Periodically Driven Many-Body Systems: A Floquet Density Matrix Renormalization Group Study

Driving a quantum system periodically in time can profoundly alter its long-time correlations and give rise to exotic quantum states of matter. The complexity of the combination of many-body correlations and dynamic manipulations has the potential to uncover a whole field of new phenomena, but the t...

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Bibliographic Details
Published inarXiv.org
Main Authors Sahoo, Shaon, Schneider, Imke, Eggert, Sebastian
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 31.05.2019
Subjects
Antiferromagnetism
Correlation
Density
Numerical methods
Quantum theory
Static models
Superposition (mathematics)
Time dependence
Variations
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Summary:Driving a quantum system periodically in time can profoundly alter its long-time correlations and give rise to exotic quantum states of matter. The complexity of the combination of many-body correlations and dynamic manipulations has the potential to uncover a whole field of new phenomena, but the theoretical and numerical understanding becomes extremely difficult. We now propose a promising numerical method by generalizing the density matrix renormalization group to a superposition of Fourier components of periodically driven many-body systems using Floquet theory. With this method we can study the full time-dependent quantum solution in a large parameter range for all evolution times, beyond the commonly used high-frequency approximations. Numerical results are presented for the isotropic Heisenberg antiferromagnetic spin-1/2 chain under both local(edge) and global driving for spin-spin correlations and temporal fluctuations. As the frequency is lowered, we demonstrate that more and more Fourier components become relevant and determine strong length- and frequency-dependent changes of the quantum correlations that cannot be described by effective static models.
ISSN:2331-8422