Thermal bosons in 3d optical lattices via tensor networks

Area of Science:

• Quantum simulation
• Condensed matter physics
• Ultracold atomic gases

Background:

• Ultracold atoms in optical lattices offer a powerful platform for simulating complex quantum systems.
• Current numerical methods struggle to accurately model low-temperature experiments in realistic 3D lattice geometries.

Purpose of the Study:

• To introduce an efficient tensor network algorithm for simulating thermal states of local Hamiltonians.
• To enable accurate numerical benchmarking of experiments involving ultracold atoms in optical lattices.

Main Methods:

• Development of a novel tensor network algorithm applicable to infinite lattices in any dimension.
• Application of the algorithm to simulate thermal bosons within the Bose-Hubbard model.

Main Results:

• Accurate simulation of thermal bosons in optical lattices, specifically on pyrochlore and cubic lattices.
• Demonstration of the algorithm's capability to handle both soft-core and hard-core Bose-Hubbard models.

Conclusions:

• The developed tensor network algorithm provides an accurate and efficient tool for simulating strongly correlated systems.
• This technique is ideal for benchmarking current and future optical-lattice experiments in quantum simulation.