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We introduce a machine-learning density-functional-theory formalism for the spinless Hubbard model in one dimension at both zero and finite temperature. In the zero-temperature case this establishes a one-to-one relation between the site…

Strongly Correlated Electrons · Physics 2021-06-16 James Nelson , Rajarshi Tiwari , Stefano Sanvito

We return to the question of how the choice of stabilizer generators affects the preservation of information on structures whose degenerate ground state encodes a classical redundancy code. Controlled-not gates are used to transform the…

Quantum Physics · Physics 2015-05-19 Yu Tomita , C. Ricardo Viteri , Kenneth R. Brown

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 present an algebraic, nondiagrammatic derivation of finite-temperature second-order many-body perturbation theory [FT-MBPT(2)], using techniques and concepts accessible to theoretical chemical physicists. We give explicit expressions not…

Chemical Physics · Physics 2016-09-05 Robin Santra , Jochen Schirmer

Building upon the works of Bach, Breteaux, and Tzaneteas (2013) and of Bach and Hach (2022), the Bogolubov-Hartree-Fock (BHF) energy of the Pauli-Fierz Hamiltonian is investigated. Upper and lower bounds on the BHF energy are derived, which…

Mathematical Physics · Physics 2025-07-25 Matthias Herdzik

The holographic product formula is used to determine the general form taken by holographic spectral functions in the near-extremal hydrodynamic regime, with energy $\omega$, momentum $k$ and temperature $T$ much smaller than a hard scale…

High Energy Physics - Theory · Physics 2026-02-17 Edwan Préau

The temperature dependence of the symmetry energy and the symmetry free energy coefficients of atomic nuclei is investigated in a finite temperature Thomas-Fermi framework employing the subtraction procedure. A substantial decrement in the…

Nuclear Theory · Physics 2015-06-04 J. N. De , S. K. Samaddar

We introduce a novel energy functional for ground-state electronic-structure calculations. Its fundamental variables are the natural spin-orbitals of the implied singlet many-body wave function and their joint occupation probabilities. The…

Chemical Physics · Physics 2015-06-23 Ralph Gebauer , Morrel H. Cohen , Roberto Car

A fully self-consistent microscopic framework for evaluation of nuclear weak-interaction rates at finite temperature is introduced, based on Skyrme functionals. The single-nucleon basis and the corresponding thermal occupation factors of…

Nuclear Theory · Physics 2010-02-26 N. Paar , G. Colo , E. Khan , D. Vretenar

Self-consistent Hartree-Fock approximation combined with solutions of the Bethe-Salpeter equation offers a powerful tool for studies of strong correlation effects arising in condensed matter models, nuclear physics, quantum field theories,…

Strongly Correlated Electrons · Physics 2024-02-06 I. S. Tupitsyn , N. V. Prokof'ev

Hamiltonian mechanics can be used to constrain temperature simultaneously with energy. We illustrate the interesting situations that develop when two different temperatures are imposed within a composite Hamiltonian system. The model…

Statistical Mechanics · Physics 2015-06-15 Wm. G. Hoover , Carol G. Hoover

The spectral functions of tJ and tJ_{XY} models in the limit of J/t-> 0 and at finite temperatures T>>t are calculated using the spin-charge factorized wave function. We find that the Luttinger-liquid like scaling behavior for a finite…

Strongly Correlated Electrons · Physics 2009-10-30 Karlo Penc , Mohammed Serhan

The Hartree-Fock equation which is the Euler-Lagrange equation corresponding to the Hartree-Fock energy functional is used in many-electron problems. Since the Hartree-Fock equation is a system of nonlinear eigenvalue problems, the study of…

Analysis of PDEs · Mathematics 2023-06-23 Sohei Ashida

We present a novel treatment of finite temperature properties of the one-dimensional Hubbard model. Our approach is based on a Trotter-Suzuki mapping utilizing Shastry's classical model and a subsequent investigation of the quantum transfer…

Strongly Correlated Electrons · Physics 2015-06-25 G. Juttner , A. Klumper , J. Suzuki

We investigate the contributions of finite-temperature magnetic fluctuations to the thermodynamic properties of bcc Fe as a function of pressure. First, we apply a tight-binding total-energy model parameterized to first-principles…

Materials Science · Physics 2010-07-21 Xianwei Sha* , R. E. Cohen

The Monte Carlo (MC) Hamiltonian is a new stochastic method to solve many-body problems. The MC Hamiltonian represents an effective Hamiltonian in a finite energy window. We construct it from the classical action via Monte Carlo with…

High Energy Physics - Lattice · Physics 2011-04-20 H. Kröger , X. Q. Luo , K. J. M. Moriarty

We optimize finite-time stochastic heat engines with a periodically scaled Hamiltonian under experimentally motivated constraints on the bath temperature $T$ and the scaling parameter $\lambda$. We present a general geometric proof that…

Statistical Mechanics · Physics 2022-11-28 Zhuolin Ye , Federico Cerisola , Paolo Abiuso , Janet Anders , Martí Perarnau-Llobet , Viktor Holubec

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

We present a scheme for robust finite temperature quantum simulation of stabilizer Hamiltonians. The scheme is designed for realization in a physical system consisting of a finite set of neutral atoms trapped in an addressable optical…

Quantum Physics · Physics 2015-06-04 Kevin C. Young , Mohan Sarovar , Jon Aytac , C. M. Herdman , K. Birgitta Whaley

We consider the non-relativistic Hartree model in the gravitational case, i.e. with attractive Coulomb-Newton interaction. For a given mass, we construct stationary states with non-zero temperature by minimizing the corresponding free…

Analysis of PDEs · Mathematics 2015-05-19 Gonca L. Aki , Jean Dolbeault , Christof Sparber