The density-matrix renormalization group in the age of matrix product states
TLDR
The density matrix renormalization group method (DMRG) has established itself over the last decade as the leading method for the simulation of the statics and dynamics of one-dimensional strongly correlated quantum lattice systems as mentioned in this paper.About:
This article is published in Annals of Physics.The article was published on 2011-01-01 and is currently open access. It has received 2940 citations till now. The article focuses on the topics: Density matrix renormalization group.read more
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Probing many-body dynamics on a 51-atom quantum simulator.
Hannes Bernien,Sylvain Schwartz,Sylvain Schwartz,Alexander Keesling,Harry Levine,Ahmed Omran,Hannes Pichler,Soonwon Choi,Alexander S. Zibrov,Manuel Endres,Markus Greiner,Vladan Vuletic,Mikhail D. Lukin +12 more
TL;DR: This work demonstrates a method for creating controlled many-body quantum matter that combines deterministically prepared, reconfigurable arrays of individually trapped cold atoms with strong, coherent interactions enabled by excitation to Rydberg states, and realizes a programmable Ising-type quantum spin model with tunable interactions and system sizes of up to 51 qubits.
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A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
TL;DR: This is a partly non-technical introduction to selected topics on tensor network methods, based on several lectures and introductory seminars given on the subject, that should be a good place for newcomers to get familiarized with some of the key ideas in the field.
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Observation of many-body localization of interacting fermions in a quasirandom optical lattice
Michael Schreiber,Sean Hodgman,Pranjal Bordia,Henrik P. Lüschen,Mark H. Fischer,Ronen Vosk,Ehud Altman,Ulrich Schneider,Immanuel Bloch +8 more
TL;DR: This experiment experimentally observed this nonergodic evolution for interacting fermions in a one-dimensional quasirandom optical lattice and identified the MBL transition through the relaxation dynamics of an initially prepared charge density wave.
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Solving the quantum many-body problem with artificial neural networks
TL;DR: In this paper, a variational representation of quantum states based on artificial neural networks with a variable number of hidden neurons is introduced. But this model is not suitable for the many-body problem in quantum physics.
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Quantum Spin Liquids
Lucile Savary,Leon Balents +1 more
TL;DR: A review of quantum spin liquids can be found in this paper, where the authors discuss the nature of such phases and their properties based on paradigmatic models and general arguments, and introduce theoretical technology such as gauge theory and partons that are conveniently used in the study of spin liquids.
References
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Many-Body Physics with Ultracold Gases
TL;DR: In this article, a review of recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases is presented, focusing on effects beyond standard weakcoupling descriptions, such as the Mott-Hubbard transition in optical lattices, strongly interacting gases in one and two dimensions, or lowest-Landau-level physics in quasi-two-dimensional gases in fast rotation.
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Black holes and entropy
TL;DR: In this paper, the concept of black-hole entropy was introduced as a measure of information about a black hole interior which is inaccessible to an exterior observer, and it was shown that the entropy is equal to the ratio of the black hole area to the square of the Planck length times a dimensionless constant of order unity.
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Density matrix formulation for quantum renormalization groups
TL;DR: A generalization of the numerical renormalization-group procedure used first by Wilson for the Kondo problem is presented and it is shown that this formulation is optimal in a certain sense.
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Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
TL;DR: The dynamical mean field theory of strongly correlated electron systems is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition.
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The renormalization group: Critical phenomena and the Kondo problem
TL;DR: A review of renormalization group ideas in the context of critical phenomena can be found in this paper, where the authors discuss the relationship of the modern renormalisation group to the older problems of divergences in statistical mechanics and field theory.