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New Approach to Many-State Quantum Dynamics: The Recursive-Residue-Generation Method
Abstract
A new computational approach to time-dependent transition amplitudes in multistate quantum systems is developed. The method, which avoids explicit computation of matrix eigenvectors, is based upon the recursive generation of residues of Green's functions. The residues are computed from the eigenvalues of several tridiagonal matrices. Numerical results are presented for multiphoton excitation of overtones in a system with over 3000 states.
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Citations
Cited by
On Krylov Subspace Approximations to the Matrix Exponential Operator
Hochbruck, M., & Lubich, C. (1997) · SIAM Journal on Numerical Analysis · doi:10.1137/s0036142995280572 · Cited by 795
Efficient Solution of Parabolic Equations by Krylov Approximation Methods
Gallopoulos, E., & Saad, Y. (1992) · SIAM Journal on Scientific and Statistical Computing · doi:10.1137/0913071 · Cited by 320
The ergodic side of the many‐body localization transition
Luitz, D. J., & Lev, Y. B. (2017) · Annalen der Physik · doi:10.1002/andp.201600350 · Cited by 308
Parallel time-dependent variational principle algorithm for matrix product states
Secular, P., Gourianov, N., Lubasch, M., Dolgov, S., Clark, S. R., & Jaksch, D. (2020) · Physical Review B · doi:10.1103/physrevb.101.235123 · Cited by 40
Metadata
- Authors
- Nauts, A., & Wyatt, R. E.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1983-12-19
- Volume
- 51
- Issue
- 25
- Pages
- 2238-2241
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1992781864
- Cited by
- 267
- References
- 0
- FWCI
- 10.69
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: New Approach to Many-State Quantum Dynamics: The Recursive-Residue-Generation Method. https://app.cochat.ai/papers/10.1103/physrevlett.51.2238
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- Nauts, A., & Wyatt, R. E. (1983). New Approach to Many-State Quantum Dynamics: The Recursive-Residue-Generation Method. Physical Review Letters. https://doi.org/10.1103/physrevlett.51.2238
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