Numerical technique for solving quantum Hamiltonians.
Exact diagonalization (ED) is a numerical technique used in physics to determine the eigenstates and energy eigenvalues of a quantum Hamiltonian. In this technique, a Hamiltonian for a discrete, finite system is expressed in matrix form and diagonalized using a computer. Exact diagonalization is only feasible for systems with a few tens of particles, due to the exponential growth of the Hilbert space dimension with the size of the quantum system. It is frequently employed to study lattice models, including the Hubbard model, Ising model, Heisenberg model, t-J model, and SYK model.[1][2]
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and 23 Related for: Exact diagonalization information
discrete, finite system is expressed in matrix form and diagonalized using a computer. Exactdiagonalization is only feasible for systems with a few tens of particles...
simply enumerating over all possible states of the system (using exactdiagonalization in quantum mechanics, or integral over all phase space in classical...
then investigated by studies of participation numbers obtained by exactdiagonalization, multifractal properties, level statistics and many others. Especially...
{\displaystyle {\mathcal {S}}} of subsets of a set X {\displaystyle X} , an exact cover is a subcollection S ∗ {\displaystyle {\mathcal {S}}^{*}} of S {\displaystyle...
conformal field theory, as evidenced by Monte Carlo simulations, exactdiagonalization results in quantum models, and quantum field theoretical arguments...
Conference on Artificial Intelligence. 2: 903–910. Erik Koch (2019). "ExactDiagonalization and Lanczos Method" (PDF). In E. Pavarini; E. Koch; S. Zhang (eds...
An exact sequence is a sequence of morphisms between objects (for example, groups, rings, modules, and, more generally, objects of an abelian category)...
Rayleigh–Ritz method from quantum mechanics. It is closely related to the exactdiagonalization method used to treat spin systems in condensed matter physics. The...
true for a wide variety of interacting systems using numerical exactdiagonalization techniques, to within the uncertainty of these methods. It has also...
hōkoku (in Japanese). 48 (4): 1–6. Neugebauer, Otto (1969) [1957]. The Exact Sciences in Antiquity (2nd ed.). Dover Publications. ISBN 978-0-486-22332-2...
; Machida, M. (2005). 16.447 TFlops and 159-Billion-dimensional Exact-diagonalization for Trapped Fermion-Hubbard Model on the Earth Simulator. Proc....
shortlex order) is in the language. This representation is useful in the diagonalization method for proofs. Enumeration On-Line Encyclopedia of Integer Sequences...
original (PDF) on 2019-05-17. Retrieved 2019-05-17. Andrei, N. (1980). "Diagonalization of the Kondo Hamiltonian". Physical Review Letters. 45 (5): 379–382...
physical characteristic that is intrinsically quantum mechanical. A formally exact quantum master equation is the Nakajima–Zwanzig equation, which is in general...
kernels and cokernels. The most common type of exact sequence is the short exact sequence. This is an exact sequence of the form A ↪ f B ↠ g C {\displaystyle...
unit square (a square with an area of 1) so that the dart always hits an exact point in the square, in such a way that each point in the square is equally...
"François Viète's revolution in algebra" (PDF). Archive for History of Exact Sciences. 72 (3): 245–302. doi:10.1007/s00407-018-0208-0. eISSN 1432-0657...
stripped-down version of the Jacobi transformation method of matrix diagonalization. The method is named after Carl Gustav Jacob Jacobi. Let A x = b {\displaystyle...
was reported that the Lambert W {\displaystyle W} function provides an exact solution to the quantum-mechanical double-well Dirac delta function model...
probability distribution of the value is known, it can be used to calculate an exact confidence interval; when the probability distribution is unknown, Chebyshev's...
due to the subtly shadowed corners of the mouth and eyes such that the exact nature of the smile cannot be determined. The shadowy quality for which...
mechanics, the canonical ensemble affords a simple description since diagonalization provides a discrete set of microstates with specific energies. The...
g(n) = en(n,n)+1 is provably total but not primitive recursive, by a diagonalization argument: had there been a j such that g = fj, we would have got g(j)...
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