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Two-dimensional interacting electrons exposed to strong perpendicular magnetic fields generate emergent, exotic quasiparticles phenomenologically distinct from electrons. Specifically, electrons bind with an even number of flux quanta, and…

Strongly Correlated Electrons · Physics 2019-07-31 Md. Shafayat Hossain , Meng K. Ma , M. A. Mueed , D. Kamburov , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler , M. Shayegan

A new variational method is developed to calculate the ground state energy of Fermi systems with strong short-range correlations. A trial wave function of Gutzwiller's type contains additional variational parameters corresponding to…

Strongly Correlated Electrons · Physics 2009-09-25 Yu. B. Kudasov

We use the Gutzwiller Monte Carlo approach to simulate the dissipative XYZ-model in the vicinity of a dissipative phase transition. This approach captures classical spatial correlations together with the full on-site quantum behavior, while…

Quantum Physics · Physics 2018-06-12 Wim Casteels , Ryan M. Wilson , Michiel Wouters

In this study, we investigate the advantages of non-classical pointer states in the generalized modular value scheme. We consider a typical von Neumann measurement with a discrete quantum pointer, where the pointer is a projection operator…

Quantum Physics · Physics 2022-04-26 Yusuf Turek

We use the Gutzwiller variational theory to calculate the ground-state phase diagram and quasi-particle bands of LaOFeAs. The Fe3d--As4p Wannier-orbital basis obtained from density-functional theory defines the band part of our eight-band…

Strongly Correlated Electrons · Physics 2014-10-07 Tobias Schickling , Florian Gebhard , Jörg Bünemann , Lilia Boeri , Ole K. Andersen , Werner Weber

We propose a Monte Carlo method, which is a hybrid method of the quantum Monte Carlo method and variational Monte Carlo theory, to study the Hubbard model. The theory is based on the off-diagonal and the Gutzwiller type correlation factors…

Strongly Correlated Electrons · Physics 2015-06-24 Takashi Yanagisawa , Soh Koike , Kunihiko Yamaji

The puzzling "strange metal" phase of the high Tc cuprate phase diagram reveals itself as closer to a Fermi liquid than previously supposed: it is a consequence of Gutzwiller projection and does not necessarily require exotica such as an…

Strongly Correlated Electrons · Physics 2015-06-25 Philip W Anderson

We develop a formalism for constructing particle-number-conserving Gaussian fermionic projected entangled pair states [U(1)-GfPEPS] and show that these states can describe ground states of band insulators and gapless fermions with band…

Strongly Correlated Electrons · Physics 2023-03-07 Jheng-Wei Li , Jan von Delft , Hong-Hao Tu

We present a new method to approximate the Mori-Zwanzig (MZ) memory integral in generalized Langevin equations (GLEs) describing the evolution of smooth observables in high-dimensional nonlinear systems with local interactions. Building…

Numerical Analysis · Mathematics 2020-03-18 Yuanran Zhu , Daniele Venturi

The one-dimensional (1D) $t$-$J$ model is investigated by using a Gutzwiller-Jastrow-type variation method and the exact diagonalization of small systems. Variational expectation values are estimated by the variational Monte Carlo method…

Condensed Matter · Physics 2009-10-28 Hisatoshi Yokoyama , Masao Ogata

A natural Monte Carlo method to approximate conditional expectations in a probabilistic framework is justified by a general result inspired on the Besicovitch covering theorem on differentiation of measures. The method is specially useful…

Computation · Statistics 2013-06-06 Agustín G. Nogales , P. Pérez , P. Monfort

Neural-network wave functions in Variational Monte Carlo (VMC) have achieved great success in accurately representing both ground and excited states. However, achieving sufficient numerical accuracy in state overlaps requires increasing the…

Machine Learning · Computer Science 2026-05-28 Nicholas Gao , Till Grutschus , Frank Noé , Stephan Günnemann

The use of low-rank approximation filters in the field of NMR is increasing due to their flexibility and effectiveness. Despite their ability to reduce the Mean Square Error between the processed signal and the true signal is well known,…

Data Analysis, Statistics and Probability · Physics 2023-10-05 R. Francischello , M. F. Santarelli , A. Flori , L. Menichetti , M. Geppi

We present a plane wave implementation of the G0W0 approximation within the projector augmented wave method code GPAW. The computed band gaps of ten bulk semiconductors and insulators deviate on average by 0.2 eV (~ 5 %) from the…

Materials Science · Physics 2014-01-10 Falco Hüser , Thomas Olsen , Kristian S. Thygesen

We study the bipartite von Neumann entanglement entropy and matrix elements of local operators in the eigenstates of an interacting integrable Hamiltonian (the paradigmatic spin-1/2 XXZ chain), and we contrast their behavior with that of…

Statistical Mechanics · Physics 2020-01-01 Tyler LeBlond , Krishnanand Mallayya , Lev Vidmar , Marcos Rigol

We introduce a novel extension of the Gutzwiller variational wavefunction able to deal with insulators that escape any mean-field like description, as for instance non-magnetic insulators. As an application, we study the Mott transition…

Strongly Correlated Electrons · Physics 2009-11-13 Michele Fabrizio

We reformulate the projected imaginary-time evolution of Full Configuration Interaction Quantum Monte Carlo in terms of a Lagrangian minimization. This naturally leads to the admission of polynomial complex wavefunction parameterizations,…

Strongly Correlated Electrons · Physics 2017-05-03 Lauretta R. Schwarz , A. Alavi , George H. Booth

We present in detail the recently developed multi-configurational symmetrized projector quantum Monte Carlo (MSPQMC) method for excited states of the Hubbard model. We describe the implementation of the Monte Carlo method for a…

Condensed Matter · Physics 2009-10-28 Bhargavi Srinivasan , S. Ramasesha , H. R. Krishnamurthy

The nodal structure of bound-state wave functions for one-dimensional quantum systems with quartic energy-momentum dispersion and polynomial potentials is analysed by using the semiclassical approximation and variational approach. For…

Strongly Correlated Electrons · Physics 2026-03-06 E. V. Gorbar , B. E. Grinyuk , V. P. Gusynin

We consider the kinematic axioms of quantum mechanics projectively. Instead of normalized (pure) states up to global phase, states become one-dimensional subspaces of vector spaces. This process of projectivization is functorial and lax…

Quantum Physics · Physics 2026-05-08 Simon Burton , Hussain Anwar