Atomic current in optical lattices: Esaki-Tsu equation revisited

Abstract

The paper discusses the master equation approach to derivation of the Esaki-Tsu equation for drift current. It is shown that the relaxation term in the master equation can be identified by measuring the velocity distribution of the carriers. We also show that the standard form of the relaxation term, used earlier to derive Esaki-Tsu equation, predicts unphysical velocity distribution and suggest a more elaborated relaxation term, which is argued to correctly capture the effect of bosonic bath in experiments on atomic current in optical lattices.

4 pages

References in corpus (4)

• Strongly inhibited transport of a 1D Bose gas in a lattice
• Atomic current across an optical lattice
• Two-Dimensional Dynamics of Ultracold Atoms in Optical Lattices
• Persistent current of atoms in a ring optical lattice

Cited by in corpus (9)

• Impurity transport through a strongly interacting bosonic quantum gas
• Dimerization transitions in spin-1 chains
• Bloch oscillations of bosonic lattice polarons
• New theoretical approaches to Bose polarons
• Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices
• From Bloch Oscillations to a Steady-State Current in Strongly Biased Mesoscopic Devices
• Hall conductivity beyond the linear response regime
• Resonant transmission of fermionic carriers: comparison between solid-state physics and quantum optics approaches
• Master equation approach to conductivity of bosonic and fermionic carriers in one- and two-dimensional lattices