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We present a very efficient solver for the general Anderson impurity problem. It is based on the perturbation around a solution obtained from exact diagonalization using a small number of bath sites. We formulate a perturbation theory which…

Numerical results for ground state and excited state properties (energies, double occupancies, and Matsubara-axis self energies) of the single-orbital Hubbard model on a two-dimensional square lattice are presented, in order to provide an…

Impurity solvers play an essential role in the numerical investigation of strongly correlated electrons systems within the "dynamical mean field" approximation. Recently, a new class of continuous-time solvers has been developed, based on a…

强关联电子 · 物理学 2011-11-09 Emanuel Gull , Philipp Werner , Andrew J. Millis , Matthias Troyer

Bipartite entanglement entropy is one of the most useful characterizations of universal properties in a many-body quantum system. Far from equilibrium, there exist two highly effective theories describing its dynamics -- the quasiparticle…

统计力学 · 物理学 2025-08-20 Shachar Fraenkel , Colin Rylands

We develop a relativistic framework of integral quantization applied to the motion of spinless particles in the four-dimensional Minkowski spacetime. The proposed scheme is based on coherent states generated by the action of the…

广义相对论与量子宇宙学 · 物理学 2025-05-02 Aleksandra Pȩdrak , Andrzej Góźdź , Włodzimierz Piechocki , Patryk Mach , Adam Cieślik

A detailed description is provided of a new Worm Algorithm, enabling the accurate computation of thermodynamic properties of quantum many-body systems in continuous space, at finite temperature. The algorithm is formulated within the…

计算物理 · 物理学 2009-11-11 M. Boninsegni , N. V. Prokof'ev , B. V. Svistunov

In this paper we explore the use of an equation of motion decoupling method as an impurity solver to be used in conjunction with the dynamical mean field self-consistency condition for the solution of lattice models. We benchmark the…

强关联电子 · 物理学 2007-05-23 Harald O. Jeschke , Gabriel Kotliar

We discuss a general setup which allows the study of the perturbation theory of an arbitrary, locally harmonic 1D quantum mechanical potential as well as its multi-variable (many-body) generalization. The latter may form a prototype for…

高能物理 - 理论 · 物理学 2016-09-08 Tin Sulejmanpasic , Mithat Ünsal

A Monte Carlo sampling of diagrammatic corrections to the non-crossing approximation is shown to provide numerically exact estimates of the long-time dynamics and steady state properties of nonequilibrium quantum impurity models. This…

强关联电子 · 物理学 2012-12-21 Emanuel Gull , David R. Reichman , Andrew J. Millis

An impurity solver for the dynamical mean field (DMFT) study of the Mott insulators is proposed, which is based on the second order perturbation of the hybridization function. After carefully benchmarking it with Quantum Monte Carlo results…

强关联电子 · 物理学 2009-11-10 Jia Ning Zhuang , Qing Mei Liu , Zhong Fang , Xi Dai

The quantum measurement problem, understanding why a unique outcome is obtained in each individual experiment, is tackled by solving models. After an introduction we review the many dynamical models proposed over the years. A flexible and…

量子物理 · 物理学 2015-05-28 Armen E. Allahverdyan , Roger Balian , Theo M. Nieuwenhuizen

We analyze the spectral function of the single-impurity two-terminal Anderson model at finite voltage using the recently developed diagrammatic quantum Monte Carlo technique as well as perturbation theory. In the (particle-hole-)symmetric…

强关联电子 · 物理学 2011-02-10 L. Muehlbacher , D. F. Urban , A. Komnik

We present an exact quantum Monte Carlo method for spin systems coupled to dissipative bosonic baths which makes use of nonlocal wormhole updates to simulate the retarded spin-flip interactions originating from an off-diagonal spin-boson…

强关联电子 · 物理学 2022-05-17 Manuel Weber

We develop theoretical methods for the implementation of creation and destruction operators in separate registers of a quantum computer, allowing for a transparent and dynamical creation and destruction of particle modes in second…

高能物理 - 理论 · 物理学 2024-06-12 Juan José Gálvez-Viruet , Felipe J. Llanes-Estrada

Computing accurate yet efficient approximations to the solutions of the electronic Schr\"odinger equation has been a paramount challenge of computational chemistry for decades. Quantum Monte Carlo methods are a promising avenue of…

化学物理 · 物理学 2023-09-25 Zeno Schätzle , Bernát Szabó , Matĕj Mezera , Jan Hermann , Frank Noé

In this paper, we solve quantum many-body problem by propagating ensembles of trajectories and guiding waves in physical space. We introduce the 'effective potential' correction within the recently proposed time-dependent quantum Monte…

量子物理 · 物理学 2025-02-05 Ivan P. Christov

The negative sign problem in quantum Monte Carlo (QMC) simulations of cluster impurity problems is the major bottleneck in cluster dynamical mean field calculations. In this paper we systematically investigate the dependence of the sign…

强关联电子 · 物理学 2015-11-18 Hiroshi Shinaoka , Yusuke Nomura , Silke Biermann , Matthias Troyer , Philipp Werner

What interactions are sufficient to simulate arbitrary quantum dynamics in a composite quantum system? Dodd et al. (quant-ph/0106064) provided a partial solution to this problem in the form of an efficient algorithm to simulate any desired…

There is great interest in numerical relativity simulations involving matter due to the likelihood that binary compact objects involving neutron stars will be detected by gravitational wave observatories in the coming years, as well as to…

广义相对论与量子宇宙学 · 物理学 2012-06-06 William E. East , Frans Pretorius , Branson C. Stephens

Quantum Monte Carlo simulations offer an unbiased means to study the static and dynamic properties of quantum critical systems, while quantum field theory provides direct analytical results. We study three dimensional, critical quantum…

强关联电子 · 物理学 2017-11-15 H. D. Scammell , Y. Kharkov , Yan Qi Qin , Zi Yang Meng , B. Normand , O. P. Sushkov