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- W2945585341 abstract "We propose a new protocol for engineering quantum many-body Hamiltonians with enhanced symmetries. The protocol is based on repeated pulsed application of a set of unitary operators $X_i$, with $X_i^2 = 1$, (which can be generalized to $X^n=1$, $n > 2$) in a self-similar-in-time (polyfractal) manner. For local initial Hamiltonians, the protocol can simultaneously implement multiple global and local symmetries, with the accuracy improving superpolynomially with the fastest drive period. The effective Hamiltonian remains local and avoids heating over time scales that are stretched-exponentially long in the drive frequency. Such Floquet engineering can be used to realize novel quantum models, or in the case when two or more global symmetries $X_i$ anti-commute, engender a degenerate many-body spectrum that can be used to encode topological qubits controlled precisely by the same $X_i$." @default.
- W2945585341 created "2019-05-29" @default.
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- W2945585341 date "2019-05-15" @default.
- W2945585341 modified "2023-10-18" @default.
- W2945585341 title "Polyfractal driving for engineering Hamiltonians and symmetries" @default.
- W2945585341 hasPublicationYear "2019" @default.
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