Equation of State of Ultracold Fermions in the 2D BEC-BCS Crossover Region
I. Boettcher, L. Bayha, D. Kedar, P. A. Murthy, M. Neidig, M. G. Ries,, A. N. Wenz, G. Z\"urn, S. Jochim, T. Enss

TL;DR
This study experimentally measures the equation of state of a 2D Fermi gas across the BEC-BCS crossover, revealing significant interaction effects and comparing results with theoretical models.
Contribution
First experimental measurement of the 2D Fermi gas equation of state across the BEC-BCS crossover with comparison to advanced theories.
Findings
Interactions cause large renormalization of density.
Data aligns with Quantum Monte Carlo and Luttinger-Ward predictions.
Results inform studies of dynamics and transport in 2D systems.
Abstract
We report the experimental measurement of the equation of state of a two-dimensional Fermi gas with attractive s-wave interactions throughout the crossover from a weakly coupled Fermi gas to a Bose gas of tightly bound dimers as the interaction strength is varied. We demonstrate that interactions lead to a renormalization of the density of the Fermi gas by several orders of magnitude. We compare our data near the ground state and at finite temperature to predictions for both fermions and bosons from Quantum Monte Carlo simulations and Luttinger-Ward theory. Our results serve as input for investigations of close-to-equilibrium dynamics and transport in the two-dimensional system.
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