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We study an extended SU(N) single-impurity Kondo model in which the impurity spin is described by a combination of Abrikosov fermions and Schwinger bosons. Our aim is to describe both the quasiparticle-like excitations and the locally…

Strongly Correlated Electrons · Physics 2007-05-23 M. Lavagna , A. Jerez , D. Bensimon

Quantum Brownian motion plays a fundamental role in many areas of modern physics. In the path-integral formulation, the environmental quantum fluctuations driving the system dynamics can be characterized by auxiliary stochastic fields. For…

Statistical Mechanics · Physics 2019-08-07 Lu Han , Vladimir Chernyak , Yun-An Yan , Xiao Zheng , YiJing Yan

Discovery of novel spin-orbital entangled quantum ground states paves an important avenue for controllable quantum materials via unique couplings to the lattice and other external perturbations. In this work, motivated by recent experiments…

Strongly Correlated Electrons · Physics 2020-03-11 Adarsh S. Patri , Ilia Khait , Yong Baek Kim

We revisit the physics of a Kondo impurity coupled to a fermionic host with a diverging power-law density of states near the Fermi level, $\rho(\omega) \sim |\omega|^r$, with exponent $-1<r<0$. Using the analytical understanding of several…

Strongly Correlated Electrons · Physics 2013-11-13 Andrew K. Mitchell , Matthias Vojta , Ralf Bulla , Lars Fritz

We define fermionic convolution and demonstrate its utility in characterizing fermionic non-Gaussian components, which are essential to the computational advantage of fermionic systems. Using fermionic convolution, we propose an efficient…

Quantum Physics · Physics 2024-10-10 Xingjian Lyu , Kaifeng Bu

Zombie States are a recently introduced formalism to describe coupled coherent Fermionic states which address the Fermionic sign problem in a computationally tractable manner. Previously it has been shown that Zombie States with fractional…

Computational Physics · Physics 2022-05-18 Oliver A. Bramley , Timothy J. H. Hele , Dmitrii V. Shalashilin

The Fermi-Hubbard model is a plausible target to be solved by a quantum computer using the variational quantum eigensolver algorithm. However, problem sizes beyond the reach of classical exact diagonalisation are also beyond the reach of…

Quantum Physics · Physics 2020-06-22 Ashley Montanaro , Stasja Stanisic

Numerical simulation of continuous variable quantum state preparation is a necessary tool for optimization of existing quantum information processing protocols. A powerful instrument for such simulation is the numerical computation in the…

Quantum Physics · Physics 2022-10-10 Jan Provazník , Radim Filip , Petr Marek

We examine an analytic variational inference scheme for the Gaussian Process State Space Model (GPSSM) - a probabilistic model for system identification and time-series modelling. Our approach performs variational inference over both the…

Machine Learning · Statistics 2018-12-11 Alessandro Davide Ialongo , Mark van der Wilk , Carl Edward Rasmussen

An extended Anderson model, including screening channels (non-hybridizing, but interacting with the local orbit), is studied within the Anderson-Yuval approach, originally devised for the single-channel Kondo problem. By comparing the…

Condensed Matter · Physics 2009-10-28 Yu-Liang Liu , Zhao-Bin Su , Lu Yu

Quantum impurity models are the prototypical examples of quantum many-body dynamics which manifests in their spectral and transport properties. Single channel Anderson(and Kondo model) leads to the Fermi liquid ground state in the strong…

Strongly Correlated Electrons · Physics 2017-11-30 Rukhsan Ul Haq , Anirban Sharma

A novel large-N limit of the multichannel Kondo model is introduced, for representations of the impurity spin described by Schwinger bosons. Three cases are found, associated with underscreening, overscreening and exact Kondo screening of…

Strongly Correlated Electrons · Physics 2009-10-30 Olivier Parcollet , Antoine Georges

We present exact solutions for the non-equilibrium steady states of a class of dissipative spinless fermionic systems with arbitrary Hamiltonian pairing terms, global charging energy interactions, and uniform single particle loss on every…

Quantum Physics · Physics 2026-05-12 Andrew Lingenfelter , Aashish A. Clerk

The Kondo problem, which describes the interaction of a spin $s$ magnetic impurity with a free Fermi gas, is a classic example of strongly coupled physics. Historically, the problem has been solved by Wilson's numerical renormalization…

Strongly Correlated Electrons · Physics 2024-08-26 Abijith Krishnan , Max A. Metlitski

We have derived a variational principle that defines the nonequilibrium steady-state transport across a correlated impurity mimicking, e.g., a quantum dot coupled to biased leads. This variational principle has been specialized to a…

Strongly Correlated Electrons · Physics 2011-02-15 Nicola Lanatà

We introduce and apply a numerically exact method for investigating the real-time dissipative dynamics of quantum impurities embedded in a macroscopic environment beyond the weak-coupling limit. We focus on the spin-boson Hamiltonian that…

Strongly Correlated Electrons · Physics 2013-02-04 Peter P. Orth , Adilet Imambekov , Karyn Le Hur

We review existing classical simulation methods for performing fermionic Gaussian operations and develop new methods to address the gap by adhering to the fundamental theoretical framework established by Bravyi [Quantum Info. Comput. 5, 216…

Quantum Physics · Physics 2026-03-24 Yinan Fang , Hyesung Choi , Minchul Lee , Mahn-Soo Choi

We investigate a stochastic approach to non-equilibrium quantum spin systems based on recent insights linking quantum and classical dynamics. Exploiting a sequence of exact transformations, quantum expectation values can be recast as…

Statistical Mechanics · Physics 2019-01-31 S. De Nicola , B. Doyon , M. J. Bhaseen

We discuss the two-channel Kondo problem with a pseudogap density of states, $\rho(\w)\propto|\w|^r$, of the bath fermions. Combining both analytical and numerical renormalization group techniques, we characterize the impurity phases and…

Strongly Correlated Electrons · Physics 2015-05-30 Imke Schneider , Lars Fritz , Frithjof B. Anders , Adel Benlagra , Matthias Vojta

We introduce and study a simplification of the symmetric single-impurity Kondo model. In the Ising-Kondo model, host electrons scatter off a single magnetic impurity at the origin whose spin orientation is dynamically conserved. This…

Strongly Correlated Electrons · Physics 2021-02-24 K. Bauerbach , Z. M. M. Mahmoud , F. Gebhard