Path integral Monte Carlo for dissipative many-body systems

Details Path integral Monte Carlo for dissipative many-body systems Path integral Monte Carlo for dissipative many-body systems

2002-11-20

arxiv.org/abs/cond-mat/0211450v1

Phys. Stat. Sol. (b) 237, 23 (2003)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 5 figures, contribution to the "Festschrift" dedicated to Prof. Jozef T. Devreese

Scientific paper

10.1002/pssb.200301797

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.

Affiliated with

Also associated with

No associations

Rating

Path integral Monte Carlo for dissipative many-body systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Path integral Monte Carlo for dissipative many-body systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Path integral Monte Carlo for dissipative many-body systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-55160