TY - JOUR

T1 - Quantum-unbinding near a zero temperature liquid-gas transition

AU - Zwerger, Wilhelm

N1 - Publisher Copyright:
© 2019 IOP Publishing Ltd and SISSA Medialab srl.

PY - 2019/10/22

Y1 - 2019/10/22

N2 - 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 ∼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 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.

AB - 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 ∼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 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.

UR - http://www.scopus.com/inward/record.url?scp=85075501650&partnerID=8YFLogxK

U2 - 10.1088/1742-5468/ab3ccc

DO - 10.1088/1742-5468/ab3ccc

M3 - Article

AN - SCOPUS:85075501650

SN - 1742-5468

VL - 2019

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

IS - 10

M1 - 103104

ER -