# Worm Algorithm for Continuous-Space Path Integral Monte Carlo Simulations

## Abstract

We present a new approach to path integral Monte Carlo (PIMC) simulations based on the worm algorithm, originally developed for lattice models and extended here to continuous-space many-body systems. The scheme allows for efficient computation of thermodynamic properties, including winding numbers and off-diagonal correlations, for systems of much greater size than that accessible to conventional PIMC simulations. As an illustrative application of the method, we simulate the superfluid transition of {sup 4}He in two dimensions.

- Authors:

- Department of Physics, University of Alberta, Edmonton, Alberta T6G 2J1 (Canada)
- (United States)
- (Russian Federation)
- Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003 (United States)

- Publication Date:

- OSTI Identifier:
- 20777030

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 96; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevLett.96.070601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE; ALGORITHMS; COMPUTERIZED SIMULATION; CORRELATIONS; HELIUM 4; LATTICE FIELD THEORY; MANY-BODY PROBLEM; MONTE CARLO METHOD; PATH INTEGRALS; SUPERFLUIDITY; THERMODYNAMIC PROPERTIES

### Citation Formats

```
Boninsegni, Massimo, Prokof'ev, Nikolay, Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, Russian Research Center 'Kurchatov Institute', 123182 Moscow, Department of Physics, Cornell University, Ithaca, New York 14850, Svistunov, Boris, and Russian Research Center 'Kurchatov Institute', 123182 Moscow.
```*Worm Algorithm for Continuous-Space Path Integral Monte Carlo Simulations*. United States: N. p., 2006.
Web. doi:10.1103/PhysRevLett.96.070601.

```
Boninsegni, Massimo, Prokof'ev, Nikolay, Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, Russian Research Center 'Kurchatov Institute', 123182 Moscow, Department of Physics, Cornell University, Ithaca, New York 14850, Svistunov, Boris, & Russian Research Center 'Kurchatov Institute', 123182 Moscow.
```*Worm Algorithm for Continuous-Space Path Integral Monte Carlo Simulations*. United States. doi:10.1103/PhysRevLett.96.070601.

```
Boninsegni, Massimo, Prokof'ev, Nikolay, Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, Russian Research Center 'Kurchatov Institute', 123182 Moscow, Department of Physics, Cornell University, Ithaca, New York 14850, Svistunov, Boris, and Russian Research Center 'Kurchatov Institute', 123182 Moscow. Fri .
"Worm Algorithm for Continuous-Space Path Integral Monte Carlo Simulations". United States.
doi:10.1103/PhysRevLett.96.070601.
```

```
@article{osti_20777030,
```

title = {Worm Algorithm for Continuous-Space Path Integral Monte Carlo Simulations},

author = {Boninsegni, Massimo and Prokof'ev, Nikolay and Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003 and Russian Research Center 'Kurchatov Institute', 123182 Moscow and Department of Physics, Cornell University, Ithaca, New York 14850 and Svistunov, Boris and Russian Research Center 'Kurchatov Institute', 123182 Moscow},

abstractNote = {We present a new approach to path integral Monte Carlo (PIMC) simulations based on the worm algorithm, originally developed for lattice models and extended here to continuous-space many-body systems. The scheme allows for efficient computation of thermodynamic properties, including winding numbers and off-diagonal correlations, for systems of much greater size than that accessible to conventional PIMC simulations. As an illustrative application of the method, we simulate the superfluid transition of {sup 4}He in two dimensions.},

doi = {10.1103/PhysRevLett.96.070601},

journal = {Physical Review Letters},

number = 7,

volume = 96,

place = {United States},

year = {Fri Feb 24 00:00:00 EST 2006},

month = {Fri Feb 24 00:00:00 EST 2006}

}

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