Question

Note to moderator: Read the answerline carefully. Doing this action to an object derived from the jump operators can solve the Lindblad master equation for open quantum systems. A numerical implementation of this action has limited application in quantum many-body physics due to its exponential runtime and is known as its “exact” form. This action is often done via the Bogoliubov transformation in BCS theory. To avoid division by zero in perturbation theory, one does this action to a degenerate (*) subspace. It's not measurement, but one can simultaneously do this action to a pair of operators (10[1])for compatible observables. The probability of measuring each pure state is found by doing this action to the density matrix. Doing this action to the Hamiltonian solves the Schrödinger equation by finding the eigenvalue spectrum. For 10 points, name this action that creates a matrix where nonzero entries run from the top left to bottom right. ■END■

ANSWER: diagonalization [or diagonalizing a matrix; or eigendecomposition; accept Exact Diagonalization; accept diagonalizing specific matrices like the Hamiltonian or the density matrix; prompt on finding eigenvectors or finding eigenvalues or finding the eigenvalue spectrum with "how?"; prompt on solving the Schrödinger equation or solving the Hamiltonian with "how?"; prompt on ED]
<Science - Physics>
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2024 ARGOS @ Chicago11/23/2024Y1100%0%0%95.00