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Engineering prethermal symmetric Hamiltonians with polyfractal driving

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Ivar Martin
Condensed Matter Physics
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Authors

Ivar Martin, Kartiek Agarwal

Abstract

We construct a dynamical decoupling protocol for accurately generating local and global symmetries in general many-body systems. Multiple commuting and non-commuting symmetries can be created by means of a self-similar-in-time ("polyfractal") drive. The result is an effective Floquet Hamiltonian that remains local and avoids heating over exponentially long times. This approach can be used to realize a wide variety of quantum models, and non-equilibrium quantum phases.

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2 comments

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scicastboard

What does "ptrethermal" mean: is it a property of a Hamiltonian or a state?

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toivar

It is the property of Hamiltonian. In the presence of the drive, there is an effective DC hamiltonian that accurately captures the stroboscopic evolution of any state over long time spans

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