Many-body Landau-Zener effect at fast sweep

Abstract

The asymptotic staying probability P in the Landau-Zener effect with interaction is analytically investigated at fast sweep, epsilon = pi Delta^2/(2 hbar v) << 1. We have rigorously calculated the value of I_0 in the expansion P =~ 1 - epsilon + epsilon^2/2 + epsilon^2 I_0 for arbitrary couplings and relative resonance shifts of individual tunneling particles. The results essentially differ from those of the mean-field approximation. It is shown that strong long-range interactions such as dipole-dipole interaction (DDI) generate huge values of I_0 because flip of one particle strongly influences many others. However, in the presence of strong static disorder making resonance for individual particles shifted with respect to each other the influence of interactions is strongly reduced. In molecular magnets the main source of static disorder is the coupling to nuclear spins. Our calculations using the actual shape of the Fe-8 crystal studied in the the Landau-Zener experiments [Wernsdorfer et al, Europhys. Lett. 50, 552 (2000)] yield I_0 that is in a good agreement with the value extracted from the experimental data.

arXiv comment14 PR pages, 8 Figures

References in corpus (15)

• Low-Temperature Quantum Relaxation in a System of Magnetic Nanomolecules
• The effects of nuclear spins on the quantum relaxation of the magnetization for the molecular nanomagnet Fe_8
• Nonadiabatic Landau Zener tunneling in Fe_8 molecular nanomagnets
• Time-dependent tunneling of Bose-Einstein condensates
• Superradiance from crystals of molecular nanomagnets
• Effects of nonlinear sweep in the Landau-Zener-Stueckelberg effect
• Nuclear spin dynamics in the quantum regime of a single-molecule magnet
• Quantum Step Heights in Hysteresis Loops of Molecular Magnets
• Dipolar interaction and incoherent quantum tunneling: a Monte Carlo study of magnetic relaxation
• Magnetization Process of Single Molecule Magnets at Low Temperatures
• Dipolar ordering in Fe8?
• Landau-Zener-Stueckelberg effect in a model of interacting tunneling systems
• Feedback Effect on Landau-Zener-Stueckelberg Transitions in Magnetic Systems
• Quantum Nonlinear Switching Model
• Interference effect in the Landau-Zener tunneling of the antiferromagnetically coupled dimer of single-molecule magnets

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• Landau-Zener Transitions in Chains
• Nonadiabatic Transitions for a Decaying Two-Level-System: Geometrical and Dynamical Contributions
• Quantum dynamics of a nanomagnet in a rotating field
• Landau-Zener dynamics of a nanoresonator containing a tunneling spin
• Dipolar Ordering and Quantum Dynamics of Domain Walls in Mn-12 Acetate
• Landau-Zener transition in a two-level system coupled to a single highly-excited oscillator
• Tunneling and inversion symmetry in single-molecule magnets: the case of the Mn12 wheel molecule
• Effect of environmental spins on Landau-Zener transitions
• Phonon bottleneck in the low-excitation limit
• Turbulent fronts of quantum detonation in molecular magnets
• Dipolar-controlled spin tunneling and relaxation in molecular magnets
• Distribution of eigenstate populations and dissipative beating dynamics in uniaxial single-spin magnets
• The effect of the second nearest neighbor interaction on the population transfer in a four-particle Landau-Zener system