Quantum Many-body Bootstrap

Limits on the energy of the antiferromagnetic ground state ,

P. W. Anderson, · 1951

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Electron correlations in narrow energy bands ,

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Finite-size scaling of the ground-state parameters of the two-dimensional Heisenberg model ,

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Bootstraps to strings: solving random matrix models with positivite ,

H. W. Lin, · 2002

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Bootstrapping matrix quantum mechanics ,

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Reduced-density-matrix mechanics: with application to many-electron atoms and molecules , vol. 165,

S. A. Rice, · 2007

Cited alongside, same era.

Computational complexity of interacting electrons and fundamental limitations of density functional theory ,

N. Schuch and F. Verstraete, · 2009

Cited alongside, same era.

Two-electron reduced density matrix as the basic variable in many-electron quantum chemistry and physics ,

D. A. Mazziotti, · 2012

Cited alongside, same era.

Lower bounds for ground states of condensed matter systems ,

T. Baumgratz and M. B. Plenio, · 2012

Cited alongside, same era.

Density matrix embedding: A simple alternative to dynamical mean-field theory ,

G. Knizia and G. K.-L. Chan, · 2012

Cited alongside, same era.

15 auxiliary-field quantum monte carlo for correlated electron systems ,

Enhanced constraints for accurate lower bounds on many-electron quantum energies from variational two-electron reduced density matrix theory ,

D. A. Mazziotti, · 2016

Later among the works it cites.

Conic optimization via operator splitting and homogeneous self-dual embedding ,

B. O’Donoghue, E. Chu, N. Parikh and S. Boyd, · 2016

Later among the works it cites.

Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory ,

B.-X. Zheng and G. K.-L. Chan, · 2016

Later among the works it cites.

Stripe order in the underdoped region of the two-dimensional hubbard model ,

B.-X. Zheng, C.-M. Chung, P. Corboz, G. Ehlers, M.-P. Qin, R. M. Noack, H. Shi, S. R. White, S. Zhang and G. K.-L. Chan, · 2017

Later among the works it cites.

Numerical evidence of fluctuating stripes in the normal state of high-Tc cuprate superconductors ,

E. W. Huang, C. B. Mendl, S. Liu, S. Johnston, H.-C. Jiang, B. Moritz and T. P. Devereaux, · 2017

Later among the works it cites.