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The dynamical correlations of a strongly correlated system is an essential ingredient to describe its non-equilibrium properties. We present a general method to calculate exactly the dynamical correlations of hard-core anyons in…

量子气体 · 物理学 2022-06-03 Qing-Wei Wang

We study dynamical correlations of interacting hard-core anyons on a one-dimensional lattice at infinite temperature. This is a setting in which the many-body spectrum is independent of the statistical phase $\theta$, while dynamical…

强关联电子 · 物理学 2026-04-23 Doru Sticlet , Ovidiu I. Pâţu , Balázs Dóra , Cătălin Paşcu Moca

We address the problem of calculating the correlation functions of one-dimensional two-component gases with strong repulsive contact interactions. The model considered in this paper describes particles with fractional statistics and in…

统计力学 · 物理学 2020-01-01 Ovidiu I. Patu

We study thermal correlation functions of the one-dimensional impenetrable lattice anyons. These correlation functions can be presented as a difference of two Fredholm determinants. To describe large time and long distance behavior of these…

量子气体 · 物理学 2022-03-14 Yuri Zhuravlev , Eduard Naichuk , Nikolai Iorgov , Oleksandr Gamayun

We have investigated the properties of a model of 1D anyons interacting through a $\delta$-function repulsive potential. The structure of the quasi-periodic boundary conditions for the anyonic field operators and the many-anyon…

统计力学 · 物理学 2009-11-13 Ovidiu I. Patu , Vladimir E. Korepin , Dmitri V. Averin

We study finite temperature dynamical correlation functions of the magnetization operator in the one-dimensional Ising quantum field theory. Our approach is based on a finite temperature form factor series and on a Fredholm determinant…

统计力学 · 物理学 2024-12-11 István Csépányi , Márton Kormos

The usual formulas for the correlation functions in orthogonal and symplectic matrix models express them as quaternion determinants. From this representation one can deduce formulas for spacing probabilities in terms of Fredholm…

solv-int · 物理学 2009-07-11 Craig A. Tracy , Harold Widom

We formulate correlation functions for a one-dimensional interacting spinless fermion model at finite temperature. By combination of a lattice path integral formulation for thermodynamics with the algebraic Bethe ansatz for fermion systems,…

统计力学 · 物理学 2008-02-21 Kohei Motegi , Kazumitsu Sakai

This work presents the derivation of the large time and distance asymptotic behavior of the field-field correlation functions of impenetrable one-dimensional anyons at finite temperature. In the appropriate limits of the statistics…

统计力学 · 物理学 2015-05-14 Ovidiu I. Patu , Vladimir E. Korepin , Dmitri V. Averin

We investigate the strongly interacting hard-core anyon gases in a one dimensional harmonic potential at finite temperature by extending thermal Bose-Fermi mapping method to thermal anyon-ferimon mapping method. With thermal anyon-fermion…

量子气体 · 物理学 2017-06-28 Yajiang Hao , Yafei Song

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…

统计力学 · 物理学 2011-11-10 Kohei Motegi , Kazumitsu Sakai

We investigate the dynamical properties of anyons confined in one-dimensional optical lattice combined with a weak harmonic trap using the exact numerical method based on a generalized Jordan-Wigner transformation. The density profiles,…

量子气体 · 物理学 2013-12-19 Yajiang Hao , Shu Chen

We present an exact study of the finite-temperature properties of hard-core bosons (HCB's) confined on one-dimensional optical lattices. Our solution of the HCB problem is based on the Jordan-Wigner transformation and properties of Slater…

统计力学 · 物理学 2007-05-23 Marcos Rigol

In high energy collision experiments with multiple hadron productions, the momentum distribution of the measured hadron pair shows a correlation due to the final state hadron interactions and the quantum statistics. In the past, this…

高能物理 - 唯象学 · 物理学 2025-04-15 Tetsuo Hyodo

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…

强关联电子 · 物理学 2016-08-24 Ettore Vitali , Hao Shi , Mingpu Qin , Shiwei Zhang

We have obtained a determinant representation for the time- and temperature-dependent field-field correlation function of the impenetrable Lieb-Liniger gas of anyons through direct summation of the form factors. In the static case, the…

统计力学 · 物理学 2009-11-13 Ovidiu I. Patu , Vladimir E. Korepin , Dmitri V. Averin

We consider off-diagonal correlation functions of impenetrable bosons on a lattice. By using the Jordan-Wigner transformation the one-body density matrix is represented as (Toeplitz) determinant of a matrix of fermionic Green functions.…

统计力学 · 物理学 2007-05-23 D. M. Gangardt , G. V. Shlyapnikov

We consider the one-dimensional Hubbard model with the infinitely strong repulsion. The two-point dynamical temperature correlation functions are calculated. They are represented as Fredholm determinants of linear integrable integral…

高能物理 - 理论 · 物理学 2009-10-31 A. G. Izergin , A. G. Pronko , N. I. Abarenkova

A universal description of correlation functions of one-dimensional anyonic gapless systems in the low-momentum regime is presented. We point out a number of interesting features, including universal oscillating terms with frequency…

统计力学 · 物理学 2008-11-26 Pasquale Calabrese , Mihail Mintchev

We present explicit expressions for the correlation functions of interacting fermions in one dimension which are valid for arbitrary system sizes and temperatures. The result applies to a number of very different strongly correlated…

强关联电子 · 物理学 2009-10-30 Sebastian Eggert , Ann E. Mattsson , Jari M. Kinaret
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