Quantum unbinding near a zero temperature liquid-gas transition

Abstract

We discuss the quantum phase transition from a liquid to a gaseous ground state in a Bose fluid with increasing strength of the zero point motion. It is shown that in the zero pressure limit, the two different ground states are separated by a quantum tricritical point whose position is determined by a vanishing two-body scattering length. In the presence of a finite three-body scattering amplitude, the superfluid gas at this point exhibits sound modes whose velocity scales linearly with density while the compressibility diverges $\sim p^{-1/3}$ in the limit of vanishing pressure $p$. In the liquid regime of negative scattering lengths, it is shown that $N$-body bound states exist up to arbitrary $N$, consistent with a theorem by Seiringer. The asymptotic scaling $a_{-}(N)\sim N^{-1/2}$ of the scattering lengths where they appear from the continuum is determined from a finite size scaling analysis in the vicinity of the quantum tricritical point. This also provides a qualitative understanding of numerical results for the quantum unbinding of small clusters.

Final version as published

References in corpus (10)

• Quantum liquid droplets in a mixture of Bose-Einstein condensates
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Universal Properties of the Four-Body System with Large Scattering Length
• Three-boson problem at low energy and Implications for dilute Bose-Einstein condensates
• Universal Properties of Two-Dimensional Boson Droplets
• Energetics and structural properties of three-dimensional bosonic clusters near threshold
• Role of Bose Statistics in Crystallization and Quantum Jamming
• Three-body recombination at vanishing scattering lengths in an ultracold Bose gas
• Absence of bound states implies non-negativity of the scattering length

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• Tuning the quantumness of simple Bose systems: A universal phase diagram
• Ensemble inequivalence in long-range quantum systems
• First-order Bose-Einstein condensation with three-body interacting bosons
• Three-body spin mixing in spin-1 Bose-Einstein condensates
• Fate of Multiparticle Resonances: From $Q$-Balls to ${}^3$He Droplets
• Efficient three-body calculations with a two-body mapped grid method
• Complex scaling flows in the quench dynamics of interacting particles
• Three-body universality in ultracold $p$-wave resonant mixtures
• The phase diagram of ultra quantum liquids
• Ensemble Inequivalence in Long-Range Quantum Spin Systems
• Scaling Laws Governing the Collapse of a Bose-Einstein Condensate