Nonlinear dynamical response of interacting bosons to synthetic electric field

We theoretically study the nonlinear response of interacting neutral bosonic gas in a synthetically driven one-dimensional optical lattice. In particular, we examine the bosonic analog of electronic higher harmonic generation in a strong time-dependent synthetic vector potential manifesting itself a...

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Main Authors: Arko Roy, Soumya Bera, Kush Saha
Format: Article
Language:English
Published: American Physical Society 2020-10-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.043133
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author Arko Roy
Soumya Bera
Kush Saha
author_facet Arko Roy
Soumya Bera
Kush Saha
author_sort Arko Roy
collection DOAJ
description We theoretically study the nonlinear response of interacting neutral bosonic gas in a synthetically driven one-dimensional optical lattice. In particular, we examine the bosonic analog of electronic higher harmonic generation in a strong time-dependent synthetic vector potential manifesting itself as the synthetic electric field. We show that the vector potential can generate reasonably high harmonics in the insulating regime, while the superfluid regime exhibits only a few harmonics. In the insulating regime, the number of harmonics increases with the increase in the strength of the vector potential. This originates primarily due to the field-driven resonant and nonresonant excitations in the neutral Mott state and their recombination with the ground state. If the repulsive interaction between two atoms (U) is close to the strength of the gauge potential (A_{0}), the resonant quasiparticle-quasihole pairs on nearest-neighbor sites, namely, dipole states, are found to a play a dominant role in generating higher harmonics. However, in the strong-field limit A_{0}≫U, the nonresonant states where quasiparticle-quasihole pairs are not on nearest-neighbor sites give rise to higher harmonics.
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spelling doaj.art-fd2cba0f004e4b33abfee73b0a783b602024-04-12T17:02:57ZengAmerican Physical SocietyPhysical Review Research2643-15642020-10-012404313310.1103/PhysRevResearch.2.043133Nonlinear dynamical response of interacting bosons to synthetic electric fieldArko RoySoumya BeraKush SahaWe theoretically study the nonlinear response of interacting neutral bosonic gas in a synthetically driven one-dimensional optical lattice. In particular, we examine the bosonic analog of electronic higher harmonic generation in a strong time-dependent synthetic vector potential manifesting itself as the synthetic electric field. We show that the vector potential can generate reasonably high harmonics in the insulating regime, while the superfluid regime exhibits only a few harmonics. In the insulating regime, the number of harmonics increases with the increase in the strength of the vector potential. This originates primarily due to the field-driven resonant and nonresonant excitations in the neutral Mott state and their recombination with the ground state. If the repulsive interaction between two atoms (U) is close to the strength of the gauge potential (A_{0}), the resonant quasiparticle-quasihole pairs on nearest-neighbor sites, namely, dipole states, are found to a play a dominant role in generating higher harmonics. However, in the strong-field limit A_{0}≫U, the nonresonant states where quasiparticle-quasihole pairs are not on nearest-neighbor sites give rise to higher harmonics.http://doi.org/10.1103/PhysRevResearch.2.043133
spellingShingle Arko Roy
Soumya Bera
Kush Saha
Nonlinear dynamical response of interacting bosons to synthetic electric field
Physical Review Research
title Nonlinear dynamical response of interacting bosons to synthetic electric field
title_full Nonlinear dynamical response of interacting bosons to synthetic electric field
title_fullStr Nonlinear dynamical response of interacting bosons to synthetic electric field
title_full_unstemmed Nonlinear dynamical response of interacting bosons to synthetic electric field
title_short Nonlinear dynamical response of interacting bosons to synthetic electric field
title_sort nonlinear dynamical response of interacting bosons to synthetic electric field
url http://doi.org/10.1103/PhysRevResearch.2.043133
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AT soumyabera nonlineardynamicalresponseofinteractingbosonstosyntheticelectricfield
AT kushsaha nonlineardynamicalresponseofinteractingbosonstosyntheticelectricfield