Thermodynamics of two-dimensional bosons in the lowest Landau level

Abstract

We study the thermodynamics of short-range interacting, two-dimensional bosons constrained to the lowest Landau level. When the temperature is higher than other energy scales of the problem, the partition function reduces to a multidimensional complex integral that can be handled by classical Monte Carlo techniques. This approach takes the quantization of the lowest Landau level orbits fully into account. We observe that the partition function can be expressed in terms of a function of a single combination of thermodynamic variables, which allows us to derive exact thermodynamic relations. We determine the asymptotic behavior of this function and compute some thermodynamic observables numerically.

7 pages, 5 figures. A supplementary video is found via this https://youtu.be/4-nOKptY75w YouTube link

References in corpus (6)

• Many-Body Physics with Ultracold Gases
• Artificial gauge fields in materials and engineered systems
• Probing chiral edge dynamics and bulk topology of a synthetic Hall system
• Quantum Hall physics in rotating Bose-Einstein condensates
• Melting of the vortex lattice through intermediate hexatic fluid in a-MoGe thin film
• Dislocation-Mediated Melting in Superfluid Vortex Lattices

Cited by in corpus (4)

• Surface waves and bulk Ruderman mode of a bosonic superfluid vortex crystal in the lowest Landau level
• Approximate treatment of noncommutative curvature in quartic matrix model
• Scale Invariance in the Lowest Landau Level
• Pinpointing Triple Point of Noncommutative Matrix Model with Curvature