Breakdown of Tan’s Relation in Lossy One-Dimensional Bose Gases
| Autor: | Jérôme Dubail, Isabelle Bouchoule |
|---|---|
| Přispěvatelé: | Laboratoire Charles Fabry / Gaz Quantiques, Laboratoire Charles Fabry (LCF), Institut d'Optique Graduate School (IOGS)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Institut d'Optique Graduate School (IOGS)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique et Chimie Théoriques (LPCT), Institut de Chimie du CNRS (INC)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Coupling constant Condensed Matter::Quantum Gases Quantum Physics General Physics etc Bose gas General Physics: Statistical and Quantum Mechanics [PHYS.COND.GAS]Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas] Statistical and Quantum Mechanics General Physics and Astronomy Scattering length 01 natural sciences [PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] Momentum Quantum mechanics 0103 physical sciences Atom Rapidity Quantum Information Condensed Matter - Quantum Gases 010306 general physics Adiabatic process Stationary state |
| Zdroj: | Physical Review Letters Physical Review Letters, American Physical Society, 2021, 126 (16), pp.160603. ⟨10.1103/PhysRevLett.126.160603⟩ Phys.Rev.Lett. Phys.Rev.Lett., 2021, 126 (16), pp.160603. ⟨10.1103/PhysRevLett.126.160603⟩ |
| ISSN: | 0031-9007 1079-7114 |
| DOI: | 10.1103/PhysRevLett.126.160603⟩ |
| Popis: | In quantum gases with contact repulsion, the distribution of momenta of the atoms typically decays as $\sim 1/|p|^4$ 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. Comment: v1: 6 pages. v2: accepted version. 6 pages+10 pages of Supplemental Material. Substantial revision, which includes a full derivation of Eq. (4), relating the tail of the momentum distribution to the one of the rapidity distribution |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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