Quantum simulations of localization effects with dipolar interactions

Abstract

Quantum information processing often uses systems with dipolar interactions. We use a nuclear spin-based quantum simulator, to study the spreading of information in such a dipolar-coupled system and how perturbations to the dipolar couplings limit the spreading, leading to localization. In [Phys. Rev. Lett. 104, 230403 (2010)], we found that the system reaches a dynamic equilibrium size, which decreases with the square of the perturbation strength. Here, we study the impact of a disordered Hamiltonian with dipolar 1/r^3 interactions. We show that the expansion of the coherence length of the cluster size of the spins becomes frozen in the presence of large disorder, reminiscent of Anderson localization of non-interacting waves in a disordered potential.

10 pages, 12 figures

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Cited by in corpus (15)

• Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
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• Quantum correlations and entanglement in far-from-equilibrium spin systems
• Maximizing information on the environment by dynamically controlled qubit probes
• Coherence orders, decoherence and quantum metrology
• Non-Hermitian Rosenzweig-Porter random-matrix ensemble: Obstruction to the fractal phase
• Quantum Bootstrapping via Compressed Quantum Hamiltonian Learning
• Dynamics of quantum information scrambling under decoherence effects measured via active spins clusters
• Operator Growth from Global Out-of-time-order Correlators
• Criticality of environmental information obtainable by dynamically controlled quantum probes
• Semiclassical excited-state signatures of quantum phase transitions in spin chains with variable-range interactions
• Path integral framework for characterizing and controlling decoherence induced by non-stationary environments on a quantum probe
• Space-Time Duality between Quantum Chaos and Non-Hermitian Boundary Effect
• Global Out of Time Order Correlators as a Signature of Scrambling Dynamics of Local Observables
• Manifestation of critical effects in environmental parameter estimation using a quantum sensor under dynamical control