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Time-evolving block decimation
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<p>The time-evolving block decimation (TEBD) <a href="/facts/Algorithm/fnl5NmRt">algorithm</a> is a numerical scheme used to simulate one-dimensional <a href="/facts/Quantum/4x5QTxGB">quantum</a> 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 <a href="/facts/Hilbert_space/aDFMh4lV">Hilbert space</a>. The algorithm, based on the Matrix Product States formalism, is highly efficient when the amount of <a href="/facts/Quantum_entanglement/afzslwN0">entanglement</a> in the system is limited, a requirement fulfilled by a large class of quantum many-body systems in one dimension. </p>