On the nonlinear response of a particle interacting with fermions in a 1D lattice
arXiv:1004.4353 · doi:10.1088/1742-5468/2010/12/L12003
Abstract
By the Bethe ansatz method we study the energy dispersion of a particle interacting by a local interaction with fermions (or hard core bosons) of equal mass in a one dimensional lattice. We focus on the period of the Bloch oscillations which turns out to be related to the Fermi wavevector of the Fermi sea and in particular on how this dispersion emerges as a collective effect in the thermodynamic limit. We show by symmetry that the dispersion is temperature independent for a half-filled system. We also discuss the adiabatic coherent collective response of the particle to an applied field.
4 pages, 4 figures
References in corpus (7)
- Breakdown of the adiabatic limit in low dimensional gapless systems
- Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
- Quantum transport through a Tonks-Girardeau gas
- Heat conduction in low-dimensional quantum magnets
- Bloch oscillations in one-dimensional spinor gas
- Spin conductivity in almost integrable spin chains
- Motion of an impurity particle in an ultracold quasi-one-dimensional gas of hard-core bosons