6533b7d4fe1ef96bd126350c
RESEARCH PRODUCT
Accessing finite momentum excitations of the one-dimensional Bose-Hubbard model using superlattice modulation spectroscopy
Jean-sébastien BernierCorinna KollathEdmond OrignacKarla LoidaRoberta Citrosubject
BosonizationPhysicsCondensed Matter::Quantum GasesCondensed matter physics[PHYS.COND.GAS]Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas]Density matrix renormalization groupMott insulatorSuperlatticeFOS: Physical sciencesBose–Hubbard model01 natural sciencesAtomic and Molecular Physics and Optics010305 fluids & plasmasSuperfluidityBose-Hubbard modelQuantum Gases (cond-mat.quant-gas)Atomic and Molecular PhysicsDMRG0103 physical sciencesBosonizationand Optics010306 general physicsCondensed Matter - Quantum GasesFrequency modulationBosondescription
We investigate the response to superlattice modulation of a bosonic quantum gas confined to arrays of tubes emulating the one-dimensional Bose-Hubbard model. We demonstrate, using both time-dependent density matrix renormalization group and linear response theory, that such a superlattice modulation gives access to the excitation spectrum of the Bose-Hubbard model at finite momenta. Deep in the Mott-insulator, the response is characterized by a narrow energy absorption peak at a frequency approximately corresponding to the onsite interaction strength between bosons. This spectroscopic technique thus allows for an accurate measurement of the effective value of the interaction strength. On the superfluid side, we show that the response depends on the lattice filling. The system can either respond at infinitely small values of the modulation frequency or only above a frequency threshold. We discuss our numerical findings in light of analytical results obtained for the Lieb-Liniger model. In particular, for this continuum model, bosonization predicts power-law onsets for both responses.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-09-14 |