A NEW METHOD OF EXPANSION IN QUANTUM MANY-BODY PROBLEM by Edwards, S, Sherring, D

Beautiful models : 70 years of exactly solved quantum many-body problems / by 311424 Sutherland, Bill

A NEW METHOD OF EXPANSION IN QUANTUM MANY-BODY PROBLEM .3. DENSITY FIELD by Sherring, D

THE COUPLED-CLUSTER APPROACH TO QUANTUM MANY-BODY PROBLEM IN A THREE-HILBERT-SPACE REINTERPRETATION by Raymond F. Bishop, Miloslav Znojil

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A NEW METHOD OF EXPANSION IN QUANTUM MANY-BODY PROBLEM .2. THERMODYNAMIC GREEN FUNCTIONS by Sherring, D

Orders of magnitude increased accuracy for quantum many-body problems on quantum computers via an exact transcorrelated method by Igor O. Sokolov, Werner Dobrautz, Hongjun Luo, Ali Alavi, Ivano Tavernelli

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On phase segregation in nonlocal two-particle Hartree systems by Aschbacher Walter, Squassina Marco

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A Numerically Exact Approach to Quantum Impurity Problems in Realistic Lattice Geometries by Andrew Allerdt, Adrian E. Feiguin

“…The resulting dimensional and entanglement reduction allows one to study the quantum many-body problem on arbitrary d-dimensional lattices using the density matrix renormalization group (DMRG) method. …”
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Interaction between Different Kinds of Quantum Phase Transitions by Angel Ricardo Plastino, Gustavo Luis Ferri, Angelo Plastino

“…The pairing versus monopole effects here observed afford for some interesting insights into the intricacies of the quantum many body problem, in particular with regards to so-called quantum phase transitions (strictly, level crossings).…”
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Modeling noncovalent interatomic interactions on a photonic quantum computer by Matthieu Sarkis, Alessio Fallani, Alexandre Tkatchenko

“…However, accurately capturing these interactions is a complex quantum many-body problem, with no efficient solution available on classical computers. …”
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Stochastic representation of many-body quantum states by Hristiana Atanasova, Liam Bernheimer, Guy Cohen

“…Abstract The quantum many-body problem is ultimately a curse of dimensionality: the state of a system with many particles is determined by a function with many dimensions, which rapidly becomes difficult to efficiently store, evaluate and manipulate numerically. …”
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Quantum theory of Kerr nonlinearity with Rydberg slow light polaritons by Przemyslaw Bienias, Hans Peter Büchler

“…In this regime, the quantum many-body problem can be solved analytically for arbitrary shape of the atomic cloud. …”
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Learning Feynman Diagrams with Tensor Trains by Yuriel Núñez Fernández, Matthieu Jeannin, Philipp T. Dumitrescu, Thomas Kloss, Jason Kaye, Olivier Parcollet, Xavier Waintal

“…We use tensor network techniques to obtain high-order perturbative diagrammatic expansions for the quantum many-body problem at very high precision. The approach is based on a tensor train parsimonious representation of the sum of all Feynman diagrams, obtained in a controlled and accurate way with the tensor cross interpolation algorithm. …”
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Symmetry-protected Bose-Einstein condensation of interacting hardcore bosons by Reja H. Wilke, Thomas Köhler, Felix A. Palm, Sebastian Paeckel

“…We illustrate this mechanism by constructing the solution of the full quantum many-body problem of hardcore bosons on a wheel geometry, which are known to form Bose-Einstein condensates. …”
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Holographic superconductor with multiple competing condensates by Grabowska, Dorota M

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Simulating a ring-like Hubbard system with a quantum computer by Philippe Suchsland, Panagiotis Kl. Barkoutsos, Ivano Tavernelli, Mark H. Fischer, Titus Neupert

“…We develop a workflow to use current quantum computing hardware for solving quantum many-body problems, using the example of the fermionic Hubbard model. …”
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Deep learning representations for quantum many-body systems on heterogeneous hardware by Xiao Liang, Mingfan Li, Qian Xiao, Junshi Chen, Chao Yang, Hong An, Lixin He

“…The quantum many-body problems are important for condensed matter physics, however solving the problems are challenging because the Hilbert space grows exponentially with the size of the problem. …”
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Interpreting machine learning of topological quantum phase transitions by Yi Zhang, Paul Ginsparg, Eun-Ah Kim

“…The interpretability in these cases suggests hope for theoretical progress based on future uses of ANN-based machine learning on quantum many-body problems.…”
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Quantum machine learning for electronic structure calculations by Rongxin Xia, Sabre Kais

“…Here, the authors develop a quantum machine learning algorithm, which demonstrates significant improvements in solving quantum many-body problems.…”
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Multipurpose platform for analog quantum simulation by Shuwei Jin, Kunlun Dai, Joris Verstraten, Maxime Dixmerias, Ragheed Alhyder, Christophe Salomon, Bruno Peaudecerf, Tim de Jongh, Tarik Yefsah

“…Atom-based quantum simulators have had many successes in tackling challenging quantum many-body problems, owing to the precise and dynamical control that they provide over the systems' parameters. …”
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