Conductivity with cold atoms in optical lattices

A R Kolovsky
2009 Journal of Statistical Mechanics: Theory and Experiment  
This paper studies a simple model of conductivity-a quantum particle (an atom) in a lattice, subject to a static field and interacting with the bath of Bose atoms. Results from direct numerical simulations of the system dynamics and statistical analysis of the eigenstates are compared with predictions from linear response theory, analytical solutions of the master equation, and the theory of quantum chaos. It is shown, in particular, that the behavior of the current-current correlation
more » ... orrelation function, entering Kubo's equation, is entirely defined by the chaotic properties of the system and that the phenomenological relaxation constant, entering the master equation, is actually encoded in this correlation function. Conductivity with cold atoms defined by chaotic properties of the system and that the phenomenological relaxation constant, entering the master equation, is actually encoded in this correlation function. The paper consists of a number of short sections discussing particular problems, with the main results summarized in the last part, section 10. The model We consider a quantum particle (an atom) in a lattice, subject to a static field and interacting with the bath of Bose atoms,
doi:10.1088/1742-5468/2009/02/p02018 fatcat:dxot77kjxjfknglukzbwxno2ti