Decay of spin coherences in one-dimensional spin systems

Abstract

Strategies to protect multi-qubit states against decoherence are difficult to formulate because of their complex many-body dynamics. A better knowledge of the decay dynamics would help in the construction of decoupling control schemes. Here we use solid-state nuclear magnetic resonance techniques to experimentally investigate the decay of coherent multi-spin states in linear spin chains. Leveraging on the quasi-one-dimensional geometry of Fluorapatite crystal spin systems, we can gain a deeper insight on the multi-spin states created by the coherent evolution, and their subsequent decay, than it is possible in 3D systems. We are then able to formulate an analytical model that captures the key features of the decay. We can thus compare the decoherence behavior for different initial states of the spin chain and link their decay rate to the state characteristics, in particular their coherence and long-range correlation among spins. Our experimental and theoretical study shows that the spin chains undergo a rich dynamics, with a slower decay rate than for the 3D case, and thus might be more amenable to decoupling techniques.

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Cited by in corpus (14)

• Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
• Local quenches with global effects in interacting quantum systems
• Quantum correlations and entanglement in far-from-equilibrium spin systems
• Inevitable Power-law Behavior of Isolated Many-Body Quantum Systems and How It Anticipates Thermalization
• Power-law decay exponents: a dynamical criterion for predicting thermalization
• Relaxation and Thermalization of Isolated Many-Body Quantum Systems
• Loschmidt echo in many-spin systems: contrasting time-scales of local and global measurements
• Proliferation of effective interactions: decoherence-induced equilibration in a closed many-body system
• Loschmidt echo in many-spin systems: a quest for intrinsic decoherence and emergent irreversibility
• Free induction decays in nuclear spin-1/2 lattices with small number of interacting neighbors: the cases of silicon and fluorapatite
• Irreversible decoherence of dipole interacting nuclear spins coupled with a phonon bath
• Experimental and theoretical investigations of quantum state transfer and decoherence processes in quasi-one-dimensional systems in multiple-quantum NMR experiments
• Quantum entanglement and quantum discord in dimers in multiple quantum NMR experiments
• Peculiarities of Rabi oscillations and free induction decay in two-component nuclear spin systems with Ising nuclei interactions