A simple variational approach to the quantum Frenkel-Kontorova model

Details A simple variational approach to the quantum Frenkel-Kontorova model A simple variational approach to the quantum Frenkel-Kontorova model

2000-08-09

arxiv.org/abs/cond-mat/0008142v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 2 figures

Scientific paper

10.1103/PhysRevE.63.016203

We present a simple and complete variational approach to the one-dimensional quantum Frenkel-Kontorova model. Dirac's time-dependent variational principle is adopted together with a Hatree-type many-body trial wavefunction for the atoms. The single-particle state is assumed to have the Jackiw-Kerman form. We obtain an effective classical Hamiltonian for the system which is simple enough for a complete numerical solution for the static ground state of the model. Numerical results show that our simple approach captures the essence of the quantum effects first observed in quantum Monte Carlo studies.

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