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A constraint correlation dynamics up to 4-point Green's functions is proposed for SU(N) gauge theories which reduces the N-body quantum field problem to the two-body level. The resulting set of nonlinear coupled equations fulfills all…

Nuclear Theory · Physics 2009-10-22 S. J. Wang , W. Cassing , M. H. Thoma

The Bose gas in an external potential is studied by means of the local density approximation. An analytical result is derived for the dependence of the critical temperature of Bose-Einstein condensation on the mutual interaction in a…

Condensed Matter · Physics 2009-10-28 Hualin Shi , Wei-Mou Zheng

The sine-Gordon model serves as a foundational $1+1$-dimensional quantum field theory with numerous applications in condensed matter physics. Despite its integrability, characterizing its finite-temperature behavior remains a significant…

Statistical Mechanics · Physics 2026-04-15 M. Tóth , J. H. Pixley , G. Takács , M. Kormos

Complete information on the equilibrium behaviour and dynamics of a quantum field theory (QFT) is provided by multipoint correlation functions. However, their theoretical calculation is a challenging problem, even for exactly solvable…

Statistical Mechanics · Physics 2018-09-19 Ivan Kukuljan , Spyros Sotiriadis , Gabor Takacs

The large time and long distance behavior of the temperature correlation functions of the quantum one-dimensional Bose gas is considered. We obtain integral equations, which solutions describe the asymptotics. These equations are closely…

solv-int · Physics 2009-10-31 N. A. Slavnov

We study the statistical mechanics of a one-dimensional log gas with general potential and arbitrary beta, the inverse of temperature, according to the method we introduced for two-dimensional Coulomb gases in [SS2]. Such ensembles…

Probability · Mathematics 2014-08-12 Etienne Sandier , Sylvia Serfaty

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

The recent results of [J. Dubail, J.-M. St\'ephan, J. Viti, P. Calabrese, Scipost Phys. 2, 002 (2017)], which aim at providing access to large scale correlation functions of inhomogeneous critical one-dimensional quantum systems -- e.g. a…

Statistical Mechanics · Physics 2019-05-01 Paola Ruggiero , Yannis Brun , Jérome Dubail

We examine a Coulomb gas consisting of $n$ identical repelling point charges at an arbitrary inverse temperature $\beta$, subjected to a suitable external field. We prove that the gas is effectively localized to a small neighbourhood of the…

Probability · Mathematics 2021-04-16 Yacin Ameur

Angular correlations for low-energy neutron induced $\gamma$ reactions are calculated using nuclear reaction formalism for multi level neutron capture with arbitrary multiplicities of $\gamma$ transitions. We confirm previous calculations…

Nuclear Theory · Physics 2025-09-22 Vladimir Gudkov , Hirohiko M. Shimizu

We present an ab initio stochastic method for calculating thermal properties of a trapped, 1D Bose-gas covering the whole range from weak to strong interactions. Discretization of the problem results in a Bose-Hubbard-like Hamiltonian,…

Statistical Mechanics · Physics 2009-11-10 B. Schmidt , L. I. Plimak , M. Fleischhauer

We observe that in presence of excitation, a thermodynamic Smarr like relation corresponding to a generalized entanglement temperature ($T_g$) can be holographically obtained for the entanglement entropy of a subsystem. Such a relation…

High Energy Physics - Theory · Physics 2020-10-14 Ashis Saha , Sunandan Gangopadhyay , Jyoti Prasad Saha

The correlation function is an important quantity in the physics of ultracold quantum gases because it provides information about the quantum many-body wave function beyond the simple density profile. In this paper we first study the…

Quantum Gases · Physics 2016-06-22 E. J. K. P. Nandani , Rudolf A. Roemer , Shina Tan , Xi-Wen Guan

The proposed earlier relativistic mean-field model with hadron masses and coupling constants depending on the $\sigma$-meson field is generalized to finite temperatures. Within this approach we simulate the in-medium behavior of the hadron…

Nuclear Theory · Physics 2008-11-26 A. S. Khvorostukhin , V. D. Toneev , D. N. Voskresensky

We have analytically explored both the zero temperature and the finite temperature scaling theory for the collapse of an attractively interacting 3-D harmonically trapped Bose gas in a synthetic magnetic field. We have considered…

Statistical Mechanics · Physics 2025-04-18 Bikram Keshari Behera , Shyamal Biswas

Fluctuations and correlations of conserved quantities in the confined phase of QCD are a viable way to characterize the existence of exotic and missing states with given quantum numbers in the hadronic spectrum. We study a realization of…

High Energy Physics - Phenomenology · Physics 2025-01-10 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We introduce and prove a maximum principle for a natural quantity related to the $k$-point correlation function of the classical one-component Coulomb gas. As an application, we show that the gas is confined to the droplet by a well-known…

Probability · Mathematics 2025-01-07 Eric Thoma

Exotic phases of matter can emerge from strong correlations in quantum many-body systems. Quantum gas microscopy affords the opportunity to study these correlations with unprecedented detail. Here we report site-resolved observations of…

The heat flow between a quantum system and its reservoir is analyzed when initially both are in a separable thermal state and asymptotically approach a correlated equilibrium. General findings are illustrated for specific systems and…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Joachim Ankerhold , Jukka P. Pekola

The Hadron-Resonance Gas (HRG) approach - used to model hadronic matter at small baryon potentials $\mu_B$ and finite temperature $T$ - is extended to finite and large chemical potentials by introducing interactions between baryons in line…

High Energy Physics - Phenomenology · Physics 2018-07-25 Thorsten Steinert , Wolfgang Cassing
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