Path-integral Monte Carlo simulations without the sign problem: multilevel blocking approach for effective actions

نویسندگان

  • Egger
  • Muhlbacher
  • Mak
چکیده

The multilevel blocking algorithm recently proposed as a possible solution to the sign problem in path-integral Monte Carlo simulations has been extended to systems with long-ranged interactions along the Trotter direction. As an application, results for the real-time quantum dynamics of the spin-boson model are presented.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Path Integral Monte Carlo Calculation of the Momentum Distribution of the Homogeneous Electron Gas at Finite Temperature

Path integral Monte Carlo (PIMC) simulations are used to calculate the momentum distribution of the homogeneous electron gas at finite temperature. This is done by calculating the off-diagonal elements of the real-space density matrix, represented in PIMC by open paths. It is demonstrated how the restricted path integral Monte Carlo methods can be extended in order to deal with open paths in fe...

متن کامل

Path Integral Simulations of the Thermodynamic Properties of Quantum Dense Plasma

A novel path integral representation of the many-particle density operator is presented which makes direct Fermionic path integral Monte Carlo simulations feasible over a wide range of parameters. The method is applied to compute the energy of a dense hydrogen plasma in the region of intermediate coupling and degeneracy and is compared to analytical and experimental results. Many interesting ph...

متن کامل

Computational Methods for Correlated Quantum Systems

II. Classical and Path Integral Monte Carlo (Filinov, Bonitz; Nov. 10,12,14, 17) a) Introduction to classical Metropolis Monte Carlo b) Quantum Statistics, Density matrix c) Feynman’s path integral. Mapping onto an effective classical system d) Spin statistics, exchange, Fermion sign problem e) Generalized Metropolis algorithm for quantum systems, PIMC f) High-temperature N-particle density mat...

متن کامل

Non-Perturbative Approach to Nearly Antiferromagnetic Fermi Liquids

We present a non-perturbative approach to the problem of quasiparticles coupled to spin-fluctuations. If the fully dressed spin-fluctuation propagator is used in the Feynman graph expansion of the single particle Green’s function, the problem of summing all spin-fluctuation exchange Feynman graphs (i.e all the graphs without fermion loops) can be cast as a functional integral over Gaussian dist...

متن کامل

Efficient Calculation of Energy Spectra Using Path Integrals ⋆

A newly developed method for systematically improving the convergence of path integrals for transition amplitudes, introduced in Phys. is here applied to the efficient calculation of energy spectra. We show how the derived hierarchies of effective actions lead to substantial speedup of the standard path integral Monte Carlo evaluation of energy levels. The general results and the ensuing increa...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

دوره 61 5B  شماره 

صفحات  -

تاریخ انتشار 2000