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We present a novel quantum Monte Carlo method based on a path integral in Fock space, which allows to compute finite-temperature properties of a many-body nuclear system with a monopole pairing interaction in the canonical ensemble. It…

Nuclear Theory · Physics 2009-01-23 N. J. Cerf

We present measurements of the cooling length $\ell_E$ for hot electrons in a GaAs-based high mobility two-dimensional electron gas (2DEG). The thermal measurements are performed on a long 60 $\mu$m-wide channel, which is Joule-heated at…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 A. K. Jain , J. T. Nicholls , S. N. Holmes , G. Jaliel , C. Chen , I. Farrer , D. A. Ritchie

We have used quantum Monte Carlo methods to calculate the zero-temperature phase diagram of the two-dimensional homogeneous electron gas. We find a transition from a paramagnetic fluid to an antiferromagnetic triangular Wigner crystal at…

Mesoscale and Nanoscale Physics · Physics 2010-03-02 N. D. Drummond , R. J. Needs

We study the electroweak phase transition by lattice simulations of an effective 3-dimensional theory, for a Higgs mass of about $70$ GeV. Exploiting a variant of the equal weight criterion of phase equilibrium, we obtain transition…

High Energy Physics - Lattice · Physics 2009-10-28 M. Guertler , E. -M. Ilgenfritz , J. Kripfganz , H. Perlt , A. Schiller

The energy spectrum for the three dimensional Bose gas in Bose-Einstein Condensation phase is calculated with Modified Hartree-Fock-Bogoliubov theory, which is both conserving and gapless. From Improved $\Phi -$% derivable theory, the…

Quantum Gases · Physics 2013-09-04 Ya-Hui Zhang , Dingping Li

We calculate the density profiles and density correlation functions of the one-dimensional Bose gas in a harmonic trap, using the exact finite-temperature solutions for the uniform case, and applying a local density approximation. The…

Statistical Mechanics · Physics 2009-11-11 K. V. Kheruntsyan , D. M. Gangardt , P. D. Drummond , G. V. Shlyapnikov

We study a one-dimensional two-component Fermi gas in a harmonic trapping potential using finite temperature lattice quantum Monte Carlo methods. We are able to compute observables in the canonical ensemble via an efficient projective…

Quantum Gases · Physics 2023-09-14 Felipe Attanasio , Marc Bauer , Renzo Kapust , Jan M. Pawlowski

We generalize the Ensemble Geometric Phase (EGP), recently introduced to classify the topology of density matrices, to finite-temperature states of interacting systems in one spatial dimension (1D). This includes cases where the gapped…

Strongly Correlated Electrons · Physics 2021-12-20 Razmik Unanyan , Maximilian Kiefer-Emmanouilidis , Michael Fleischhauer

The heat capacity of iron isotopes is calculated within the interacting shell model using the complete $(pf+0g_{9/2})$-shell. We identify a signature of the pairing transition in the heat capacity that is correlated with the suppression of…

Nuclear Theory · Physics 2009-11-06 S. Liu , Y. Alhassid

Using the Singwi-Tosi-Land-Sjolander theory we have studied the many-body effects in the two-dimensional electron gas with arbitrary polarization at finite temperatures. We have calculated the structure factors, pair correlation functions,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Nguyen Quoc Khanh

An exchange correlation energy functional involving fractional power of the one-body reduced density matrix [Phys. Rev. B {\bf 78}, 201103 (2008)] is applied to finite systems and to the homogeneous electron gas. The performance of the…

Strongly Correlated Electrons · Physics 2015-05-13 N. N. Lathiotakis , S. Sharma , J. K. Dewhurst , F. Eich , M. A. L. Marques , E. K. U. Gross

We discuss and clarify a simple and accurate interpolation scheme for the spin-resolved electron static structure factor (and corresponding pair correlation function) of the 3D unpolarized homogeneous electron gas which, along with some…

Condensed Matter · Physics 2009-10-31 Paola Gori-Giorgi , Francesco Sacchetti , Giovanni B. Bachelet

We perform numerically exact determinant quantum Monte Carlo simulations of the Hubbard model and analyze pairing tendencies by evaluating correlation functions at the imaginary-time midpoint ($\tau=\beta/2$), which suppresses…

Superconductivity · Physics 2025-10-21 Wen O. Wang , Thomas P. Devereaux

We combine the recent $\eta-$ensemble path integral Monte Carlo (PIMC) approach to the free energy [T.~Dornheim \textit{et al.}, \textit{Phys.~Rev.~B} \textbf{111}, L041114 (2025)] with a recent fictitious partition function technique based…

We study the finite temperature electroweak phase transition with lattice perturbation theory and Monte Carlo techniques. Dimensional reduction is used to approximate the full four-dimensional SU(2) + a fundamental doublet Higgs theory by…

High Energy Physics - Phenomenology · Physics 2009-10-22 K. Kajantie , K. Rummukainen , M. Shaposhnikov

We study the system of a dilute gas of fermions in 3-dimensions, with attractive interactions tuned to the unitarity point, using the non-perturbative Restricted Path Integral Monte Carlo (R-PIMC) method. The pairing and superfluid…

Statistical Mechanics · Physics 2009-11-11 Vamsi K. Akkineni , D. M. Ceperley , Nandini Trivedi

By combining variational Monte Carlo (VMC) and complete-basis-set limit Hartree-Fock (HF) calculations, we have obtained near-exact correlation energies for low-density same-spin electrons on a three-dimensional sphere (3-sphere), i.e.~the…

Chemical Physics · Physics 2015-08-27 Davids Agboola , Anneke L. Knol , Peter M. W. Gill , Pierre-François Loos

The phase transition temperature of the homogeneous and dilute Bose gas in D-dimensions ($2 \le D \le 3$) is calculated by a mean field-based statistical method. The shift of the phase transition temperature is written up to the leading…

Statistical Mechanics · Physics 2007-12-11 Sang-Hoon Kim

This dissertation is devoted to the study of thermodynamics for quantum gauge theories. The poor convergence of quantum field theory at finite temperature has been the main obstacle in the practical applications of thermal QCD for decades.…

High Energy Physics - Phenomenology · Physics 2011-05-09 Nan Su

The effective electron-electron interaction in the electron gas depends on both the density and spin local field factors. Variational Diagrammatic Quantum Monte Carlo calculations of the spin local field factor are reported and used to…

Quantum Gases · Physics 2021-01-27 Carl A. Kukkonen , Kun Chen