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Related papers: Temperature correlators in the two-component one-d…

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We calculate the asymptotic behaviour of correlation functions as a function of the microscopic parameters for a Bose-Fermi mixture with repulsive interaction in one dimension. For two cases, namely polarized and unpolarized fermions the…

Strongly Correlated Electrons · Physics 2007-05-23 Holger Frahm , Guillaume Palacios

Two different physical systems are said to be thermodynamically equiv- alent if one of the thermodynamic potentials of the first system is pro- portional to the corresponding potential of the second system after expressing the state…

Statistical Mechanics · Physics 2015-06-04 Salvino Ciccariello

The interplay between dimensionality, coherence and interaction in superfluid Fermi gases is analyzed by the phase correlation function of the field of fermionic pairs. We calculate this phase correlation function for a two-dimensional…

Quantum Gases · Physics 2015-06-22 J. Tempere , S. N. Klimin

Equal-time commutators of different components of the energy-momentum tensor at spatially separated points are calculated for a relativistic quantum Fermi gas at finite temperature and density. Different definitions of such components, also…

High Energy Physics - Phenomenology · Physics 2024-09-30 Sourav Dey , Samapan Bhadury , Wojciech Florkowski , Radoslaw Ryblewski , Amaresh Jaiswal

We observe many-body pairing in a two-dimensional gas of ultracold fermionic atoms at temperatures far above the critical temperature for superfluidity. For this, we use spatially resolved radio-frequency spectroscopy to measure pairing…

We present exact and explicit results for the thermodynamic properties (isochores, isotherms, isobars, response functions, velocity of sound) of a quantum gas in dimensions D>=1 and with fractional exclusion statistics 0<=g<=1 connecting…

Statistical Mechanics · Physics 2009-11-11 Geoffrey G. Potter , Gerhard Muller , Michael Karbach

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

We present a new method of obtaining nonlinear integral equations characterizing the thermodynamics of one-dimensional multi-component gases interacting via a delta-function potential. In the case of the repulsive two-component Bose gas we…

Statistical Mechanics · Physics 2015-05-27 Andreas Klumper , Ovidiu I. Patu

We discuss recent results on the relation between the strongly interacting one-dimensional Bose gas and a gas of ideal particles obeying nonmutual generalized exclusion statistics (GES). The thermodynamic properties considered include the…

Statistical Mechanics · Physics 2018-05-02 M. T. Batchelor , X. -W. Guan

The study of strongly correlated quantum gases in two dimensions has important ramifications for understanding many intriguing pheomena in solid materials, such as high-$T_{c}$ superconductivity and the fractional quantum Hall effect.…

Quantum Gases · Physics 2010-09-03 Xia-Ji Liu , Hui Hu , Peter D. Drummond

We propose an approach to the problem of finite temperature dynamical correlation functions in integrable one-dimensional models with a spectral gap. The approach is based on the analysis of the singularities of the operator matrix elements…

Statistical Mechanics · Physics 2007-05-23 B. L. Altshuler , A. M. Tsvelik

We study a gas of point particles with hard-core repulsion in one dimension where the particles move freely in-between elastic collisions. We prepare the system with a uniform density on the infinite line. The velocities $\{v_i; i \in…

Statistical Mechanics · Physics 2026-03-12 Aritra Kundu , Abhishek Dhar , Sanjib Sabhapandit

We have measured the heat capacity of an optically-trapped, strongly-interacting Fermi gas of atoms. A precise input of energy to the gas is followed by single-parameter thermometry, which determines the empirical temperature parameter…

Other Condensed Matter · Physics 2011-09-13 J. Kinast , A. Turlapov , J. E. Thomas , Qijin Chen , Jelena Stajic , K. Levin

We consider the local field dynamical temperature correlation function of the Quantum Nonlinear Schrodinger equation with the finite coupling constant. This correlation function admits a Fredholm determinant representation. The related…

Mathematical Physics · Physics 2009-10-31 A. R. Its , N. A. Slavnov

We theoretically examine equilibrium properties of the harmonically trapped ideal Bose and Fermi gases in the quantum degeneracy regime. We analyze thermodynamic characteristics of gases with a finite number of atoms by means of the known…

Quantum Gases · Physics 2021-12-06 Valeriia Bilokon , Elvira Bilokon , Alexander Peletminskii , Andrii Sotnikov

I consider quantum electrodynamics with many electrons in 2+1 space-time dimensions at finite temperature. The relevant dimensionless interaction parameter for this theory is the fine structure constant divided by the temperature. The…

High Energy Physics - Theory · Physics 2019-12-18 Paul Romatschke

We consider finite-temperature deformation of the sine kernel Fredholm determinants acting on the closed contours. These types of expressions usually appear as static two-point correlation functions in the models of free fermions and can be…

Mathematical Physics · Physics 2024-11-26 Oleksandr Gamayun , Yuri Zhuravlev

The thermal transport properties of a two dimensional Fermi gas are explored, for the full range of temperatures and densities. The heat flux is established by solving the Uehling-Uhlebeck equation using a relaxation approximation given by…

Statistical Mechanics · Physics 2020-01-29 A. R. Méndez , A. L. García-Perciante , G. Chacón-Acosta

We present a general argument showing that the temperature as well as other thermodynamical state variables can qualify as entanglement witnesses for spatial entanglement. This holds for a variety of systems and we exemplify our ideas using…

Quantum Physics · Physics 2007-05-23 Janet Anders , Dagomir Kaszlikowski , Christian Lunkes , Toshio Ohshima , Vlatko Vedral

Many experimentally relevant systems are quasi-one-dimensional, consisting of nearly decoupled chains. In these systems, there is a natural separation of scales between the strong intra-chain interactions and the weak interchain coupling.…

Quantum Gases · Physics 2023-02-21 Miłosz Panfil , Sarang Gopalakrishnan , Robert M. Konik
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