Breakdown of Tan’s Relation in Lossy One-Dimensional Bose Gases - Institut d'Optique Graduate School
Journal Articles Physical Review Letters Year : 2021

Breakdown of Tan’s Relation in Lossy One-Dimensional Bose Gases

J. Dubail
  • Function : Author
  • PersonId : 176584
  • IdHAL : jdubail

Abstract

In quantum gases with contact repulsion, the distribution of momenta of the atoms typically decays as ∼ 1/|p|^4 at large momentum p. Tan’s relation connects the amplitude of that 1/|p|^4 tail to the adiabatic derivative of the energy with respect to the gas’ coupling constant or scattering length. Here it is shown that the relation breaks down in the one-dimensional Bose gas with contact repulsion, for a peculiar class of stationary states. These states exist thanks to the infinite number of conserved quantities in the system, and they are characterized by a rapidity distribution which itself decreases as 1/|p|^4. In the momentum distribution, that rapidity tail adds to the usual Tan contact term. Remarkably, atom losses, which are ubiquitous in experiments, do produce such peculiar states. The development of the tail of the rapidity distribution originates from the ghost singularity of the wavefunction immediately after each loss event. This phenomenon is discussed for arbitrary interaction strengths, and it is supported by exact calculations in the two asymptotic regimes of infinite and weak repulsion.
Fichier principal
Vignette du fichier
resubLY16958.pdf (297.75 Ko) Télécharger le fichier
breakdown_p4SMresub.pdf (571.16 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03318184 , version 1 (09-08-2021)

Identifiers

Cite

I. Bouchoule, J. Dubail. Breakdown of Tan’s Relation in Lossy One-Dimensional Bose Gases. Physical Review Letters, 2021, 126 (16), pp.160603. ⟨10.1103/PhysRevLett.126.160603⟩. ⟨hal-03318184⟩
96 View
57 Download

Altmetric

Share

More