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Polaron and bipolaron formation in the Holstein-Hubbard model with harmonic confinement potential, relevant to quantum dot structures, is investigated in one to three dimensions by means of unbiased quantum Monte Carlo simulations. The…

强关联电子 · 物理学 2007-06-13 Martin Hohenadler , Holger Fehske

We describe a path-integral ground-state quantum Monte Carlo method for light nuclei in continuous space. We show how to efficiently update and sample the paths with spin-isospin dependent and spin-orbit interactions. We apply the method to…

核理论 · 物理学 2022-10-28 Rong Chen , Kevin E. Schmidt

We present a precise solution of the polaron problem by a novel Monte Carlo method. Basing on conventional diagrammatic expansion for the Green function of the polaron, $G({\bf k}, \tau)$, we construct a process of generating continuous…

凝聚态物理 · 物理学 2009-10-31 Nikolai V. Prokof'ev , Boris V. Svistunov

We introduce a Monte-Carlo algorithm for the simulation of charged particles moving in the continuum. Electrostatic interactions are not instantaneous as in conventional approaches, but are mediated by a constrained, diffusing electric…

软凝聚态物质 · 物理学 2009-11-10 Joerg Rottler , A. C. Maggs

We show how lattice Quantum Monte Carlo can be applied to the electronic properties of carbon nanotubes in the presence of strong electron-electron correlations. We employ the path-integral formalism and use methods developed within the…

强关联电子 · 物理学 2016-06-10 Thomas Luu , Timo A. Lähde

We present a method based on the Path Integral Monte Carlo formalism for the calculation of ground-state time correlation functions in quantum systems. The key point of the method is the consideration of time as a complex variable whose…

统计力学 · 物理学 2015-06-24 Riccardo Rota , Joaquim Casulleras , Ferran Mazzanti , Jordi Boronat

We present the first approximation free diagrammatic Monte Carlo study of a lattice polaron interacting with an acoustic phonon branch through the deformation potential. Weak and strong coupling regimes are separated by a self-trapping…

强关联电子 · 物理学 2021-10-19 Thomas Hahn , Naoto Nagaosa , Cesare Franchini , Andrey S. Mishchenko

The path integral of a quantum system with an exact symmetry can be written as a sum of functional integrals each giving the contribution from quantum states with definite symmetry properties. We propose a strategy to compute each of them,…

高能物理 - 格点 · 物理学 2010-11-05 Michele Della Morte , Leonardo Giusti

Bipolaron formation in a two-dimensional lattice with harmonic confinement, representing a simplified model for a quantum dot, is investigated by means of quantum Monte Carlo simulations. This method treats all interactions exactly and…

强关联电子 · 物理学 2007-10-25 Martin Hohenadler , Peter B Littlewood

We extend the continuous-time interaction-expansion quantum Monte Carlo method with respect to measuring observables for fermion-boson lattice models. Using generating functionals, we express expectation values involving boson operators,…

强关联电子 · 物理学 2017-01-04 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

The effectiveness of the recently developed Fixed-Node Quantum Monte Carlo method for lattice fermions, developed by van Leeuwen and co-workers, is tested by applying it to the 1D Kondo lattice, an example of a one-dimensional model with a…

凝聚态物理 · 物理学 2007-05-23 H. J. M. van Bemmel , W. van Saarloos , D. F. B. ten Haaf

We present a continuous-variable photonic quantum algorithm for the Monte Carlo evaluation of multi-dimensional integrals. Our algorithm encodes n-dimensional integration into n+3 modes and can provide a quadratic speedup in runtime…

量子物理 · 物理学 2018-09-10 Patrick Rebentrost , Brajesh Gupt , Thomas R. Bromley

In quantum information theory, there is an explicit mapping between general unitary dynamics and Hermitian ground state eigenvalue problems known as the Feynman-Kitaev Clock. A prominent family of methods for the study of quantum ground…

量子物理 · 物理学 2015-01-14 Jarrod R. McClean , Alán Aspuru-Guzik

We present a novel Path Integral Monte Carlo scheme to solve the Fr\"ohlich polaron model. At intermediate and strong electron-phonon coupling, the polaron self-trapping is properly taken into account at the level of an effective action…

强关联电子 · 物理学 2013-05-29 J. T. Titantah , C. Pierleoni , S. Ciuchi

The directed-loop quantum Monte Carlo method is generalized to the case of retarded interactions. Using the path integral, fermion-boson or spin-boson models are mapped to actions with retarded interactions by analytically integrating out…

强关联电子 · 物理学 2017-09-06 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

We explore correlated electron states in harmonically confined few-electron quantum dots in an external magnetic field by the path-integral Monte Carlo method for a wide range of the field and the Coulomb interaction strength. Using the…

强关联电子 · 物理学 2020-01-07 Csaba Tőke , Tamás Haidekker Galambos

Quantum Monte Carlo (QMC) methods such as Variational Monte Carlo, Diffusion Monte Carlo or Path Integral Monte Carlo are the most accurate and general methods for computing total electronic energies. We will review methods we have…

计算物理 · 物理学 2007-05-23 David Ceperley , Mark Dewing , Carlo Pierleoni

We propose an efficient method for Monte Carlo simulation of quantum lattice models. Unlike most other quantum Monte Carlo methods, a single run of the proposed method yields the free energy and the entropy with high precision for the whole…

统计力学 · 物理学 2009-11-10 Chiaki Yamaguchi , Naoki Kawashima , Yutaka Okabe

We study a lattice bipolaron on a staggered triangular ladder and triangular and hexagonal lattices with both long-range electron-phonon interaction and strong Coulomb repulsion using a novel continuous-time quantum Monte-Carlo (CTQMC)…

超导电性 · 物理学 2009-11-11 J. P. Hague , P. E. Kornilovitch , J. H. Samson , A. S. Alexandrov

Quantum Monte Carlo techniques are employed to study the properties of polarons in an ultracold Fermi gas, at $T= 0,$ and in the unitary regime using both a zero-range model and a square-well potential. For a fixed density, the potential…

量子气体 · 物理学 2021-10-26 Renato Pessoa , S. A. Vitiello , L. A. Peña Ardila