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We construct a class of projected entangled pair states (PEPS) which is exactly the resonating valence bond (RVB) wavefunctions endowed with both short range and long range valence bonds. With an energetically preferred RVB pattern, the…

Strongly Correlated Electrons · Physics 2013-07-22 Ling Wang , Didier Poilblanc , Zheng-Cheng Gu , Xiao-Gang Wen , Frank Verstraete

By exploiting the particle-hole symmetries of the Hubbard model, the periodic Anderson model and the Kondo lattice model at half-filling and applying a generalized version of Lieb's spin-reflection positivity method, we show that the…

Strongly Correlated Electrons · Physics 2009-10-31 Guang-Shan Tian

We propose and analyze a generalization of the Kitaev chain for fermions with long-range $p$-wave pairing, which decays with distance as a power-law with exponent $\alpha$. Using the integrability of the model, we demonstrate the existence…

Strongly Correlated Electrons · Physics 2014-10-15 Davide Vodola , Luca Lepori , Elisa Ercolessi , Alexey V. Gorshkov , Guido Pupillo

In this paper, we perform large-scale electron-correlated calculations of optoelectronic properties of rectangular graphene-like polycyclic aromatic hydrocarbon molecules. Theoretical methodology employed in this work is based upon…

Materials Science · Physics 2019-05-29 Deepak Kumar Rai , Alok Shukla

The entanglement entropy (EE) has emerged as an important window into the structure of complex quantum states of matter. We analyze the universal part of the EE for gapless systems put on tori in 2d/3d, denoted by $\chi$. Focusing on scale…

Strongly Correlated Electrons · Physics 2017-02-23 William Witczak-Krempa , Lauren E. Hayward Sierens , Roger G. Melko

We consider spin chains with a finite range Hamiltonian. For reasons of simplicity, the chain is taken to be infinitely long. A ground state is said to be a unique gapped ground state if its GNS Hamiltonian has a unique ground state,…

Mathematical Physics · Physics 2025-11-19 Wojciech De Roeck , Martin Fraas , Bruno de O. Carvalho

Exact solutions for excited states in non-integrable quantum Hamiltonians have revealed novel dynamical phenomena that can occur in quantum many-body systems. This work proposes a method to analytically construct a specific set of…

Strongly Correlated Electrons · Physics 2025-06-03 Sashikanta Mohapatra , Sanjay Moudgalya , Ajit C. Balram

A set of density functionals coming from different rungs on Jacob's ladder are employed to evaluate the electronic excited states of three Ru(II) complexes. While most studies on the performance of density functionals compare the vertical…

Lattice gauge theory is an important framework for studying gauge theories that arise in the Standard Model and condensed matter physics. Yet many systems (or regimes of those systems) are difficult to study using conventional techniques,…

High Energy Physics - Lattice · Physics 2026-04-09 Ariel Kelman , Umberto Borla , Patrick Emonts , Erez Zohar

Size extensivity, defined as the correct scaling of energy with system size, is a desirable property for any many-body method. Traditional CI methods are not size extensive hence the error increases as the system gets larger. Coupled…

Chemical Physics · Physics 2022-07-27 Vibin Abraham , Nicholas J. Mayhall

We study entanglement spectra of gapped states on the surfaces of symmetry-protected topological phases. These surface states carry anomalies that do not allow them to be terminated by a trivial state. Their entanglement spectra are…

Mesoscale and Nanoscale Physics · Physics 2022-10-04 Arjun Dey , David F. Mross

The entanglement spectrum serves as a powerful tool for probing the structure and dynamics of quantum many-body systems, revealing key information about symmetry, topology, and excitations. While the entanglement entropy (EE) of ground…

We present a detailed study of the Bardeen-Cooper-Schrieffer (BCS) gap equation ``replicae'' or excited vacuum states, orthogonal to the ground-state one, in the chiral-quark sector of the Hamiltonian Coulomb-gauge model of chromodynamics.…

A typical quantum state obeying the area law for entanglement on an infinite 2D lattice can be represented by a tensor network ansatz -- known as an infinite projected entangled pair state (iPEPS) -- with a finite bond dimension $D$. Its…

Strongly Correlated Electrons · Physics 2018-07-11 Piotr Czarnik , Jacek Dziarmaga

We present a novel approach to spin-adapted coupled cluster theory. This approach is based on the entanglement of an open-shell molecule with electrons in a non-interacting bath; together they form a closed-shell state. For the total…

Chemical Physics · Physics 2023-05-22 Sarai Dery Folkestad , Bendik Støa Sannes , Henrik Koch

We introduce bipartite projected ensembles (BPEs) for quantum many-body wave functions, which consist of pure states supported on two local subsystems, with each state associated with the outcome of a projective measurement of the…

Quantum Physics · Physics 2025-11-04 Zi-Yong Ge , Franco Nori

We present path integral ground state (PIGS) quantum Monte Carlo calculations for the ground state ($T = 0$) properties of repulsively interacting bosons in a three-dimensional external double well potential over a range of interaction…

Quantum Gases · Physics 2017-11-27 Joel C. Corbo , Jonathan L. DuBois , K. Birgitta Whaley

We study a set of exactly soluble net spin models. There exist two kinds of ground state, one is a complete dimerized state, and the other one is the ground state of corresponding spin-1 model. For the excitation gap, various phases were…

Condensed Matter · Physics 2007-05-23 H. Q. Lin , J. L. Shen

A straight forward numerical technique, based on the Gross-Pitaevskii equation, is used to generate a self-consistent description of thermally-excited states of a dilute boson gas. The process of evaporative cooling is then modelled by…

Condensed Matter · Physics 2009-10-31 R. J. Marshall , G. H. C. New , K. Burnett , S. Choi

The prospective of optically inducing a spin polarized current for spintronic devices has generated a vast interest in the out-of-equilibrium electronic and spin structure of topological insulators (TIs). In this Letter we prove that only…

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