Low perturbation limit decoherence analyzed by scaling the Double Quantum Hamiltonian
By varying the magnitude of the effective interaction between spins in relation to the perturbations, we study the decoherence behavior in a connected proton system. Making use of the Magnus expansion, we introduce a NMR pulse sequence that generates an average Hamiltonian with Double Quantum terms...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Journal of Magnetic Resonance Open |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666441023000122 |
| _version_ | 1827587904616005632 |
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| author | C.M. Sánchez H.M. Pastawski A.K. Chattah |
| author_facet | C.M. Sánchez H.M. Pastawski A.K. Chattah |
| author_sort | C.M. Sánchez |
| collection | DOAJ |
| description | By varying the magnitude of the effective interaction between spins in relation to the perturbations, we study the decoherence behavior in a connected proton system. Making use of the Magnus expansion, we introduce a NMR pulse sequence that generates an average Hamiltonian with Double Quantum terms multiplied by a scaling factor, δ, with the possibility to take positive and negative values. The performance of the pulse sequence for different values of the scaling factors was validated in polycrystalline adamantane, by observing the evolution of the polarization. A time reversal procedure, accessible through the change of sign in the controlled Hamiltonian, was necessary to observe multiple quantum coherences. The spin counting develops a characteristic growth in two species of clusters for the scaled time. The influence of the scaling factor on the reversibility was observed through the behavior of the Loschmidt echoes, which decayed faster as the scaling factor increases. From the analysis of dynamics and its reversibility, we extracted characteristic times for the spin diffusion, T2δ and the intrinsic decoherence decay, T3δ for each scaling factor δ, and perturbation time scale, TΣ. Observing the dependence of reversibility vs. perturbation rates, both normalized with the spin diffusion rate, we find that in the limit of low perturbations, T2δ/T3δ deviates from the linear dependence on T2δ/TΣ that corresponds to strong perturbation. The asymptotic value T2/T3≈0.15 as T2δ/TΣ vanishes, gives evidence that the main source of irreversibility is the intrinsic decoherence associated to the chaotic many-body dynamics of the system. |
| first_indexed | 2024-03-09T00:24:42Z |
| format | Article |
| id | doaj.art-da1443f2df4d43a38b022ca3de893a6f |
| institution | Directory Open Access Journal |
| issn | 2666-4410 |
| language | English |
| last_indexed | 2024-03-09T00:24:42Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of Magnetic Resonance Open |
| spelling | doaj.art-da1443f2df4d43a38b022ca3de893a6f2023-12-12T04:36:31ZengElsevierJournal of Magnetic Resonance Open2666-44102023-12-0116100104Low perturbation limit decoherence analyzed by scaling the Double Quantum HamiltonianC.M. Sánchez0H.M. Pastawski1A.K. Chattah2Facultad de Matemática, Astronomía, Física y Computación - Universidad Nacional de Córdoba, 5000 Córdoba, Argentina; Instituto de Física Enrique Gaviola (CONICET-UNC), 5000 Córdoba, ArgentinaFacultad de Matemática, Astronomía, Física y Computación - Universidad Nacional de Córdoba, 5000 Córdoba, Argentina; Instituto de Física Enrique Gaviola (CONICET-UNC), 5000 Córdoba, ArgentinaCorresponding author at: Facultad de Matemática, Astronomía, Física y Computación - Universidad Nacional de Córdoba, 5000 Córdoba, Argentina.; Facultad de Matemática, Astronomía, Física y Computación - Universidad Nacional de Córdoba, 5000 Córdoba, Argentina; Instituto de Física Enrique Gaviola (CONICET-UNC), 5000 Córdoba, ArgentinaBy varying the magnitude of the effective interaction between spins in relation to the perturbations, we study the decoherence behavior in a connected proton system. Making use of the Magnus expansion, we introduce a NMR pulse sequence that generates an average Hamiltonian with Double Quantum terms multiplied by a scaling factor, δ, with the possibility to take positive and negative values. The performance of the pulse sequence for different values of the scaling factors was validated in polycrystalline adamantane, by observing the evolution of the polarization. A time reversal procedure, accessible through the change of sign in the controlled Hamiltonian, was necessary to observe multiple quantum coherences. The spin counting develops a characteristic growth in two species of clusters for the scaled time. The influence of the scaling factor on the reversibility was observed through the behavior of the Loschmidt echoes, which decayed faster as the scaling factor increases. From the analysis of dynamics and its reversibility, we extracted characteristic times for the spin diffusion, T2δ and the intrinsic decoherence decay, T3δ for each scaling factor δ, and perturbation time scale, TΣ. Observing the dependence of reversibility vs. perturbation rates, both normalized with the spin diffusion rate, we find that in the limit of low perturbations, T2δ/T3δ deviates from the linear dependence on T2δ/TΣ that corresponds to strong perturbation. The asymptotic value T2/T3≈0.15 as T2δ/TΣ vanishes, gives evidence that the main source of irreversibility is the intrinsic decoherence associated to the chaotic many-body dynamics of the system.http://www.sciencedirect.com/science/article/pii/S2666441023000122Loschmidt echoScalingDecoherenceSpin systemsDouble Quantum |
| spellingShingle | C.M. Sánchez H.M. Pastawski A.K. Chattah Low perturbation limit decoherence analyzed by scaling the Double Quantum Hamiltonian Journal of Magnetic Resonance Open Loschmidt echo Scaling Decoherence Spin systems Double Quantum |
| title | Low perturbation limit decoherence analyzed by scaling the Double Quantum Hamiltonian |
| title_full | Low perturbation limit decoherence analyzed by scaling the Double Quantum Hamiltonian |
| title_fullStr | Low perturbation limit decoherence analyzed by scaling the Double Quantum Hamiltonian |
| title_full_unstemmed | Low perturbation limit decoherence analyzed by scaling the Double Quantum Hamiltonian |
| title_short | Low perturbation limit decoherence analyzed by scaling the Double Quantum Hamiltonian |
| title_sort | low perturbation limit decoherence analyzed by scaling the double quantum hamiltonian |
| topic | Loschmidt echo Scaling Decoherence Spin systems Double Quantum |
| url | http://www.sciencedirect.com/science/article/pii/S2666441023000122 |
| work_keys_str_mv | AT cmsanchez lowperturbationlimitdecoherenceanalyzedbyscalingthedoublequantumhamiltonian AT hmpastawski lowperturbationlimitdecoherenceanalyzedbyscalingthedoublequantumhamiltonian AT akchattah lowperturbationlimitdecoherenceanalyzedbyscalingthedoublequantumhamiltonian |