energy Physics - Theory · Physics 2009-11-10 Nikolay M. Nikolov , Ivan T. Todorov

The density-functional (DF) theory provides a simple method for calculating the properties of an interacting system under an external potential by associating it with a corresponding non-interacting system. Here, we find some relations in…

Chemical Physics · Physics 2009-11-10 Junzo Chihara , Mitsuru Yamagiwa

A conjecture is presented for the thermal one-point function of boundary operators in integrable boundary quantum field theories in terms of form factors. It is expected to have applications in studying boundary critical phenomena and…

High Energy Physics - Theory · Physics 2008-11-26 G. Takacs

Over the years, several schemes have been proposed to describe multireference systems with Kohn-Sham Density Functional Theory. Problematic is the combination of two aspects: the Kohn-Sham reference wavefunction is usually taken to be a…

Strongly Correlated Electrons · Physics 2019-08-01 Pablo Ramos , Michele Pavanello

We present a new approach to the static finite temperature correlation functions of the Heisenberg chain based on functional equations. An inhomogeneous generalization of the n-site density operator is considered. The lattice path integral…

Statistical Mechanics · Physics 2012-08-09 Britta Aufgebauer , Andreas Klümper

We analyse the transverse dynamical two-point correlation function of the XX chain by means of a thermal form factor series. The series is rewritten in terms of the resolvent and the Fredholm determinant of an integrable integral operator.…

Mathematical Physics · Physics 2020-02-25 Frank Göhmann , Karol K. Kozlowski , Junji Suzuki

The quantum nonrelativistic two-component Bose and Fermi gases with the infinitely strong point-like coupling between particles in one space dimension are considered. Time and temperature dependent correlation functions are represented in…

solv-int · Physics 2009-10-31 A. G. Izergin , A. G. Pronko

A general model independent approach using the `off-shell Bethe Ansatz' is presented to obtain an integral representation of generalized form factors. The general techniques are applied to the quantum sine-Gordon model alias the massive…

High Energy Physics - Theory · Physics 2009-11-07 H. Babujian , M. Karowski

This paper introduces a theory of Thermodynamic Formalism for Iterated Function Systems with Measures (IFSm). We study the spectral properties of the Transfer and Markov operators associated to a IFSm. We introduce variational formulations…

Dynamical Systems · Mathematics 2022-11-10 Jader E. Brasil , Elismar R. Oliveira , Rafael Rigão Souza

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 calculate, using holographic duality, the thermal two-point function in finite temperature little string theory. The analysis of those correlators reveals possible instabilities of the thermal ensemble, as in previous discussions of the…

High Energy Physics - Theory · Physics 2009-11-10 Philip A. DeBoer , Moshe Rozali

We provide a new formulation of Time-Dependent Density Functional Theory (TDDFT) based on the geometric structure of the set of states constrained to have a fixed density. Orbital-free TDDFT is formulated using a hydrodynamics equation…

Wave-function methods have offered a robust, systematically improvable means to study ground-state properties in quantum many-body systems. Theories like coupled cluster and their derivatives provide highly accurate approximations to the…

Strongly Correlated Electrons · Physics 2023-05-10 Gaurav Harsha , Thomas M. Henderson , Gustavo E. Scuseria

The one and two-particle form factors of the energy operator in the two-dimensional Ising model in a magnetic field at $T=T_c$ are exactly computed within the form factor bootstrap approach. Together with the matrix elements of the…

High Energy Physics - Theory · Physics 2009-10-30 G. Delfino , P. Simonetti

Nonequilibrium quantum dynamics can give rise to the emergence of novel steady states. We propose a scheme for driving an initially uncorrelated thermal state to generate customized correlation functions by determining and reverse…

Strongly Correlated Electrons · Physics 2022-09-22 Armin Rahmani

We develop a microscopic theory of dynamic structure factor to describe the Bogoliubov-Anderson-Goldstone phonon mode and its damping rate in a strongly interacting Fermi gas at finite temperature. It is based on a density functional…

Quantum Gases · Physics 2018-07-25 Peng Zou , Hui Hu , Xia-Ji Liu

We developed the functional form of the two-point correlation function under the approximation of fixed particle number density n(bar). We solved the quasi-linear partial differential equation (PDE) through the method of characteristics to…

Astrophysics of Galaxies · Physics 2022-07-01 Durakhshan Ashraf Qadri , Abdul W. Khanday , Prince A. Ganai

We use the functional renormalization group (FRG) to derive analytical expressions for thermodynamic observables (density, pressure, entropy, and compressibility) as well as for single-particle properties (wavefunction renormalization and…

Quantum Gases · Physics 2017-01-19 Jan Krieg , Dominik Strassel , Simon Streib , Sebastian Eggert , Peter Kopietz