Incorporating exact two-body propagators for zero-range interactions into $N$-body Monte Carlo simulations

Abstract

Ultracold atomic gases are, to a very good approximation, described by pairwise zero-range interactions. This paper demonstrates that $N$-body systems with two-body zero-range interactions can be treated reliably and efficiently by the finite temperature and ground state path integral Monte Carlo approaches, using the exact two-body propagator for zero-range interactions in the pair product approximation. Harmonically trapped one- and three-dimensional systems are considered. A new propagator for the harmonically trapped two-body system with infinitely strong zero-range interaction, which may also have applications in real time evolution schemes, is presented.

11 pages, 6 figures

References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Verification of universal relations in a strongly interacting Fermi gas
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
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• Exact ground state Monte Carlo method for Bosons without importance sampling
• Short-range correlations and entropy in ultracold atomic Fermi gases
• Monte Carlo Simulations of the Unitary Bose Gas
• Cold Fermionic Atoms in Two-Dimensional Traps -- Pairing versus Hund's Rule
• Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics
• Monte Carlo calculations for Fermi gases in the unitary limit with a zero-range interaction

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• Tunneling dynamics of two interacting one-dimensional particles
• Energy and structural properties of $N$-boson clusters attached to three-body Efimov states: Two-body zero-range interactions and the role of the three-body regulator
• Thermodynamics, contact and density profiles of the repulsive Gaudin-Yang model
• Ab-initio variational wave functions for the time-dependent many-electron Schrödinger equation
• Contact interaction in an unitary ultracold Fermi gas
• Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
• Broken scale-invariance in time-dependent trapping potentials
• Momentum distribution in the unitary Bose gas from first principles
• Roton excitations and the fluid-solid phase transition in superfluid 2D Yukawa Bosons
• Generalization of the Fermi Pseudopotential
• Pair Approximating the Action For Molecular Rotations in Path Integral Monte Carlo
• Toward an automated-algebra framework for high orders in the virial expansion of quantum matter
• Thermodynamics and Tomonaga-Luttinger liquid behavior of the quantum 1D hard rod model
• Strongly dipolar molecular Bose-Einstein condensates: From few- to many-body physics
• Hole-induced anomaly in the thermodynamic behavior of a one-dimensional Bose gas