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We show that the functional renormalization group is a numerically cheap method to obtain the low-energy behavior of the Anderson impurity model describing a localized interacting electron coupled to a bath of conduction electrons. Our…

强关联电子 · 物理学 2013-05-23 Simon Streib , Aldo Isidori , Peter Kopietz

We present an efficient protocol leveraging classical computation to support Initial State Preparation for strongly correlated fermionic systems, a critical bottleneck for fault-tolerant quantum simulation. Focusing on nuclear shell model…

量子物理 · 物理学 2026-03-27 Joe Gibbs , Lukasz Cincio , Chandan Sarma , Zoë Holmes , Paul Stevenson

The Anderson model for a magnetic impurity in a one-dimensional quasicrystal is studied using the numerical renormalization group (NRG). The main focus is elucidating the physics at the critical point of the Aubry-Andre (AA) Hamiltonian,…

Kohn-Sham density functional theory (DFT) has long struggled with the accurate description of strongly correlated and open shell systems and improvements have been minor even in the newest hybrid functionals. In this Letter we treat the…

化学物理 · 物理学 2021-04-01 Danny Gibney , Jan-Niklas Boyn , David A. Mazziotti

The electronic and magnetic properties of many strongly-correlated systems are controlled by a limited number of states, located near the Fermi level and well isolated from the rest of the spectrum. This opens a formal way for combining the…

强关联电子 · 物理学 2010-07-15 I. V. Solovyev

Quantum impurity models describe interactions between some local degrees of freedom and a continuum of non-interacting fermionic or bosonic states. The investigation of quantum impurity models is a starting point towards the understanding…

强关联电子 · 物理学 2008-09-19 O. Legeza , C. P. Moca , A. I. Toth , I. Weymann , G. Zarand

Kohn-Sham density functional theory calculations using conventional diagonalization based methods become increasingly expensive as temperature increases due to the need to compute increasing numbers of partially occupied states. We present…

化学物理 · 物理学 2022-03-23 Qimen Xu , Xin Jing , Boqin Zhang , John E. Pask , Phanish Suryanarayana

We describe a new formulation of the functional renormalization group (RG) for interacting fermions within a Wilsonian momentum-shell approach. We show that the Luttinger-Ward functional is a fixed point of the RG, and derive the infinite…

强关联电子 · 物理学 2007-05-23 N. Dupuis

We develop a comprehensive Renormalization Group (RG) approach to criticality in open Floquet systems, where dissipation enables the system to reach a well-defined Floquet steady state of finite entropy, and all observables are synchronized…

统计力学 · 物理学 2020-10-13 Steven Mathey , Sebastian Diehl

The Schwinger-Keldysh functional renormalization group (fRG) developed in [1] is employed to investigate critical dynamics related to a second-order phase transition. The effective action of model A is expanded to the order of…

高能物理 - 唯象学 · 物理学 2023-12-12 Yong-rui Chen , Yang-yang Tan , Wei-jie Fu

Density matrix embedding theory (DMET) is a powerful quantum embedding method for solving strongly correlated quantum systems. Theoretically, the performance of a quantum embedding method should be limited by the computational cost of the…

计算物理 · 物理学 2020-08-19 Xiaojie Wu , Michael Lindsey , Tiangang Zhou , Yu Tong , Lin Lin

We present an accurate local density-functional for electronic-structure calculations within the density functional theory (DFT). The functional is derived by analyzing the structure of the standard perturbative expansion of the correlation…

材料科学 · 物理学 2024-11-28 Mario Benites , Angel Rosado , Efstratios Manousakis

Quantum systems have shown great promise for precision metrology thanks to advances in their control. This has allowed not only the sensitive estimation of external parameters but also the reconstruction of their temporal profile. In…

量子物理 · 物理学 2014-03-20 Easwar Magesan , Alexandre Cooper , Honam Yum , Paola Cappellaro

By considering correlations between classical orbits we derive semiclassical expressions for the decay of the quantum fidelity amplitude for classically chaotic quantum systems, as well as for its squared modulus, the fidelity or Loschmidt…

介观与纳米尺度物理 · 物理学 2013-05-29 Boris Gutkin , Daniel Waltner , Martha Gutierrez , Jack Kuipers , Klaus Richter

The self-energy method for quantum impurity models expresses the correlation part of the self-energy in terms of the ratio of two Green's functions and allows for a more accurate calculation of equilibrium spectral functions than is…

强关联电子 · 物理学 2021-11-24 H. T. M. Nghiem , T. A. Costi

We present a comprehensive and self-contained framework for the efficient classical simulation of Clifford circuits acting on $d$-dimensional qudits, including realistic Pauli/Weyl noise via stochastic simulation. Our approach uses the…

量子物理 · 物理学 2026-03-26 Nina Brandl , Mykyta Cherniak , Johannes Kofler , Richard Kueng

The realization of scalable fault-tolerant quantum computing is expected to hinge on quantum error-correcting codes. In the quest for more efficient quantum fault tolerance, a critical code parameter is the weight of measurements that…

量子物理 · 物理学 2025-02-21 Austin Yubo He , Zi-Wen Liu

The gravitational asymptotic safety program envisions a high-energy completion of the gravitational interactions by an interacting renormalization group fixed point, the Reuter fixed point. The primary tool for investigating this scenario…

高能物理 - 理论 · 物理学 2023-03-01 Frank Saueressig

The numerical renormalization group method is used to investigate zero temperature phase transitions in quantum impurity systems, in particular in the particle-hole symmetric soft-gap Anderson model. The model displays two stable phases…

强关联电子 · 物理学 2007-05-23 Hyun-Jung Lee , Ralf Bulla , Matthias Vojta

We apply a recently introduced hybridization-flow functional renormalization group scheme for Anderson-like impurity models as an impurity solver in a dynamical mean-field theory (DMFT) approach to lattice Hubbard models. We present how…

强关联电子 · 物理学 2013-11-21 Michael Kinza , Carsten Honerkamp
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