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We explore systems with a large number of fermionic degrees of freedom subject to non-local interactions. We study both vector and matrix-like models with quartic interactions. The exact thermal partition function is expressed in terms of…

High Energy Physics - Theory · Physics 2017-04-26 Dionysios Anninos , Guillermo A. Silva

We obtain exact results on interaction quenches in the 1D Bose gas described by the integrable Lieb-Liniger model. We show that in the long time limit integrability leads to significant deviations from the predictions of the grand canonical…

Statistical Mechanics · Physics 2012-04-18 Marton Kormos , Aditya Shashi , Yang-Zhi Chou , Adilet Imambekov

Introducing the fermionic R-operator and solutions of the inverse scattering problem for local fermion operators, we derive a multiple integral representation for zero-temperature correlation functions of a one-dimensional interacting…

Statistical Mechanics · Physics 2011-11-10 Kohei Motegi , Kazumitsu Sakai

A method to calculate exact Green's functions on lattices in various dimensions is presented. Expressions in terms of generalized hypergeometric functions in one or more variables are obtained for various examples by relating the resolvent…

Mathematical Physics · Physics 2014-09-30 Koushik Ray

We present a simple derivation of the Hellmann-Feynman theorem at finite temperature. We illustrate its validity by considering three relevant examples which can be used in quantum mechanics lectures: the one-dimensional harmonic…

Quantum Physics · Physics 2020-06-24 Marina Pons , Bruno Juliá-Díaz , Arnau Rios , Isaac Vidaña , Artur Polls

The effective action is computed for the \lphi--theory at finite temperature for small perturbations about a constant background field, using a generalized tadpole method. We find the complete effective action, including the real and…

High Energy Physics - Phenomenology · Physics 2009-10-22 Per Elmfors , Kari Enqvist , Iiro Vilja

We present a modified finite temperature Lanczos method for the evaluation of dynamical and static quantities of strongly correlated electron systems that complements the finite temperature method (FTLM) introduced by Jaklic and Prelovsek…

Strongly Correlated Electrons · Physics 2007-05-23 Markus Aichhorn , Maria Daghofer , Hans Gerd Evertz , Wolfgang von der Linden

Previous work in the literature has studied gravitational radiation in black-hole collisions at the speed of light. In particular, it had been proved that the perturbative field equations may all be reduced to equations in only two…

General Relativity and Quantum Cosmology · Physics 2018-10-18 Giampiero Esposito

In this work we provide a numerical method to obtain the Bloch-Nordsieck spectral function at finite temperature in the framework of the 2PI approximation. We find that the 2PI results nicely agree with the exact one, provided we perform a…

High Energy Physics - Theory · Physics 2015-04-21 A. Jakovac , P. Mati

The dynamics of the Luttinger model after a quantum quench is studied. We compute in detail one and two-point correlation functions for two types of quenches: from a non-interacting to an interacting Luttinger model and vice-versa. In the…

Quantum Gases · Physics 2010-03-29 A. Iucci , M. A. Cazalilla

We propose a new procedure by using the recursive Green's functions which remove all the repetition terms from the time-independent perturbation series for finite-level quantum systems. These Green's functions are introduced as a…

Quantum Physics · Physics 2019-04-02 K. Ishida

A 'forward walking' Green's Function Monte Carlo algorithm is used to obtain expectation values for SU(3) lattice Yang-Mills theory in (3+1) dimensions. The ground state energy and Wilson loops are calculated, and the finite-size scaling…

High Energy Physics - Lattice · Physics 2017-08-23 C. J. Hamer , M. Samaras , R. J. Bursill

I review the application of self-consistent Green's functions methods to study the properties of infinite nuclear systems. Improvements over the last decade, including the consistent treatment of three-nucleon forces and the development of…

Nuclear Theory · Physics 2020-06-19 A. Rios

A new technique is explored for the Monte Carlo sampling of complex-valued distributions. The method is based on a heat bath approach where the conditional probability is replaced by a positive representation of it on the complex plane.…

High Energy Physics - Lattice · Physics 2016-10-19 L. L. Salcedo

We derive a novel multiple integral representation for a generating function of the $\s^z$-$\s^z$ correlation functions of the spin-$\2$ XXZ chain at finite temperature and finite, longitudinal magnetic field. Our work combines algebraic…

High Energy Physics - Theory · Physics 2009-11-10 F. Göhmann , A. Klümper , A. Seel

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 give details on how to calculate spectral functions and Green's functions for finite systems using the Chebyshev polynomial expansion method. We apply the method to a finite Anderson impurity system, and furthermore give details on how…

Strongly Correlated Electrons · Physics 2015-11-04 M. Hyrkäs , D. Karlsson , R. van Leeuwen

We study the nonequilibrium properties of the one dimensional Lieb Liniger model in the finite repulsion regime. Introducing a new version of the Yudson representation applicable to finite size systems and appropriately taking the infinite…

Quantum Gases · Physics 2014-05-19 Garry Goldstein , Natan Andrei

Motivated by experiments of interacting quantum gases across high partial wave resonance, we investigated the thermodynamic properties as well as single particle spectrums of Bose gases in normal phase for different interaction strengths…

Quantum Gases · Physics 2025-09-10 Zeqing Wang , Ran Qi

We address the calculation of dynamical correlation functions for many fermion systems at zero temperature, using the auxiliary-field quantum Monte Carlo method. The two-dimensional Hubbard hamiltonian is used as a model system. Although…

Strongly Correlated Electrons · Physics 2016-08-24 Ettore Vitali , Hao Shi , Mingpu Qin , Shiwei Zhang
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