Stabilization and manipulation of multispin states in quantum-dot time crystals with Heisenberg interactions

Abstract

A discrete time crystal is a recently discovered non-equilibrium phase of matter that has been shown to exist in disordered, periodically driven Ising spin chains. In this phase, if the system is initially prepared in one of a certain class of pure multispin product states, it periodically returns to this state over very long time scales despite the presence of interactions, disorder, and pulse imperfections. Here, we show that this phase occurs in GaAs quantum dot spin arrays containing as few as three quantum dots, each confining one electron spin, for naturally occurring levels of nuclear spin noise and charge noise. Although the physical interaction in these arrays is a nearest-neighbor Heisenberg exchange interaction, we show that this can be effectively converted into an Ising interaction by applying additional pulses during each drive period. We show that by changing the rotation axis of these pulses, we can select the direction of the Ising interaction and, consequently, the quantization axis of the stabilized multispin states. Moreover, we demonstrate that it is possible to perform coherent rotations of the stabilized states while remaining in the time crystal phase. These findings open up the intriguing possibility of using time crystal phases to extend the lifetime of quantum states for information applications.

arXiv comment11 pages, 14 figures, PRB version

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Cited by in corpus (16)

• Discrete Time Crystals
• Site-selective quantum control in an isotopically enriched 28Si/SiGe quadruple quantum dot
• Coherent multi-spin exchange coupling in a quantum-dot spin chain
• Signatures of discrete time-crystallinity in transport through an open Fermionic chain
• Floquet-Enhanced Spin Swaps
• Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
• Protecting Quantum Information in Quantum Dot Spin Chains by Driving Exchange Interactions Periodically
• Discrete time crystal in the gradient field Heisenberg model
• Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain Without Disorder
• Time-crystalline behavior in central-spin models with Heisenberg interactions
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• Time Crystals from single-molecule magnet arrays
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• Effects of leakage on the realization of a discrete time crystal in a chain of singlet-triplet qubits
• Realizable time crystal of four silicon quantum dot qubits