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We present a novel algorithm that allows one to obtain temperature dependent properties of quantum lattice models in the thermodynamic limit from exact diagonalization of small clusters. Our Numerical Linked Cluster (NLC) approach provides…

Strongly Correlated Electrons · Physics 2007-05-23 Marcos Rigol , Tyler Bryant , Rajiv R. P. Singh

We study the phase diagram at finite temperature of a system of Fermi particles on the sites of the Bethe lattice with coordination number z and interacting through onsite U and nearest-neighbor V interactions. This is a physical…

Strongly Correlated Electrons · Physics 2008-09-09 F. Mancini , F. P. Mancini , A. Naddeo

The precise knowledge of the temperature of an ultracold lattice gas simulating a strongly correlated system is a question of both, fundamental and technological importance. Here, we address such question by combining tools from quantum…

Quantum Physics · Physics 2015-09-08 Mohammad Mehboudi , Maria Moreno-Cardoner , Gabriele De Chiara , Anna Sanpera

We present a method to compute the magnetic susceptibility of spin systems at all temperatures in one and two dimensions. It relies on an approximation of the entropy versus energy (microcanonical potential function) on the whole range of…

Strongly Correlated Electrons · Physics 2015-06-22 B. Bernu , C. Lhuillier

We analyze quantitatively how imaging techniques with single-site resolution allow to measure thermodynamical properties that cannot be inferred from time-of-light images for the trapped Bose-Hubbard model. If the normal state extends over…

Quantum Gases · Physics 2013-05-29 Ping Nang Ma , Lode Pollet , Matthias Troyer

Using quasiparticle models and imposing thermodynamic consistency, lattice data for the equation of state of deconfined QCD can be mapped to finite chemical potential. We consider a refinement of existing simple massive quasiparticle models…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Rebhan , P. Romatschke

We investigate analytically the low temperature behavior of the specific heat $C_v(T)$ for a large class of quantum disordered models within Mean Field approximation. This includes the vibrational modes of a lattice pinned by impurity…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr

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

We prove a general theorem which provides a strict lower bound on high-temperature Green-Kubo diffusion constants in locally interacting quantum lattice systems, under the assumption of existence of a quadratically extensive almost…

Statistical Mechanics · Physics 2014-02-03 Tomaz Prosen

We present a new approach to the static finite temperature correlation functions of the Heisenberg chain based on functional equations. An inhomogeneous generalization of the n-site density operator is considered. The lattice path integral…

Statistical Mechanics · Physics 2012-08-09 Britta Aufgebauer , Andreas Klümper

We consider the problem of estimating the temperature $ T $ of a very cold equilibrium sample. The temperature estimates are drawn from measurements performed on a quantum probe strongly coupled to it. We model this scenario by resorting to…

Preparing quantum thermal states on a quantum computer is in general a difficult task. We provide a procedure to prepare a thermal state on a quantum computer with a logarithmic depth circuit of local quantum channels assuming that the…

Quantum Physics · Physics 2019-02-13 Fernando G. S. L. Brandao , Michael J. Kastoryano

Since the initial investigation by Matsui and Satz heavy quark bound states at finite temperature have been subject to numerous studies. The derivation of a finite-temperature potential from first principles was attempted only recently…

High Energy Physics - Lattice · Physics 2009-06-25 M. Tassler

The locality of thermal quantum states has emerged as a key input for applications to thermalization, response theory, and efficient simulability. Locality is either captured by the decay of correlations or by local indistinguishability,…

Mathematical Physics · Physics 2026-01-22 Arka Adhikari , Joscha Henheik , Marius Lemm , Tom Wessel

Given operators $A,B$ in some ideal $\mathcal{I}$ in the algebra $\mathcal{L}(H)$ of all bounded operators on a separable Hilbert space $H$, can we give conditions guaranteeing the existence of a trace-class operator $C$ such that $B…

Functional Analysis · Mathematics 2015-06-22 Guillaume Aubrun , Fedor Sukochev , Dmitriy Zanin

With the aid of the vector Ward-Takahashi identity we derive a general formula for the quark number susceptibility (QNS) which expresses the QNS as an integral expression only involving the full quark propagator at finite temperature and…

High Energy Physics - Phenomenology · Physics 2014-11-20 Yu Jiang , Hui-xia Zhu , Wei-min Sun , Hong-shi Zong

Finite temperature density functional theory requires representations for the internal energy, entropy, and free energy as functionals of the local density field. A central formal difficulty for an orbital-free representation is…

Statistical Mechanics · Physics 2011-05-12 James W. Dufty , S. B. Trickey

This paper establishes trace-formulae for a class of operators defined in terms of the functional calculus for the Laplace operator on divergence-free vector fields with relative and absolute boundary conditions on Lipschitz domains in…

Analysis of PDEs · Mathematics 2025-02-12 Alexander Strohmaier , Alden Waters

We derive exact critical-temperature bounds for the classical ferromagnetic Ising model on two-dimensional periodic tessellations of the plane. For any such tessellation or lattice, the critical temperature is bounded from above by a…

Statistical Mechanics · Physics 2026-05-29 Davidson Noby Joseph , Igor Boettcher

We calculate thermal transport in the Falicov-Kimball model on an infinite-coordination-number Bethe lattice. We perform numerical calculations of the thermoelectric characteristics and concentrate on finding materials parameters for which…

Strongly Correlated Electrons · Physics 2009-11-10 A. V. Joura , D. O. Demchenko , J. K. Freericks