dorsal/arxiv
View SchemaMonte Carlo Hamiltonian from Stochastic Basis
| Authors | C. Q. Huang, H. Kröger, X. Q. Luo, K. J. M. Moriarty |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9912051 |
| URL | https://arxiv.org/abs/quant-ph/9912051 |
| DOI | 10.1016/S0375-9601(02)00750-8 |
| Journal | Phys.Lett. A299 (2002) 483-493 |
Abstract
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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"date_created": "2026-03-02T18:02:48.426000Z",
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"abstract": "In order to extend the recently proposed Monte Carlo Hamiltonian to many-body\nsystems, we suggest to concept of a stochastic basis. We apply it to the chain\nof $N_s=9$ coupled anharmonic oscillators. We compute the spectrum of excited\nstates in a finite energy window and thermodynamical observables free energy,\naverage energy, entropy and specific heat in a finite temperature window.\nComparing the results of the Monte Carlo Hamiltonian with standard Lagrangian\nlattice calculations, we find good agreement. However, the Monte Carlo\nHamiltonian results show less fluctuations under variation of temperature.",
"arxiv_id": "quant-ph/9912051",
"authors": [
"C. Q. Huang",
"H. Kr\u00f6ger",
"X. Q. Luo",
"K. J. M. Moriarty"
],
"categories": [
"quant-ph",
"hep-lat"
],
"doi": "10.1016/S0375-9601(02)00750-8",
"journal_ref": "Phys.Lett. A299 (2002) 483-493",
"title": "Monte Carlo Hamiltonian from Stochastic Basis",
"url": "https://arxiv.org/abs/quant-ph/9912051"
},
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