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We introduce a new class of quantum Monte Carlo methods, based on a Gaussian quantum operator representation of fermionic states. The methods enable first-principles dynamical or equilibrium calculations in many-body Fermi systems, and,…

Quantum Physics · Physics 2009-11-10 J. F. Corney , P. D. Drummond

A complete characterization of quantum fluctuations in many-body systems is accessible through the full counting statistics. We present an exact computation of statistical properties of light in a basic model of light-matter interaction: a…

Quantum Physics · Physics 2013-02-14 Mikhail Pletyukhov , Matouš Ringel , Vladimir Gritsev

We investigate the one-dimensional Hubbard model with a confining potential, which may describe cold fermionic atoms trapped in an optical lattice. Combining the variational Monte Carlo simulations with the new stochastic reconfiguration…

Statistical Mechanics · Physics 2007-05-23 Yusuke Fujihara , Akihisa Koga , Norio Kawakami

We examine the nature of the transition to the antiferromagnetically ordered state in the half-filled three-dimensional Hubbard model using the dual-fermion multiscale approach. Consistent with analytics, in the weak-coupling regime we find…

Strongly Correlated Electrons · Physics 2015-10-14 Daniel Hirschmeier , Hartmut Hafermann , Emanuel Gull , Alexander I. Lichtenstein , Andrey E. Antipov

We derive the large deviation function, which provides the large-time full counting statistics for the charge transfer, in the non-equilibrium steady state of the resonant-level model. The general form of this function in free fermion…

Mathematical Physics · Physics 2015-05-28 Denis Bernard , Benjamin Doyon

Based on the standard many-fermion field theory, the authors construct models describing ultracold fermions in a 1D optical lattices by implementing a mode expansion of the fermionic field operator where modes, in addition to space…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Francesco Massel , Vittorio Penna

We formulate a path-integral Monte Carlo algorithm for simulating lattice systems consisting of fictitious particles governed by a generalized exchange statistics. This method, initially proposed for continuum systems, introduces a…

Strongly Correlated Electrons · Physics 2025-08-19 Zhijie Fan , Tianning Xiao , Youjin Deng

Entanglement measures such as the entanglement entropy have become an indispensable tool to identify the fundamental character of ground states of interacting quantum many-body systems. For systems of interacting spin or bosonic degrees of…

Strongly Correlated Electrons · Physics 2014-08-27 Peter Broecker , Simon Trebst

We study the two band degenerate Hubbard model using the Fluctuation Exchange approximation (FLEX) method and compare the results with Quantum Monte-Carlo calculations. Both the self-consistent and the non-self-consistent versions of the…

Strongly Correlated Electrons · Physics 2009-11-10 V. Drchal , V. Janis , J. Kudrnovsky , V. S. Oudovenko , X. Dai , K. Haule , G. Kotliar

Understanding quantum many-body states of correlated electrons is one main theme in modern condensed matter physics. Given that the Fermi-Hubbard model, the prototype of correlated electrons, has been recently realized in ultracold optical…

Strongly Correlated Electrons · Physics 2021-01-27 Bin-Bin Chen , Chuang Chen , Ziyu Chen , Jian Cui , Yueyang Zhai , Andreas Weichselbaum , Jan von Delft , Zi Yang Meng , Wei Li

We present a finite-temperature canonical-ensemble determinant quantum Monte Carlo algorithm that enforces an exact fermion number and enables stable simulations of correlated lattice fermions. We propose a stabilized QR update that reduces…

Strongly Correlated Electrons · Physics 2026-01-21 Tu Hong , Kun Chen , Xiao Yan Xu

In the paper the thermodynamics of a cubic cluster with 8 sites at quarter filling is characterized by means of exact diagonalization technique. Particular emphasis is put on the behaviour of such response functions as specific heat and…

Statistical Mechanics · Physics 2017-05-16 K. Szałowski , T. Balcerzak , M. Jaščur , A. Bobák , M. Žukovič

We use state-of-the-art numerical techniques to compute ground state correlations in the two-dimensional SU(3) Fermi Hubbard model at $1/3$-filling, modeling fermions with three possible spin flavors moving on a square lattice with an…

Strongly Correlated Electrons · Physics 2023-12-22 Chunhan Feng , Eduardo Ibarra-García-Padilla , Kaden R. A. Hazzard , Richard Scalettar , Shiwei Zhang , Ettore Vitali

We extend the scope of full configuration interaction quantum Monte Carlo (FCIQMC) to be applied to coupled fermion-boson hamiltonians, alleviating the a priori truncation in boson occupation which is necessary for many other wave function…

Strongly Correlated Electrons · Physics 2022-11-09 Robert J. Anderson , Charles C. J. Scott , George H. Booth

An efficient Path Integral Monte Carlo procedure is proposed to simulate the behavior of quantum many-body dissipative systems described within the framework of the influence functional. Thermodynamic observables are obtained by Monte Carlo…

Statistical Mechanics · Physics 2009-11-07 Luca Capriotti , Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

Quantum many-body systems may defy thermalization even without disorder. Intriguingly, non-ergodicity may be caused by a fragmentation of the many-body Hilbert-space into dynamically disconnected subspaces. The tilted one-dimensional…

Fermionic Monte Carlo calculations with continuous auxiliary fields often encounter infinite variance problem from fermionic observables. This issue renders the estimation of observables unreliable, even with an infinite number of samples.…

High Energy Physics - Lattice · Physics 2023-11-28 Hyunwoo Oh , Andrei Alexandru , Paulo F. Bedaque , Andrea Carosso

We provide fast algorithms for simulating many body Fermi systems on a universal quantum computer. Both first and second quantized descriptions are considered, and the relative computational complexities are determined in each case. In…

Quantum Physics · Physics 2009-10-30 Daniel S. Abrams , Seth Lloyd

Simulating models for quantum correlated matter unveils the inherent limitations of deterministic classical computations. In particular, in the case of quantum Monte Carlo methods, this is manifested by the emergence of negative weight…

Strongly Correlated Electrons · Physics 2022-11-23 Tian-Cheng Yi , Richard T. Scalettar , Rubem Mondaini

We present a technique that enables the evaluation of perturbative expansions based on one-loop-renormalized vertices up to large expansion orders. Specifically, we show how to compute large-order corrections to the random phase…

Strongly Correlated Electrons · Physics 2020-11-19 Fedor Šimkovic , Riccardo Rossi , Michel Ferrero