Many-body soliton-like states of the bosonic ideal gas

Abstract

We study the lowest energy states for fixed total momentum, i.e. yrast states, of $N$ bosons moving on a ring. As in the paper of A. Syrwid and K. Sacha \cite{syrwid2015} , we compare mean field solitons with the yrast states, being the many-body Lieb-Liniger eigenstates. We show that even in the limit of vanishing interaction the yrast states possess features typical for solitons, like the phase jumps and the density notches. These properties are simply effects of the bosonic symmetrization and are encoded in the Dicke states hidden in the yrast states.

arXiv comment9 pages, 8 Figures, accepted to PRA

References in corpus (15)

• Dark Solitons in Bose-Einstein Condensates
• Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
• Twin matter waves for interferometry beyond the classical limit
• Deterministic entanglement generation from driving through quantum phase transitions
• Stationary solutions of the one-dimensional nonlinear Schroedinger equation: II. Case of attractive nonlinearity
• Applied Bohmian Mechanics
• The Yrast Spectra of Weakly Interacting Bose-Einstein Condensates
• Near Resonant Spatial Images of Confined Bose-Einstein Condensates in the '4D' Magnetic Bottle
• Topological Winding and Unwinding in Metastable Bose-Einstein Condensates
• Metastable Quantum Phase Transitions in a Periodic One-dimensional Bose Gas: Mean-Field and Bogoliubov Analyses
• Lieb-Liniger model: emergence of dark solitons in the course of measurements of particle positions
• Correlations in atomic systems: Diagnosing coherent superpositions
• Nucleation in finite topological systems during continuous metastable quantum phase transitions
• Single-shot simulations of dynamics of quantum dark solitons
• Mean-field yrast spectrum of a two-component Bose gas in ring geometry: persistent currents at higher angular momentum

Cited by in corpus (10)

• Strongly correlated quantum droplets in quasi-1D dipolar Bose gas
• Quantum dark solitons in the one-dimensional Bose gas
• Quantum dark solitons in ultracold one-dimensional Bose and Fermi gases
• Dark solitons revealed in Lieb-Liniger eigenstates
• Dipolar bosons in one dimension: the case of longitudinal dipole alignment
• Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring
• Roton in a few-body dipolar system
• Measurement of one-dimensional matter-wave quantum breather
• Drag-induced dynamical formation of dark solitons in Bose mixture on a ring
• Breakdown of the mean field for dark solitons of dipolar bosons in a one-dimensional harmonic trap