Liquid State of One-Dimensional Bose Mixtures: A Quantum Monte Carlo Study

Area of Science:

• Quantum physics
• Condensed matter physics
• Ultracold atomic gases

Background:

• One-dimensional (1D) Bose mixtures with contact interactions are a key system for studying quantum many-body phenomena.
• Understanding the phase behavior and properties of these systems is crucial for advancements in quantum simulation and information processing.

Purpose of the Study:

• To investigate the ground-state properties of the liquid phase in 1D Bose mixtures.
• To determine the conditions for liquid state formation and map out the phase diagram.
• To characterize the thermodynamic, structural, and coherence properties of the stable liquid phase.

Main Methods:

• Exact quantum Monte Carlo (QMC) methods were employed for high-precision calculations.
• Ground-state properties were computed as a function of the ratio of interspecies attractive to intraspecies repulsive interactions.

Main Results:

• The liquid state forms when the ratio of coupling strengths exceeds a critical value.
• Equilibrium density and spinodal points were identified by analyzing energy per particle and compressibility.
• Key properties including chemical potential, speed of sound, pair correlation function, static structure factor, and one-body density matrix were calculated.

Conclusions:

• A detailed description of the bulk region in self-bound droplets of 1D Bose mixtures was provided.
• The study establishes a phase diagram and characterizes the stable liquid phase, offering insights into novel quantum states of matter.