Many-body processes in black and grey matter-wave solitons

Abstract

We perform a comparative beyond mean-field study of black and grey solitonic excitations in a finite ensemble of ultracold bosons confined to a one-dimensional box. An optimized density-engineering potential is developed and employed together with phase-imprinting to cleanly initialize grey solitons. Based on our recently developed Multi-Layer Multi-Configuration Time-Dependent Hartree Method for Bosons, we demonstrate an enhancement of the quantum fluctuations limited lifetime of the soliton contrast with increasing soliton velocity. A natural orbital analysis reveals a two-stage process underlying the decay of the soliton contrast. The broken parity symmetry of grey solitons results in a local asymmetry of the orbital mainly responsible for the decay, which leads to a characteristic asymmetry of remarkably localized two-body correlations. The emergence and decay of these correlations as well as their displacement from the instantaneous soliton position are analysed in detail. Finally, the role of phase-imprinting for the many-body dynamics is illuminated and additional non-local correlations in pairs of counter-propagating grey solitons are unravelled.

References in corpus (14)

• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
• Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
• Observation of Solitonic Vortices in Bose-Einstein Condensates
• Motion of a Solitonic Vortex in the BEC-BCS Crossover
• Chladni solitons and the onset of the snaking instability for dark solitons in confined superfluids
• Exact numerical simulations of a one-dimensional, trapped Bose gas
• Correspondence between dark solitons and the type II excitations of Lieb-Liniger model
• Quantum fluctuations in the image of a Bose gas
• Vortex reconnections in anisotropic trapped three-dimensional Bose-Einstein condensates
• From short-time diffusive to long-time ballistic dynamics: the unusual center-of-mass motion of quantum bright solitons
• Reply to Comment on "Quantum Entangled Dark Solitons formed by Ultracold Atoms in Optical Lattices"
• Quantum dark solitons in the 1D Bose gas and the superfluid velocity
• Angular momentum in interacting many-body systems hides in phantom vortices

Cited by in corpus (27)

• A unified ab-initio approach to the correlated quantum dynamics of ultracold fermionic and bosonic mixtures
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Dark-Bright Soliton Dynamics Beyond the Mean-Field Approximation
• Many-Body Quantum Dynamics in the Decay of Bent Dark Solitons of Bose-Einstein Condensates
• Lieb-Liniger model: emergence of dark solitons in the course of measurements of particle positions
• The uncertainty product of an out-of-equilibrium many-particle system
• Single-shot simulations of dynamics of quantum dark solitons
• Variance of an anisotropic Bose-Einstein condensate
• Collective excitations of dipolar gases based on local tunneling in superlattices
• Quantum dark solitons in ultracold one-dimensional Bose and Fermi gases
• Beyond mean-field dynamics of ultra-cold bosonic atoms in higher dimensions: facing the challenges with a multi-configurational approach
• Quantum dark solitons in Bose gas confined in a hard wall box
• The multi-configurational time-dependent Hartree approach in optimized second quantization: imaginary time propagation and particle number conservation
• Attractive Bose-Einstein condensates in anharmonic traps: Accurate numerical treatment and the intriguing physics of the variance
• Particle imbalanced weakly interacting quantum droplets in one-dimension
• Thermal solitons as revealed by static structure factor
• The BBGKY hierarchy for ultracold bosonic systems: II. Applications
• Two-body correlations and natural orbital tomography in ultracold bosonic systems of definite parity
• Pattern formation of correlated impurities subjected to an impurity-medium interaction pulse
• Superballistic center-of-mass motion in one-dimensional attractive Bose gases: Decoherence-induced Gaussian random walks in velocity space
• Simulation of the Quantum Dynamics of Indistinguishable Bosons with the Coupled Coherent States Method
• Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring
• Uncertainty product of an out-of-equilibrium Bose-Einstein condensate
• Measurement of one-dimensional matter-wave quantum breather
• Temperatures are not useful to characterise bright-soliton experiments for ultra-cold atoms
• Many-body effects in the excitations and dynamics of trapped Bose-Einstein condensates
• Breakdown of the mean field for dark solitons of dipolar bosons in a one-dimensional harmonic trap