Monte Carlo Hamiltonian from Stochastic Basis

Details Monte Carlo Hamiltonian from Stochastic Basis Monte Carlo Hamiltonian from Stochastic Basis

1999-12-10

arxiv.org/abs/quant-ph/9912051v2

Phys.Lett. A299 (2002) 483-493

Physics

Quantum Physics

revised version, new figures. Text (LaTeX), 4 Figs. (eps), style file

Scientific paper

10.1016/S0375-9601(02)00750-8

In order to extend the recently proposed Monte Carlo Hamiltonian to many-body systems, we suggest to concept of a stochastic basis. We apply it to the chain of $N_s=9$ coupled anharmonic oscillators. We compute the spectrum of excited states in a finite energy window and thermodynamical observables free energy, average energy, entropy and specific heat in a finite temperature window. Comparing the results of the Monte Carlo Hamiltonian with standard Lagrangian lattice calculations, we find good agreement. However, the Monte Carlo Hamiltonian results show less fluctuations under variation of temperature.

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