Sigature of the universal super Efimov Effect: three-body contact in two dimensional Fermi gases

Abstract

A new class of universal "three-body" bound states has been recently predicted theoretically for identical fermions interacting at p-wave resonance in two dimensions. This phenomenon is called the super Efimov effect since the binding energies of the states follow a intriguing double exponential scaling. However, experimental resolution of this scaling is expected to meet formidable challenges. In this work, we introduce a new thermodynamic quantity, the three-body contact $C_{\theta }$, to quantify three-body correlations in a two dimensional gas composed of the resonantly interacting fermions; the contact $C_{\theta }$ is the consequence of the underlying universal super Efimov effect in the many-body context. We show how $C_{\theta }$ affects physical observables such as the radio-frequency spectrum, the momentum distribution and the atom loss rate. Signature of the elusive super Efimov effect in the thermodynamic system can be pinned down by the detection of the three-body contact $C_{\theta }$ via these observables.

arXiv comment5 pages, 1 figure

References in corpus (45)

• Many-Body Physics with Ultracold Gases
• Universality in Few-body Systems with Large Scattering Length
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Energetics of a strongly correlated Fermi gas
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Universality in Three- and Four-Body Bound States of Ultracold Atoms
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Radio-Frequency Spectroscopy of Ultracold Fermions
• Verification of universal relations in a strongly interacting Fermi gas
• Universal dynamics of a degenerate unitary Bose gas
• Observation of universality in ultracold 7Li three-body recombination
• Universality of the Three-Body Parameter for Efimov States in Ultracold Cesium
• Number of closed-channel molecules in the BEC-BCS crossover
• Universal Properties of the Ultra-Cold Fermi Gas
• Cold Collision Frequency Shift of the 1S-2S Transition in Hydrogen
• Spectroscopic insensitivity to cold collisions in a two-state mixture of fermions
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
• Nuclear-spin-independent short-range three-body physics in ultracold atoms
• Universal Relations for Identical Bosons from 3-Body Physics
• Two and Three-body Contacts in the Unitary Bose Gas
• Precise determination of the structure factor and contact in a unitary Fermi gas
• Evidence for universal relations describing a gas with $p$-wave interactions
• Coherence and clock shifts in ultracold Fermi gases with resonant interactions
• Stability of the fermionic gases close to a p-wave Feshbach resonance
• Pseudo-gap pairing in ultracold Fermi atoms
• Observation of the Efimovian Expansion in Scale Invariant Fermi Gases
• Universal Properties of a Strongly Interacting Fermi Gas at a $p$-wave Resonance
• Super Efimov effect of resonantly interacting fermions in two dimensions
• Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions
• Two-body and Three-body Contacts for Identical Bosons near Unitarity
• Universal properties of Fermi gases in arbitrary dimensions
• Universal high-momentum asymptote and thermodynamic relations in a spinless Fermi gas with a resonant $p$-wave interaction
• Concept of contact spectrum and its applications in atomic quantum Hall states
• Spin-correlation functions in ultracold paired atomic-fermion systems: sum rules, self-consistent approximations, and mean fields
• Manipulation of p-wave scattering of cold atoms in low dimensions using the magnetic field vector
• Strongly Interacting p-wave Fermi Gas in Two-Dimensions: Universal Relations and Breathing Mode
• Borromean ground state of fermions in two dimensions
• High-momentum distribution with subleading $k^{-3}$ tail in the odd-wave interacting one-dimensional Fermi gases
• Collisional Frequency Shifts of Absorption Lines in an Atomic Hydrogen Gas
• Revealing the origin of super-Efimov states in the hyperspherical formalism
• P-Wave Contact Tensor -- Universal Properties of Axisymmetry-Broken P-Wave Fermi Gases
• Universal relations and normal phase of an ultracold Fermi gas with coexisting $s$- and $p$-wave interactions
• Universal relations of strongly interacting Fermi gases with multiple scattering channels

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• Unitarity-limited behavior of three-body collisions in a p-wave interacting Fermi gas
• Quantitative analysis of $p$-wave three-body losses via cascade process
• Stable p-wave resonant two-dimensional Fermi-Bose dimers
• High-momentum tail and universal relations of a Fermi gas near a Raman-dressed Feshbach resonance
• Universal three-body bound states in mixed dimensions beyond the Efimov paradigm
• Universal relations for spin-orbit coupled Fermi gas near an s-wave resonance
• P-wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps
• Universal relations for a spin-polarized Fermi gas in two dimensions
• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
• Universal relations and normal-state properties of a Fermi gas with laser-dressed mixed-partial-wave interactions
• Resonantly interacting $p$-wave Fermi superfluid in two dimensions: Tan's contact and breathing mode
• Three-body contact for fermions. I. General relations
• Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling
• Efimov Effect in Long-range Quantum Spin Chains
• Universal Bound States in Long-range Spin Chains with an Impurity
• Elastic collision rates of spin-polarized fermions in two dimensions
• Universal Relations in Long-range Quantum Spin Chains