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The quantum Monte Carlo algorithm is arguably one of the most powerful computational many-body methods, enabling accurate calculation of many properties in interacting quantum systems. In the presence of the so-called sign problem, the…

Strongly Correlated Electrons · Physics 2018-02-23 Chia-Chen Chang , Miguel A. Morales

Recent advances in the field of strongly correlated electron systems allow to access the entanglement properties of interacting fermionic models, by means of Monte Carlo simulations. We briefly review the techniques used in this context to…

Statistical Mechanics · Physics 2019-04-12 Francesco Parisen Toldin , Fakher F. Assaad

Entanglement entropy is a fundamental measure of quantum entanglement for pure states, but for large-scale many-body systems, R\'{e}nyi entanglement entropy is much more computationally accessible. For mixed states, logarithmic negativity…

Strongly Correlated Electrons · Physics 2025-08-14 Fo-Hong Wang , Xiao Yan Xu

In quantum simulation, many-body phenomena are probed in controllable quantum systems. Recently, simulation of Bose-Hubbard Hamiltonians using cold atoms revealed previously hidden local correlations. However, fermionic many-body Hubbard…

Mesoscale and Nanoscale Physics · Physics 2016-04-26 J. Salfi , J. A. Mol , R. Rahman , G. Klimeck , M. Y. Simmons , L. C. L. Hollenberg , S. Rogge

The development and spread of entanglement in complex quantum systems is central to exploring many-body phenomena out of equilibrium. Measuring entanglement dynamics can shed light on information scrambling and thermalisation, namely on…

Current nonequilibrium Monte Carlo methods suffer from a dynamical sign problem that makes simulating real-time dynamics for long times exponentially hard. We propose a new `Inchworm Algorithm', based on iteratively reusing information…

Strongly Correlated Electrons · Physics 2016-03-25 Guy Cohen , Emanuel Gull , David. R. Reichman , Andrew J. Millis

The law of statistical physics dictates that generic closed quantum many-body systems initialized in nonequilibrium will thermalize under their own dynamics. However, the emergence of many-body localization (MBL) owing to the interplay…

We compute high-resolution angle-resolved photoemission spectroscopy of the Hubbard model using the unbiased determinant quantum Monte Carlo algorithm, revealing an asymmetry between electron and hole doping. Electron doping exhibits more…

Strongly Correlated Electrons · Physics 2025-06-23 Wen O. Wang , Edwin W. Huang , Brian Moritz , Thomas P. Devereaux

Quantum Monte Carlo is one of the most promising approaches for dealing with large-scale quantum many-body systems. It has played an extremely important role in understanding strongly correlated physics. However, two fundamental problems,…

Strongly Correlated Electrons · Physics 2026-03-03 Zhiyan Wang , Zenan Liu , Bin-Bin Mao , Zhe Wang , Zheng Yan

The evolution of a quantum system subject to measurements can be described by stochastic quantum trajectories of pure states. Instead, the ensemble average over trajectories is a mixed state evolving via a master equation. Both descriptions…

Quantum Physics · Physics 2024-02-22 Christian Carisch , Alessandro Romito , Oded Zilberberg

Monte Carlo simulations away from half-filling suffer from a sign problem that can be reduced by deforming the contour of integration. Such a transformation, which induces a Jacobian determinant in the Boltzmann weight, can be implemented…

Computational Physics · Physics 2022-09-30 Marcel Rodekamp , Evan Berkowitz , Christoph Gäntgen , Stefan Krieg , Thomas Luu , Johann Ostmeyer

The tensor network algorithm, a family of prevalent numerical methods for quantum many-body problems, aptly captures the entanglement properties intrinsic to quantum systems, enabling precise representation of quantum states. However, its…

Strongly Correlated Electrons · Physics 2024-06-26 He-Yu Lin , Yibin Guo , Rong-Qiang He , Z. Y. Xie , Zhong-Yi Lu

A dispersive medium becomes entangled with zero-point fluctuations in the vacuum. We consider an arbitrary array of material bodies weakly interacting with a quantum field and compute the quantum mutual information between them. It is shown…

Quantum Physics · Physics 2015-06-08 Mohammad F. Maghrebi , Homer Reid

We investigate entanglement properties at quantum phase transitions of an integrable extended Hubbard model in the momentum space representation. Two elementary subsystems are recognized: the single mode of an electron, and the pair of…

Quantum Physics · Physics 2008-10-31 Alberto Anfossi , Paolo Giorda , Arianna Montorsi

A numerically implementable Multi-scale Many-Body approach to strongly correlated electron systems is introduced. An extension to quantum cluster methods, it approximates correlations on any given length-scale commensurate with the strength…

Strongly Correlated Electrons · Physics 2012-01-04 C. Slezak , M. Jarrell , Th. Maier , J. Deisz

In a recent article T. Grover [Phys. Rev. Lett. 111, 130402 (2013)] introduced a simple method to compute Renyi entanglement entropies in the realm of the auxiliary field quantum Monte Carlo algorithm. Here, we further develop this approach…

Strongly Correlated Electrons · Physics 2014-03-26 Fakher F. Assaad , Thomas C. Lang , Francesco Parisen Toldin

Quantum annealing is a generic solver of the optimization problem that uses fictitious quantum fluctuation. Its simulation in classical computing is often performed using the quantum Monte Carlo simulation via the Suzuki--Trotter…

Quantum Physics · Physics 2016-12-15 Masayuki Ohzeki

Quantum entanglement is commonly assumed to be a central resource for quantum computing and quantum simulation. Nonetheless, the capability to detect it in many-body systems is severely limited by the absence of sufficiently scalable and…

Quantum Physics · Physics 2022-03-17 Irénée Frérot , Flavio Baccari , Antonio Acín

In order to shed light whether the `even-odd conjecture' (even numbers of legs will superconduct accompanied by a spin gap while odd ones do not) for correlated electrons in ladder systems, the pairing correlation is studied for the Hubbard…

Strongly Correlated Electrons · Physics 2009-10-30 Takashi Kimura , Kazuhiko Kuroki , Hideo Aoki

We perform quantum Monte Carlo simulations of the itinerant-localized periodic Kondo-Heisenberg model for the underdoped cuprates to calculate the associated spin correlation functions. The strong electron correlations are shown to play a…

Strongly Correlated Electrons · Physics 2016-12-14 Ilya Ivantsov , Alvaro Ferraz , Evgenii Kochetov
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