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We show the existance of the exact plaquette-ordered ground states of the Hubbard model including site-off-diagonal interactions in arbitrary dimensions, by decomposing the Hamiltonian as sum of products of projection operators for each…

Strongly Correlated Electrons · Physics 2015-06-25 Masaaki Nakamura , Kazuhito Itoh

We present exact results for the periodic Anderson model for finite Hubbard interaction 0 <= U < +infinity on certain restricted domains of the model's phase diagram, in d=1 dimension. Decomposing the Hamiltonian into positive semidefinite…

Strongly Correlated Electrons · Physics 2016-08-31 Ivan Orlik , Zsolt Gulacsi

The extended Bose-Hubbard model for a double-well potential with pair tunneling is studied through both exact diagonalization and mean field theory (MFT). When pair tunneling is strong enough, the ground state wavefunction predicted by the…

Quantum Gases · Physics 2015-05-05 Qizhong Zhu , Qi Zhang , Biao Wu

We present the exact ground-state wave function and energy of the generalized Hubbard model, subjected to the condition that the number of double occupied sites is conserved, for a wide, physically relevant range of parameters. For one hole…

Condensed Matter · Physics 2009-10-22 Anatoly A. Ovchinnikov

We investigate the ground-state phase diagram of the one-dimensional half-filled Hubbard model with an alternating potential--a model for the charge-transfer organic materials and the ferroelectric perovskites. We numerically determine the…

Strongly Correlated Electrons · Physics 2009-11-10 Hiromi Otsuka , Masaaki Nakamura

We consider a lattice model in which phonons scatter with pairs of electrons. All eigenvalues and eigenvectors can be obtained analytically. For a suitable choice of parameters the ground state consists of a Fermi sea of non-interacting…

Strongly Correlated Electrons · Physics 2010-01-20 Jan Naudts , Tobias Verhulst

The quantum dynamics of quasi-one-dimensional ring with varying electron filling factor is investigated in presence of external electric field. The system is modeled within Hubbard Hamiltonian with attractive Coulomb correlation, which…

Superconductivity · Physics 2016-04-21 Bradraj Pandey , Sudipta Dutta , Swapan K. Pati

Quantum algorithms for probing ground-state properties of quantum systems require good initial states. Projection-based methods such as eigenvalue filtering rely on inputs that have a significant overlap with the low-energy subspace, which…

Quantum Physics · Physics 2024-04-10 Danial Motlagh , Modjtaba Shokrian Zini , Juan Miguel Arrazola , Nathan Wiebe

Under the action of coherent periodic driving a generic quantum system will undergo Floquet heating and continously absorb energy until it reaches a featureless thermal state. The phase-space constraints induced by certain symmetries can,…

Strongly Correlated Electrons · Physics 2021-02-03 Joseph Tindall , Frank Schlawin , Michael A. Sentef , Dieter Jaksch

We investigate the stability domains of ground states of generalized Hubbard models with next-nearest neighbour interaction using the optimum groundstate approach. We focus on the $\eta$-pairing state with momentum P=0 and the fully…

Strongly Correlated Electrons · Physics 2009-10-31 C. Dziurzik , A. Schadschneider , J. Zittartz

The ground state of the Hubbard model is studied within the constrained Hilbert space where no order parameter exists. The self-energy of electrons is decomposed into the single-site and multisite self-energies. The calculation of the…

Superconductivity · Physics 2009-12-11 Fusayoshi J. Ohkawa , Takahiro Toyama

We present a method to numerically obtain low-energy effective models based on a unitary transformation of the ground state. The algorithm finds a unitary circuit that transforms the ground state of the original model to a projected…

Strongly Correlated Electrons · Physics 2025-07-23 Shengtao Jiang , Steven R. White

The paper examines part of the ground state diagram of the extended Hubbard model, with the on-site attraction U<0 and intersite repulsion W>0 in the presence of charge density waves, superconducting and $\eta$-superconducting order…

Strongly Correlated Electrons · Physics 2007-05-23 M. Bak

The introduction of non-Hermiticity has greatly enriched the research field of traditional condensed matter physics, and eventually led to a series of discoveries of exotic phenomena. We investigate the effect of non-Hermitian imaginary…

Strongly Correlated Electrons · Physics 2021-06-30 X. Z. Zhang , Z. Song

The Hubbard model is a challenging quantum many-body problem and serves as a benchmark for quantum computing research. Accurate computation of its ground and excited state energies is essential for understanding correlated electron systems.…

Quantum Physics · Physics 2025-09-03 Mrinal Dev , Bikash K. Behera , Vivek Vyas , Prasanta K. Panigrahi

For interacting electrons in solids, Heisenberg's equation is used to calculate the distribution in energy of transitions induced by adding an electron to an atomic-like spin orbital. This is the projected density of transitions which…

Strongly Correlated Electrons · Physics 2017-02-15 Roger Haydock

The Mott-Hubbard transition is studied in the context of the two-dimensional Hubbard model. Analytical calculations show the existence of a critical value Uc of the potential strength which separates a paramagnetic metallic phase from a…

Strongly Correlated Electrons · Physics 2007-05-23 F. Mancini

The dynamics of Hermitian many-body quantum systems has long been a challenging subject due to the complexity induced by the particle-particle interactions. In contrast, this difficulty may be avoided in a well-designed non-Hermitian…

Quantum Physics · Physics 2023-05-16 X. M. Yang , Z. Song

A numerical bootstrap method is proposed to provide rigorous and nontrivial bounds in general quantum many-body systems with locality. In particular, lower bounds on ground state energies of local lattice systems are obtained by imposing…

Strongly Correlated Electrons · Physics 2020-09-16 Xizhi Han

We investigate the ground-state properties of the one-dimensional two-band Hubbard model with different bandwidths. The density-matrix renormalization group method is applied to calculate the averaged electron occupancies $n$ as a function…

Strongly Correlated Electrons · Physics 2009-11-13 S. Miyashita , Y. Yamashita , K. Yonemitsu , A. Koga , N. Kawakami