Path integral molecular dynamics for thermodynamics and Green's function of ultracold spinor bosons

Abstract

Most recently, the path integral molecular dynamics has been successfully used to consider the thermodynamics of single-component identical bosons and fermions. In this work, the path integral molecular dynamics is developed to simulate the thermodynamics, Green's function and momentum distribution of two-component bosons in three dimensions. As an example of our general method, we consider the thermodynamics of up to sixteen bosons in a three-dimensional harmonic trap. For noninteracting spinor bosons, our simulation shows a bump in the heat capacity. As the repulsive interaction strength increases, however, we find the gradual disappearance of the bump in the heat capacity. We believe this simulation result can be tested by ultracold spinor bosons with optical lattices and magnetic-field Feshbach resonance to tune the inter-particle interaction. We also calculate Green's function and momentum distribution of spinor bosons. Our work facilitates the exact numerical simulation of spinor bosons, whose property is one of the major problems in ultracold Bose gases.

arXiv comment20 pages, 8 figures, Accepted by The Journal of Chemical Physics

References in corpus (21)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Feshbach Resonances in Ultracold Gases
• Spinor Bose-Einstein condensates
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Nuclear quantum effects enter the mainstream
• Observation of dipole-dipole interaction in a degenerate quantum gas
• Observation of metastable states in spinor Bose-Einstein condensates
• The Fermion Sign Problem in Path Integral Monte Carlo Simulations: Quantum Dots, Ultracold Atoms, and Warm Dense Matter
• The liquid state of one-dimensional Bose mixtures: a quantum Monte-Carlo study
• Path Integral Molecular Dynamics for Bosons
• Quantum droplets in one-dimensional Bose mixtures: a quantum Monte-Carlo study
• The Schrödinger formulation of the Feynman path centroid density
• Path Integral Molecular Dynamics for Fermions: Alleviating the Sign Problem with the Bogoliubov Inequality
• Spin-orbit-angular-momentum coupling in a spin-1 Bose-Einstein condensate
• Prediction of a supersolid phase in high-pressure deuterium
• Monte Carlo Simulations of the Unitary Bose Gas
• Quantum correlations and degeneracy of identical bosons in a 2D harmonic trap
• Critical Temperature and Condensate Fraction of the Trapped Interacting Bose Gas with Finite-size Effects
• Thermodynamics of a dilute Bose gas: A path-integral Monte Carlo study
• Path integral molecular dynamics simulations for Green's function in a system of identical bosons

Cited by in corpus (5)

• On the thermodynamic properties of fictitious identical particles and the application to fermion sign problem
• On the thermodynamics of fermions at any temperature based on parametrized partition function
• Quadratic Scaling Bosonic Path Integral Molecular Dynamics
• Quadratic scaling path integral molecular dynamics for fictitious identical particles and its application to fermion systems
• GPU acceleration of ab initio simulations of large-scale identical particles based on path integral molecular dynamics