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We present a new continuous time solver for quantum impurity models such as those relevant to dynamical mean field theory. It is based on a stochastic sampling of a perturbation expansion in the impurity-bath hybridization parameter.…

强关联电子 · 物理学 2009-11-11 Philipp Werner , Armin Comanac , Luca De Medici , Matthias Troyer , Andrew J. Millis

Strongly correlated quantum impurity problems appear in a wide variety of contexts ranging from nanoscience and surface physics to material science and the theory of strongly correlated lattice models, where they appear as auxiliary systems…

强关联电子 · 物理学 2013-02-19 Hartmut Hafermann , Philipp Werner , Emanuel Gull

We present a continuous-time Monte Carlo method for quantum impurity models, which combines a weak-coupling expansion with an auxiliary-field decomposition. The method is considerably more efficient than Hirsch-Fye and free of time…

强关联电子 · 物理学 2008-06-02 Emanuel Gull , Philipp Werner , Olivier Parcollet , Matthias Troyer

Near-term quantum processors are limited in terms of the number of qubits and gates they can afford. They nevertheless give unprecedented access to programmable quantum systems that can efficiently, although imperfectly, simulate quantum…

强关联电子 · 物理学 2025-11-25 Thomas Ayral

A recently developed continuous time solver based on an expansion in hybridization about an exactly solved local limit is reformulated in a manner appropriate for general classes of quantum impurity models including spin exchange and pair…

强关联电子 · 物理学 2009-11-11 Philipp Werner , Andrew J. Millis

We describe an open-source implementation of the continuous-time hybridization-expansion quantum Monte Carlo method for impurity models with general instantaneous two-body interactions and complex hybridization functions. The code is built…

强关联电子 · 物理学 2017-05-02 Hiroshi Shinaoka , Emanuel Gull , Philipp Werner

Since the inception of the dynamical mean-field theory, numerous numerical studies have relied on the Hirsch-Fye quantum Monte Carlo (HF-QMC) method for solving the associated impurity problem. Recently developed continuous-time algorithms…

强关联电子 · 物理学 2011-11-10 N. Blümer

We extend the continuous-time hybridization expansion solver to a general form, where the hybridization function and retarded interaction are treated on equal footing. Correlation functions can now be directly obtained via functional…

强关联电子 · 物理学 2025-04-04 Lei Gu , Jia Luo , Ruqian Wu , Guoping Zhao

A versatile and efficient variational approach is developed to solve in- and out-of-equilibrium problems of generic quantum spin-impurity systems. Employing the discrete symmetry hidden in spin-impurity models, we present a new canonical…

强关联电子 · 物理学 2018-07-13 Yuto Ashida , Tao Shi , Mari Carmen Bañuls , J. Ignacio Cirac , Eugene Demler

Quantum impurity models describe an atom or molecule embedded in a host material with which it can exchange electrons. They are basic to nanoscience as representations of quantum dots and molecular conductors and play an increasingly…

A nonperturbative quantum impurity solver is proposed based on a formally exact hierarchical equations of motion (HEOM) formalism for open quantum systems. It leads to quantitatively accurate evaluation of physical properties of strongly…

强关联电子 · 物理学 2014-08-04 Dong Hou , Rulin Wang , Xiao Zheng , NingHua Tong , JianHua Wei , YiJing Yan

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

Quantum embedding theories provide a feasible route for obtaining quantitative descriptions of correlated materials. However, a critical challenge is solving an effective impurity model of correlated orbitals embedded in an electron bath.…

强关联电子 · 物理学 2021-01-27 Hiroshi Shinaoka , Yuki Nagai

We present a new impurity solver for dynamical mean-field theory based on imaginary-time evolution of matrix product states. This converges the self-consistency loop on the imaginary-frequency axis and obtains real-frequency information in…

强关联电子 · 物理学 2015-11-30 F. Alexander Wolf , Ara Go , Ian P. McCulloch , Andrew J. Millis , Ulrich Schollwöck

Since the first investigation of the Hubbard model in the limit of infinite dimensions by Metzner and Vollhardt, dynamical mean-field theory (DMFT) has become a very powerful tool for the investigation of lattice models of correlated…

强关联电子 · 物理学 2007-05-23 Ralf Bulla

An emergent and promising tensor-network-based impurity solver is to represent the path integral as a matrix product state, where the bath is analytically integrated out using Feynman-Vernon influence functional. Here we present an approach…

强关联电子 · 物理学 2024-04-04 Ruofan Chen , Xiansong Xu , Chu Guo

We introduce a continuous time model of many-body quantum dynamics based on infinitesimal random unitary operations, combined with projective measurements. We consider purification dynamics in this model, where the system is initialized in…

量子物理 · 物理学 2024-01-29 Sebastian Leontica , Max McGinley

In the present paper, we present an efficient continuous-time quantum Monte Carlo impurity solver with high acceptance rate at low temperature for multi-orbital quantum impurity models with general interaction. In this hybridization…

强关联电子 · 物理学 2019-02-20 Changming Yue , Yilin Wang , Junya Otsuki , Xi Dai

The solution of a generalized impurity model lies at the heart of electronic structure calculations with dynamical mean-field theory (DMFT). In the strongly-correlated regime, the method of choice for solving the impurity model is the…

强关联电子 · 物理学 2014-09-23 P. Sémon , Chuck-Hou Yee , Kristjan Haule , A. -M. S. Tremblay

An emergent numerical approach to solve quantum impurity problems is to encode the impurity path integral as a matrix product state. For time-dependent problems, the cost of this approach generally scales with the evolution time. Here we…

强关联电子 · 物理学 2025-09-23 Zhijie Sun , Ruofan Chen , Zhenyu Li , Chu Guo
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