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We propose an efficient stochastic method to implement numerically the Bogolubov approach to study finite-temperature Bose-Einstein condensates. Our method is based on the Wigner representation of the density matrix describing the non…

Statistical Mechanics · Physics 2015-06-24 Alice Sinatra , Yvan Castin , Carlos Lobo

A simple pedagogical introduction to the effective action method of quantum field theory is given at a level suitable for beginning postgraduate students. It is shown how to obtain the effective potential at zero temperature from a…

Statistical Mechanics · Physics 2008-02-03 David J. Toms

Monte Carlo computer simulations are virtually the only way to analyze the thermodynamic behavior of a system in a precise way. However, the various existing methods exhibit extreme differences in their efficiency, depending on model…

Statistical Mechanics · Physics 2011-07-05 Michael Bachmann

In this paper we develop a quantum algorithm to realize finite temperature simulation on a quantum computer. As quantum computers use real-time evolution we did not use the imaginary time methods popular on classical algorithms. Instead, we…

Quantum Physics · Physics 2019-11-11 Raffaele Miceli , Michael McGuigan

Using the quantum Monte Carlo Loop algorithm, we calculate the temperature dependence of the uniform susceptibility, the specific heat, the correlation length, the generalized staggered susceptibility and magnetization of a spin-1/2 chain…

Condensed Matter · Physics 2007-05-23 Beat Frischmuth , Manfred Sigrist , Beat Ammon , Matthias Troyer

A method is proposed to study the finite-temperature behaviour of small magnetic clusters based on solving the stochastic Landau-Lifshitz-Gilbert equations, where the effective magnetic field is calculated directly during the solution of…

Materials Science · Physics 2014-05-23 L. Rózsa , L. Udvardi , L. Szunyogh

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 present numerically exact inchworm quantum Monte Carlo results for the real-time dynamics of the spin polarization in the sub-Ohmic spin-boson model at finite temperature. We focus in particular on the localization and coherence behavior…

Strongly Correlated Electrons · Physics 2026-03-31 Olga Goulko , Hsing-Ta Chen , Moshe Goldstein , Guy Cohen

A recent experiment has observed the antiferromagnetic interaction between the ground state $^1S_0$ and the metastable state $^3P_0$ of $^{171}$Yb atoms, which are fermionic. This observation combined with the use of state-dependent optical…

Quantum Gases · Physics 2019-10-08 Shimpei Goto , Ippei Danshita

Ultracold gases promise access to many-body quantum phenomena at convenient length and time scales. However, it is unclear whether the entropy of these gases is low enough to realize many phenomena relevant to condensed matter physics, such…

Quantum Gases · Physics 2015-07-22 Ryan Olf , Fang Fang , G. Edward Marti , Andrew MacRae , Dan M. Stamper-Kurn

We present extensive Monte Carlo simulations on a two-dimensional XY model with a modified form of interaction potential. Thermodynamic quantities other than energy, specific heat etc (such as magnetization, susceptibility, fourth order…

Statistical Mechanics · Physics 2013-05-24 Suman Sinha

The phenomenon of the finite-temperature induced quantum numbers in fermionic systems with topological defects is analyzed. We consider an ideal gas of twodimensional relativistic massive electrons in the background of a defect in the form…

High Energy Physics - Theory · Physics 2009-11-10 Yurii A. Sitenko , Volodymyr M. Gorkavenko

Critical phenomena at finite temperature underpin a broad range of physical systems, yet their study remains challenging due to computational bottlenecks near phase transitions. Quantum annealers have attracted significant interest as a…

Statistical Mechanics · Physics 2025-07-11 Gianluca Teza , Francesco Campaioli , Marco Avesani , Oren Raz

We develop a finite temperature field theory formalism in any dimension that has the filling fractions as the basic dynamical variables. The formalism efficiently decouples zero temperature dynamics from the quantum statistical sums. The…

High Energy Physics - Theory · Physics 2008-11-26 André LeClair

We investigate the thermodynamic geometry of classical and quantum ideal gases in the relativistic regime, with particular emphasis on the effects of particle mass and spatial dimensionality. Relativistic kinematics is incorporated through…

We have developed a theoretical formalism to introduce temperature as a parameter into the framework of non-relativistic quantum mechanics using the laws of classical thermodynamics and the canonical ensemble scheme of statistical…

Quantum Physics · Physics 2021-03-08 Ashkan Shekaari , Mahmoud Jafari

Finite-temperature diamagnetic properties of doped antiferromagnets as modeled by the two-dimensional t-J model were investigated by numerical studies of small model systems. Two numerical methods were used: the worldline quantum Monte…

Strongly Correlated Electrons · Physics 2007-05-23 D. Veberic , P. Prelovsek , H. G. Evertz

We show how to use the multiple histogram method to combine canonical ensemble Monte Carlo simulations made at different temperatures and densities. The method can be applied to study systems of particles with arbitrary interaction…

Statistical Mechanics · Physics 2009-10-31 A. L. Ferreira , M. A. Barroso

The theoretical model proposed by Einstein to describe the phononic specific heat of solids as a function of temperature consists the very first application of the concept of energy quantization to describe the physical properties of a real…

Statistical Mechanics · Physics 2016-03-23 E. Boscheto , M. de Souza , A. López-Castillo

Finite-temperature, grand-canonical computations based on field theory are widely applied in areas including condensed matter physics, ultracold atomic gas systems, and lattice gauge theory. However, these calculations have computational…

Strongly Correlated Electrons · Physics 2019-10-02 Yuan-Yao He , Hao Shi , Shiwei Zhang