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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,…

Statistical Mechanics · Physics 2008-02-21 Kohei Motegi , Kazumitsu Sakai

A new cluster algorithm based on invasion percolation is described. The algorithm samples the critical point of a spin system without a priori knowledge of the critical temperature and provides an efficient way to determine the critical…

Condensed Matter · Physics 2009-10-28 J. Machta , Y. S. Choi , A. Lucke , T. Schweizer , L. V. Chayes

We represent the density matrix of a finite segment of the integrable isotropic spin-1 chain in the thermodynamic limit as a multiple integral. Our integral formula is valid at finite temperature and also includes a homogeneous magnetic…

Strongly Correlated Electrons · Physics 2011-03-28 Frank Göhmann , Alexander Seel , Junji Suzuki

We discuss recently introduced numerical linked-cluster (NLC) algorithms that allow one to obtain temperature-dependent properties of quantum lattice models, in the thermodynamic limit, from exact diagonalization of finite clusters. We…

Statistical Mechanics · Physics 2007-06-25 Marcos Rigol , Tyler Bryant , Rajiv R. P. Singh

This is a historical note. In 1993 we calculated space, time and temperature dependent correlation function in isotropic version of one dimensional XY spin chain. The correlation function decays exponentially with time and space separation.…

Quantum Physics · Physics 2015-05-14 A. Its , A. Izergin , V. Korepin , N. Slavnov

Using exact diagonalization, Monte-Carlo, and mean-field techniques, characteristic temperature scales for ferromagnetic order are discussed for the Ising and the classical anisotropic Heisenberg model on finite lattices in one and two…

Mesoscale and Nanoscale Physics · Physics 2011-04-12 E. Y. Vedmedenko , N. Mikuszeit , T. Stapelfeldt , R. Wieser , M. Potthoff , A. Lichtenstein , R. Wiesendanger

We investigate the thermal quantum and total correlations in the anisotropic XY spin chain in transverse field. While we adopt concurrence and geometric quantum discord to measure quantum correlations, we use measurement-induced nonlocality…

Quantum Physics · Physics 2012-11-16 B. Çakmak , G. Karpat , Z. Gedik

We argue that clustering of color sources, leading to the percolation transition, may be the way to achieve deconfinement in heavy ion collisions. The critical density for percolation is related to the effective critical temperature of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Dias de Deus , C. Pajares

We prove clustering estimates for the truncated correlations, i.e., cumulants of an unbounded spin system on the lattice. We provide a unified treatment, based on cluster expansion techniques, of four different regimes: large mass, small…

Mathematical Physics · Physics 2015-05-13 Abdelmalek Abdesselam , Aldo Procacci , Benedetto Scoppola

The level density at low spin in the 161,162-Dy and 171,172-Yb nuclei has been extracted from primary gamma rays. The nuclear heat capacity is deduced within the framework of the canonical ensemble. The heat capacity exhibits an S-formed…

We determine the complete set of generalized spin squeezing inequalities. These are entanglement criteria that can be used for the experimental detection of entanglement in a system of spin-1/2 particles in which the spins cannot be…

Quantum Physics · Physics 2011-11-09 Geza Toth , Christian Knapp , Otfried Gühne , Hans J. Briegel

In this paper we present a Monte Carlo calculation of the critical temperature and other thermodynamic quantities for the unitary Fermi gas with a population imbalance (unequal number of fermions in the two spin components). We describe an…

Quantum Gases · Physics 2010-11-22 Olga Goulko , Matthew Wingate

It is typically assumed, without justification, that a weak coupling between a system and a bath is a necessary condition for the equivalence of a canonical ensemble and a microcanonical ensemble. For instance, in a canonical ensemble,…

Statistical Mechanics · Physics 2010-11-09 Wenxian Zhang , C. P. Sun , Franco Nori

We propose a self-adapted Monte Carlo approach to automatically determine the critical temperature by simulating two systems with different sizes at the same temperature. The temperature is increased or decreased by checking the short-time…

Statistical Mechanics · Physics 2020-11-10 Tasrief Surungan , Yutaka Okabe

A generalization to the quantum case of a recently introduced algorithm (Y. Tomita and Y. Okabe, Phys. Rev. Lett. {\bf 86}, 572 (2001)) for the determination of the critical temperature of classical spin models is proposed. We describe a…

Strongly Correlated Electrons · Physics 2009-11-07 F. Alet , E. Sorensen

We investigate the critical properties of the spin-3/2 Blume-Capel model in two dimensions on a random lattice with quenched connectivity disorder. The disordered system is simulated by applying the cluster hybrid Monte Carlo update…

Statistical Mechanics · Physics 2015-06-25 F. W. S. Lima , J. A. Plascak

The investigations of low-temperature heat capacity in pure and impurity doped high temperature superconductors have been performed by high-precision pulsed differential scanning calorimeter, providing the measurements of heat capacities…

Superconductivity · Physics 2012-10-09 M. M. Nadareishvili , K. A. Kvavadze , N. E. Hussey , A. J. Shengelaya , S. J. Tsakadze , J. Ramsden

We study a $p$-spin model with ferromagnetic coupling and quenched random-crystal fields for $p \ge 3$ for spin-1 systems. We find that the model has lines of first order transitions at finite temperature $(T)$ for all $p \ge 3$. For…

Statistical Mechanics · Physics 2022-10-13 Santanu Das , Sumedha

We promote use of the geometric entropy formula derived by Holzhey et. al. from conformal field theory, $S_\ell\sim ({c}/{3}) \log(\sin{\pi\ell}/{N})$, to identify critical regions in zero temperature 1D quantum systems. The method is…

Statistical Mechanics · Physics 2009-11-11 S. O. Skrøvseth , K. Olaussen

Extensive simulations are made of the spin glass susceptibility and correlation length in five dimension Ising Spin Glasses (ISGs) with Gaussian and bimodal interaction distributions. Once the transition temperature is accurately…

Disordered Systems and Neural Networks · Physics 2013-07-22 P. H. Lundow , I. A. Campbell