Dark solitons revealed in Lieb-Liniger eigenstates
arXiv:1905.04604 · doi:10.1103/PhysRevResearch.2.033368
Abstract
We study how dark solitons, i.e. solutions of one-dimensional single-particle nonlinear time-dependent Schrödinger equation, emerge from eigenstates of a linear many-body model of contact interacting bosons moving on a ring, the Lieb-Liniger model. This long-standing problem was addressed by various groups, which presented different, seemingly unrelated, procedures to reveal the solitonic waves directly from the many-body model. Here, we propose a unification of these results using a simple Ansatz for the many-body eigenstate of the Lieb-Liniger model, which gives us access to systems of hundreds of atoms. In this approach, mean-field solitons emerge in a single-particle density through repeated measurements of particle positions in the Ansatz state. The post-measurement state turns out to be a wave packet of yrast states of the reduced system.
arXiv comment8 pages of the main text + 7 pages of appendices
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Cited by in corpus (8)
- Quantum dark solitons in ultracold one-dimensional Bose and Fermi gases
- Signatures of the BCS-BEC crossover in the yrast spectra of Fermi quantum rings
- Classical and quantum metrology of the Lieb-Liniger model
- Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons
- Measurement of one-dimensional matter-wave quantum breather
- Drag-induced dynamical formation of dark solitons in Bose mixture on a ring
- Dynamics of quantum double dark-solitons and an exact finite-size scaling of Bose-Einstein condensation
- Vortices in the Many-Body Excited States of Interacting Bosons in Two Dimension