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Everything about Time-evolving block decimation
Quantum many-body simulation algorithm
The time-evolving block decimation (TEBD) algorithm is a numerical scheme used to simulate one-dimensional quantum many-body systems, characterized by at most nearest-neighbour interactions. It is dubbed "time-evolving block decimation" because it dynamically identifies the relevant low-dimensional Hilbert subspaces of an exponentially larger original Hilbert space. The algorithm, based on the matrix product state formalism, is highly efficient when the amount of entanglement in the system is limited, a requirement fulfilled by a large class of quantum many-body systems in one dimension. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Time-evolving block decimationA 5-minute orientation
- Skim a recent paper: Reweighted time-evolving block decimation for improved quantum dynamics simulationsInfluential work since 2022
- Pick up a classic book: The Conspirators HierarchyThe most-reprinted book on the subject
- Read the landmark paper: Infinite time-evolving block decimation algorithm beyond unitary evolutionCited 407 times
- Go sideways: Type IIA supergravityA closely related topic
- Go sideways: 4D N = 1 supergravityA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Infinite time-evolving block decimation algorithm beyond unitary evolution
Improved scaling of time-evolving block-decimation algorithm through reduced-rank randomized singular value decomposition
Bose-Hubbard ground state: Extended Bogoliubov and variational methods compared with time-evolving block decimation
Hybrid infinite time-evolving block decimation algorithm for long-range multidimensional quantum many-body systems
Quantum quench and charge oscillations in the SU(3) Hubbard model: A test of time evolving block decimation with general non-Abelian symmetries
Parallel implementation of the time-evolving block decimation algorithm for the Bose–Hubbard model
Propagating large open quantum systems towards their asymptotic states: cluster implementation of the time-evolving block decimation scheme
Diffusive time-evolving block decimation method for matrix product states in one-dimensional spinless fermion systems
🆕 Influential since 2022
📚 Books worth reading
The Conspirators HierarchyJohn Coleman · 1992
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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