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We provide a microscopic model setting that allows us to readily access to the large-distance asymptotic behaviour of multi-point correlation functions in massless, one-dimensional, quantum models. The method of analysis we propose is based…

Mathematical Physics · Physics 2017-03-17 N. Kitanine , K. K. Kozlowski , J. M. Maillet , V. Terras

We study the long-distance asymptotic behavior of various correlation functions for the one-dimensional (1D) attractive Hubbard model in a partially polarized phase through the Bethe ansatz and conformal field theory approaches. We…

Strongly Correlated Electrons · Physics 2018-04-04 Song Cheng , Yu-Zhu Jiang , Yi-Cong Yu , Murray T. Batchelor , Xi-Wen Guan

When a quantum field theory possesses topological excitations in a phase with spontaneously broken symmetry, these are created by operators which are non-local with respect to the order parameter. Due to non-locality, such disorder…

High Energy Physics - Theory · Physics 2009-11-07 G. Delfino , P. Grinza , G. Mussardo

We calculate the dynamic single-particle and many-particle correlation functions at non-zero temperature in one-dimensional trapped repulsive Bose gases. The decay for increasing distance between the points of these correlation functions is…

Statistical Mechanics · Physics 2009-11-10 N. M. Bogoliubov , R. K. Bullough , C. Malyshev , J. Timonen

The exact large time and distance behavior of the field-field correlators has been computed for one-dimensional impenetrable anyons at finite temperatures. The result reproduces known asymptotics for impenetrable bosons and free fermions in…

Statistical Mechanics · Physics 2015-05-13 Ovidiu I. Patu , Vladimir E. Korepin , Dmitri V. Averin

Correlations of detection events in two detectors are studied in case of linear excitation of the measuring apparatus. On the basis of classical probability theory and fundamental conservation laws, a general formula is derived for the…

Quantum Physics · Physics 2011-03-01 Sandor Varro

We discuss correlations between particles of different momentum in a superfluid fermi gas, accessible through noise measurements of absorption images of the expanded gas. We include two elements missing from the simplest treatment, based on…

Statistical Mechanics · Physics 2009-11-11 Austen Lamacraft

We calculate zero-temperature correlation functions for a model of 2D interacting electrons with short-range interactions and a square Fermi surface. The model was arrived at by mapping electronic states near a square Fermi surface with…

Strongly Correlated Electrons · Physics 2009-10-31 J. O. Fjaerestad , A. Sudbo , A. Luther

We consider a strongly interacting one-dimensional (1D) Bose-Fermi mixture confined in a harmonic trap. It consists of a Tonks-Girardeau (TG) gas (1D Bose gas with repulsive hard-core interactions) and of a non-interacting Fermi gas (1D…

Other Condensed Matter · Physics 2009-03-02 Bess Yiyuan Fang , Patrizia Vignolo , Christian Miniatura , Anna Minguzzi

Dynamical properties of homogeneous Fermi-Fermi mixtures of dipolar and non-dipolar atoms are studied at zero temperature, where dipoles are polarized by an external field. We calculate the density-density correlation functions in a…

Quantum Gases · Physics 2024-04-24 Takahiko Miyakawa , Eiji Nakano , Hiroyuki Yabu

We determine exactly the short-distance leading behavior of the density correlation functions of a two-dimensional two-component charge-symmetric Coulomb gas composed of point particles, in the whole regime of stability where the coulombic…

Statistical Mechanics · Physics 2007-05-23 Gabriel Tellez

Interacting mixtures of bosons and fermions are ubiquitous in nature. They form the backbone of the standard model of physics, provide a framework for understanding quantum materials and are of technological importance in helium dilution…

Bose-Einstein correlations and momentum distributions are calculated for longitudinally expanding systems, like jets or high energy heavy ion collisions with light projectiles. The expansion generates a thermal length-scale in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Csorgo

We investigate magnetic properties and statistical effects in 1D strongly repulsive two-component fermions and in a 1D mixture of strongly repulsive polarized fermions and bosons. Universality in the characteristics of phase transitions,…

Statistical Mechanics · Physics 2008-08-23 X. -W. Guan , M. T. Batchelor , J. -Y. Lee

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

We introduce a general approximate method for calculating the one-body correlations and the momentum distributions of one-dimensional Bose gases at finite interaction strengths and temperatures trapped in smooth confining potentials. Our…

Statistical Mechanics · Physics 2025-03-25 Attila Takács , Yicheng Zhang , Pasquale Calabrese , Jerôme Dubail , Marcos Rigol , Stefano Scopa

We consider the current correlation function for a three-dimensional system of fermions embedded in a homogeneous background and mutually interacting via an attractive short-range potential, below the (superconducting) critical temperature.…

Superconductivity · Physics 2009-11-10 N. Andrenacci , P. Pieri , G. C. Strinati

Model-independent considerations are presented for the calculation of Bose-Einstein correlation functions and momentum distributions which describe boson-emitting systems containing a central part surrounded by a large halo. If the…

High Energy Physics - Phenomenology · Physics 2015-06-25 T. Csorgo , B. Lorstad , J. Zimanyi

We study ground state properties of spinless, quasi one-dimensional bosons which are confined in a harmonic trap and interact via repulsive delta-potentials. We use the exact diagonalization method to analyze the pair correlation function,…

Other Condensed Matter · Physics 2007-05-23 Frank Deuretzbacher , Kai Bongs , Klaus Sengstock , Daniela Pfannkuche

Correlation functions in the restricted primitive model are calculated within a field-theoretic approach in the one-loop self-consistent Hartree approximation. The correlation functions exhibit damped oscillatory behavior as found before in…

Soft Condensed Matter · Physics 2009-11-11 O. Patsahan , A. Ciach