Nonequilibrium Quantum Breakdown in a Strongly Correlated Electron System

Details Nonequilibrium Quantum Breakdown in a Strongly Correlated Electron System Nonequilibrium Quantum Breakdown in a Strongly Correlated Electron System

2008-03-04

arxiv.org/abs/0803.0422v1

in " Quantum and Semi-classical Percolation and Breakdown in Disordered Solids" edited by A.K. Sen, K.K. Bardhan, B.K. Chakrab

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

The nonlinear transport properties of the Mott insulator are discussed with focus on the many-body Landau-Zener mechanism. After reviewing basic concepts such as the non-adiabatic geometric phase and the Schwinger mechanism, we study the decay of the insulating groundstate in strong electric fields using the time-dependent density matrix renormalization group. A short comment on the proposed mapping to the quantum walk model is added before discussing the relevance of the theory to experimental results. This article is a draft of a book chapter of the book entitled "Quantum and Semi-classical Percolation & Breakdown" (Lecture Note in Physics, Springer-Verlag), to appear 2008.

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