Non-linear response of interacting bosons in a quasiperiodic potential

Fuente: arXiv
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Autores principales: Dutta, Debamalya, Roy, Arko, Saha, Kush
Formato: Preprint
Publicado: 2022
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author Dutta, Debamalya
Roy, Arko
Saha, Kush
author_facet Dutta, Debamalya
Roy, Arko
Saha, Kush
contents We theoretically study the electric pulse-driven non-linear response of interacting bosons loaded in an optical lattice in the presence of an incommensurate superlattice potential. In the non-interacting limit $(U=0)$, the model admits both localized and delocalized phases depending on the strength of the incommensurate potential $V_0$. We show that the particle current contains only odd harmonics in the delocalized phase in contrast to the localised phase where both even and odd harmonics are identified. The relative magnitudes of these even and odd harmonics and sharpness of the peaks can be tuned by varying frequency and the number of cycles of the applied pulse, respectively. In the presence of repulsive interactions, the amplitudes of the even and odd harmonics further depend on the relative strengths of the interaction $U$ and the potential $V_0$. We illustrate that the disorder and interaction-induced phases can be distinguished and characterized through the particle current. Finally, we discuss the dynamics of field induced excitation responsible for exhibiting higher harmonics in the current spectrum.
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id arxiv_https___arxiv_org_abs_2205_06554
institution arXiv
publishDate 2022
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spellingShingle Non-linear response of interacting bosons in a quasiperiodic potential
Dutta, Debamalya
Roy, Arko
Saha, Kush
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Quantum Gases
We theoretically study the electric pulse-driven non-linear response of interacting bosons loaded in an optical lattice in the presence of an incommensurate superlattice potential. In the non-interacting limit $(U=0)$, the model admits both localized and delocalized phases depending on the strength of the incommensurate potential $V_0$. We show that the particle current contains only odd harmonics in the delocalized phase in contrast to the localised phase where both even and odd harmonics are identified. The relative magnitudes of these even and odd harmonics and sharpness of the peaks can be tuned by varying frequency and the number of cycles of the applied pulse, respectively. In the presence of repulsive interactions, the amplitudes of the even and odd harmonics further depend on the relative strengths of the interaction $U$ and the potential $V_0$. We illustrate that the disorder and interaction-induced phases can be distinguished and characterized through the particle current. Finally, we discuss the dynamics of field induced excitation responsible for exhibiting higher harmonics in the current spectrum.
title Non-linear response of interacting bosons in a quasiperiodic potential
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Quantum Gases
url https://arxiv.org/abs/2205.06554