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One-excitation spin dynamics in homogeneous closed chain governed by XX-Hamiltonian.
- Source :
-
Quantum Information Processing . Feb2024, Vol. 23 Issue 2, p1-15. 15p. - Publication Year :
- 2024
-
Abstract
- We analytically investigate the one-excitation spin dynamics in a homogeneous closed spin-1/2 chain via diagonalization of the one-excitation block of the XX-Hamiltonian, which allows to derive the analytical expressions for probability amplitudes describing state transfers between any two spins of a chain. We analytically investigate the M-neighbor approximation ( M ≥ 1 ) of spin dynamics with arbitrary initial state and analyze its accuracy using special integral characteristics defined in terms of the above probability amplitudes. We find M providing the required accuracy of evolution approximation for chains of different lengths. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUANTUM states
*SPIN excitations
*PROBABILITY theory
Subjects
Details
- Language :
- English
- ISSN :
- 15700755
- Volume :
- 23
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Quantum Information Processing
- Publication Type :
- Academic Journal
- Accession number :
- 175931946
- Full Text :
- https://doi.org/10.1007/s11128-023-04250-4