Spin polarization through Floquet resonances in a driven central spin model

Abstract

Adiabatically varying the driving frequency of a periodically-driven many-body quantum system can induce controlled transitions between resonant eigenstates of the time-averaged Hamiltonian, corresponding to adiabatic transitions in the Floquet spectrum and presenting a general tool in quantum many-body control. Using the central spin model as an application, we show how such controlled driving processes can lead to a polarization-based decoupling of the central spin from its decoherence-inducing environment at resonance. While it is generally impossible to obtain the exact Floquet Hamiltonian in driven interacting systems, we exploit the integrability of the central spin model to show how techniques from quantum quenches can be used to explicitly construct the Floquet Hamiltonian in a restricted many-body basis and model Floquet resonances.

6+4 pages

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• Asymptotic Prethermalization in Periodically Driven Classical Spin Chains
• Reinforcement learning for autonomous preparation of Floquet-engineered states: Inverting the quantum Kapitza oscillator
• Integrable many-body quantum Floquet-Thouless pumps
• Condensed Matter Physics in Time Crystals
• Integrability and dark states in an anisotropic central spin model
• Exact quantum dynamics of XXZ central spin problems
• Integrable spin-1/2 Richardson-Gaudin XYZ models in an arbitrary magnetic field
• Out-of-equilibrium phase transitions induced by Floquet resonances in a periodically quench-driven XY spin chain
• Persistent dark states in anisotropic central spin models
• Optimal energy storage and collective charging speedup in the central-spin quantum battery
• Entangled states of dipolar bosons generated in a triple-well potential
• Quadratic operator relations and Bethe equations for spin-1/2 Richardson-Gaudin models
• Spin-chain-star systems: entangling multiple chains of spin qubits
• Interplay of spin mode locking and nuclei-induced frequency focusing in quantum dots
• Integrability and quench dynamics in the spin-1 central spin XX model
• Richardson-Gaudin models and broken integrability
• Integrability, multifractality, and two-photon dynamics in disordered Tavis-Cummings models
• "Bethe-Ansatz-free" eigenstates of spin-1/2 Richardson-Gaudin integrable models
• Geometric Floquet Condition for Quantum Adiabaticity
• Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering
• Decoherence dynamics of entangled quantum states in the $XXX$ central spin model
• Dynamics and entanglement in quantum and quantum-classical systems: lessons for gravity