Path Integral Monte Carlo for Dissipative many-body Systems (Articolo in rivista)

Type
Label
  • Path Integral Monte Carlo for Dissipative many-body Systems (Articolo in rivista) (literal)
Anno
  • 2003-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1002/pssb.200301797 (literal)
Alternative label
  • Capriotti L., Cuccoli A., Fubini A., Tognetti V., Vaia R. (2003)
    Path Integral Monte Carlo for Dissipative many-body Systems
    in Physica status solidi. B, Basic research
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Capriotti L., Cuccoli A., Fubini A., Tognetti V., Vaia R. (literal)
Pagina inizio
  • 23 (literal)
Pagina fine
  • 38 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://onlinelibrary.wiley.com/doi/10.1002/pssb.200301797/abstract (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 237 (literal)
Rivista
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  • 16 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • - Istituto Nazionale per la Fisica della Materia (INFM), Unità di Ricerca di Firenze, via G. Sansone 1, 50019 Sesto Fiorentino, Italy - Kavly Institute for Theoretical Physics and Department of Physics, University of California, Santa Barbara CA 93106-4030 - Dipartimento di Fisica dell'Università di Firenze, via G. Sansone 1, 50019 Sesto Fiorentino, Italy - Istituto di Fisica Applicata 'N. Carrara' del Consiglio Nazionale delle Ricerche, via Panciatichi 56/30, 50127 Firenze, Italy (literal)
Titolo
  • Path Integral Monte Carlo for Dissipative many-body Systems (literal)
Abstract
  • We address the possibility of performing numerical Monte Carlo simulations for the thermodynamics of quantum dissipative systems. Dissipation is considered within the Caldeira-Leggett formulation, which describes the system in the path-integral formalism through the inclusion of an influence action that is bilocal and quadratic in the system's coordinates. At a first sight the usual direct approach of discretizing the path integral could seem feasible, but complications arise when one tries to introduce a physically meaningful dissipation kernel: in particular its imaginary-time dependence turns out to be severely singular and difficult to evaluate analytically, in spite of the simple expressions for its Matsubara components. We therefore propose to face the numerical problem using Fourier path-integral Monte Carlo, that can be formulated in two different ways: transforming the continuous paths and then truncating the high Fourier components (with possible improvements upon the truncation procedure), or performing the Fourier transformation upon the discretized paths. The latter choice leads to a simpler formulation and allows for a better control of the extrapolation to the limit of infinite Trotter number. The method is implemented for a single nonlinear particle with Ohmic dissipation and for a \phi^4 chain with Drude-like dissipation. (literal)
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