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We study the temperature dependence of discretization errors in nuclear lattice simulations. We find that for systems with strong attractive interactions the predominant error arises from the breaking of Galilean invariance. We propose a…

Nuclear Theory · Physics 2008-11-26 Dean Lee , Richard Thomson

Low temperatures are necessary for the observation of strongly correlated quantum phases of fermionic atoms in optical lattices. We analyze how the temperature of a Fermi gas is altered when the fermions are loaded into an optical lattice…

Strongly Correlated Electrons · Physics 2007-05-23 Michael Köhl

In this paper we develop an analytic expression for the critical temperature for a gas of ideal bosons in a combined harmonic lattice potential, relevant to current experiments using optical lattices. We give corrections to the critical…

Other Condensed Matter · Physics 2008-01-11 P. B. Blakie , Wen-Xin Wang

The high-resolution spectrometer FRS at GSI Darmstadt provides the full isotopic and kinematical identification of fragmentation residues in relativistic heavy-ion collisions. Recent measurements of the isotopic distribution of heavy…

We propose a new approach to characterizing the depths of optical lattices, in which an atomic gas is given a finite initial momentum, which leads to high amplitude oscillations in the zeroth diffraction order which are robust to…

Quantum Physics · Physics 2019-12-25 Benjamin T. Beswick , Ifan G. Hughes , Simon A. Gardiner

We present a field configuration-based temperature estimator in lattice gauge theories, constructed from the gradient and Hessian of the Euclidean action. Adapted from geometric formulations of entropy in classical statistical mechanics,…

High Energy Physics - Lattice · Physics 2025-10-03 Navdeep Singh Dhindsa , Anosh Joseph , Vamika Longia

Three-dimensional $Z(N)$ lattice gauge theories are studied numerically at finite temperature for $N$ = 5, 6, 8, 12, 13, 20 and for $N_t$=2,4,8. For each model the location of phase transitions and its critical indices are determined. The…

High Energy Physics - Lattice · Physics 2014-10-06 Oleg Borisenko , Volodymyr Chelnokov , Mario Gravina , Alessandro Papa

Distinct entropy definitions have been used to obtain an inverse correlation between the residual size and entropy for Heavy Ion Collisions. This explains the existence of several temperatures for different residual size bins, as reported…

Nuclear Theory · Physics 2007-05-23 A. Barrañón , J. A. López , J. Escamilla Roa

We measure the temperature of ultra-cold Rb-87 gases transferred into an optical lattice and compare to non-interacting thermodynamics for a combined lattice--parabolic potential. Absolute temperature is determined at low temperature by…

Atomic Physics · Physics 2009-11-20 D. McKay , M. White , B. DeMarco

We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical system in the micro canonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a…

chao-dyn · Physics 2009-10-30 Hans Henrik Rugh

A new approach to study the equation of state in finite-temperature QCD is proposed on the lattice. Unlike the conventional method in which the temporal lattice size $N_t$ is fixed, the temperature $T$ is varied by changing $N_t$ at fixed…

High Energy Physics - Lattice · Physics 2009-03-12 T. Umeda , S. Ejiri , S. Aoki , T. Hatsuda , K. Kanaya , Y. Maezawa , H. Ohno

We study a class of nonequilibrium lattice models which describe local redistributions of a globally conserved energy. A particular subclass can be solved analytically, allowing to define a temperature T_{th} along the same lines as in the…

Statistical Mechanics · Physics 2007-05-23 Eric Bertin , Olivier Dauchot , Michel Droz

Temperature of a finite-sized system fluctuates due to the thermal fluctuations. However, a systematic mathematical framework for measuring or estimating the temperature is still underdeveloped. Here, we incorporate the estimation theory in…

Statistical Mechanics · Physics 2026-03-17 Shaoyong Zhang , Zhaoyu Fei , Xiaoguang Wang

The notion of configuration temperature is extended to discontinuous systems by identifying the temperature as the nontrivial root of several integral equations regarding the distribution of the energy change upon configuration…

Statistical Mechanics · Physics 2013-03-26 Cheng Zhang

Heavy-ion collisions at relativistic energies probe matter at extreme conditions of temperatures and energy densities. The study of event-by-event fluctuations of experimental observables is crucial to probe the QCD phase transition, locate…

Nuclear Experiment · Physics 2020-12-30 Tapan K. Nayak

We investigate the interaction dependence of the liquid-gas critical point of symmetric nuclear matter in finite-temperature lattice effective field theory. Building on the pinhole-trace algorithm, we benchmark a first-order perturbative…

Nuclear Theory · Physics 2026-04-21 Osman Agar , Zhengxue Ren , Serdar Elhatisari

We present a new procedure able to identify and measure the critical temperature. This method is based on the divergence of the relaxation time approaching the critical point in quenches from infinite temperature. We introduce a…

Statistical Mechanics · Physics 2015-05-18 Eugenio Lippiello , Alessandro Sarracino

A study of QCD at non-zero chemical potential, mu, and temperature, T, is performed using the lattice technique. The transition temperature (between the confined and deconfined phases) is determined as a function of mu and is found to be in…

High Energy Physics - Phenomenology · Physics 2017-08-23 C. R. Allton , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , Ch. Schmidt , L. Scorzato

Under the Ansatz that the occupation times of a system with finitely many states are given by the Gibbs distribution, an effective temperature is uniquely determined (up to a choice of scale), and may be computed de novo, without any…

Statistical Mechanics · Physics 2009-04-27 Steve Huntsman

I discuss recent results on lattice QCD calculations with the main emphasis on the thermodynamics of the crossover region, restoration of the chiral symmetry and fluctuations of conserved charges as indicator of deconfinement, that may also…

High Energy Physics - Lattice · Physics 2015-06-15 Alexei Bazavov