Non-linear dynamical response of interacting bosons to synthetic electric field

Abstract

We theoretically study the non-linear response of interacting neutral bosonic gas in a synthetically driven one-dimensional optical lattice. In particular, we examine the bosonic analogue 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 non-resonant 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 the generating higher harmonics. However, in the strong-field limit $A_0\gg U$, the nonresonant states where quasiparticle-quasihole pairs are not on nearest-neighbor sites give rise to higher harmonics.

8 pages, 8 figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
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• High harmonic generation from Bloch electrons in solids
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Mott insulators in strong electric fields
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Cited by in corpus (7)

• Strong laser physics, non-classical light states and quantum information science
• Analytical WKB theory for high-harmonic generation and its application to massive Dirac electrons
• Many-body effects on high-harmonic generation in Hubbard ladders
• Theory for Fourier-limited attosecond pulse generation in solids
• Conductivity of lattice bosons at high temperatures
• Non-linear response of interacting bosons in a quasiperiodic potential
• Frequency-selective amplification of nonlinear response in strongly correlated bosons