Single shot imaging of trapped Fermi gas

Abstract

Recently developed techniques allow for simultaneous measurements of the positions of all ultra cold atoms in a trap with high resolution. Each such single shot experiment detects one element of the quantum ensemble formed by the cloud of atoms. Repeated single shot measurements can be used to determine all correlations between particle positions as opposed to standard measurements that determine particle density or two-particle correlations only. In this paper we discuss the possible outcomes of such single shot measurements in case of cloud of ultra-cold non-interacting Fermi atoms. We show that the Pauli exclusion principle alone leads to correlations between particle positions that originate from unexpected spatial structures formed by the atoms.

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• Dynamics of Ultracold Bosons in Artificial Gauge Fields: Angular Momentum, Fragmentation, and the Variance of Entropy
• Fractional quantum Hall physics and higher-order momentum correlations in a few spinful fermionic contact-interacting ultracold atoms in rotating traps
• Experimentally accessible invariants encoded in interparticle correlations of harmonically trapped ultra-cold few-fermion mixtures
• Pauli crystal melting in shaken optical traps
• Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring
• Statistical interaction description of Pauli crystals in two-dimensional systems of harmonically confined fermions
• An investigation of pre-crystalline order, ruling out Pauli crystals and introducing Pauli anti-crystals
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• Pauli crystals in harmonic trap and on a sphere
• Impurity immersed in a two-component few-fermion mixture in a one-dimensional harmonic trap
• Optimized Observable Readout from Single-shot Images of Ultracold Atoms via Machine Learning