Out of equilibrium many-body expansion dynamics of strongly interacting bosons
arXiv:2211.15190 · doi:10.21468/SciPostPhysCore.6.4.073
Abstract
We solve the Schrödinger equation from first principles to investigate the many-body effects in the expansion dynamics of one-dimensional repulsively interacting bosons released from a harmonic trap. We utilize the multiconfigurational time-dependent Hartree method for bosons (MCTDHB) to solve the many-body Schrödinger equation at high level of accuracy. The MCTDHB basis sets are explicitly time-dependent and optimised by variational principle. We probe the expansion dynamics by three key measures; time evolution of one-, two- and three-body densities. We observe when the mean-field theory results to unimodal expansion, the many-body calculation exhibits trimodal expansion dynamics. The many-body features how the initially fragmented bosons independently spreads out with time whereas the mean-field pictures the expansion of the whole cloud. We also present the three different time scale of dynamics of the inner core, outer core and the cloud as a whole. We analyze the key role played by the dynamical fragmentation during expansion. A Strong evidence of the many-body effects is presented in the dynamics of two- and three-body densities which exhibit correlation hole and pronounced delocalization effect.
arXiv comment17 pages, 8 figures
References in corpus (39)
- Many-Body Physics with Ultracold Gases
- Feshbach Resonances in Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Realization of Bose-Einstein condensates in lower dimensions
- A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
- Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
- Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
- Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
- The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
- Conduction of Ultracold Fermions Through a Mesoscopic Channel
- Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
- Experimental investigations of the dipolar interactions between single Rydberg atoms
- Exact coherent states of a harmonically confined Tonks-Girardeau gas
- Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
- Multiconfigurational time-dependent Hartree approaches for indistinguishable particles
- Breakdown of time-dependent mean-field theory for a one-dimensional condensate of impenetrable bosons
- A unified ab-initio approach to the correlated quantum dynamics of ultracold fermionic and bosonic mixtures
- Interaction-controlled transport of an ultracold Fermi gas
- Exact quantum dynamics of bosons with finite-range time-dependent interactions of harmonic type
- Observation of Dynamical Fermionization
- Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
- The multiconfigurational time-dependent Hartree for fermions: Implementation, exactness and application to few-fermion tunneling to open space
- The multiconfigurational time-dependent Hartree method for bosons with internal degrees of freedom: Theory and composite fragmentation of multi-component Bose-Einstein condensates
- Single atom detection in ultracold quantum gases: a review of current progress
- Parametric Excitation of a Bose-Einstein Condensate: From Faraday Waves to Granulation
- MCTDH-X: The multiconfigurational time-dependent Hartree method for indistinguishable particles software
- Observing Properties of an Interacting Homogeneous Bose--Einstein Condensate: Heisenberg-Limited Momentum Spread, Interaction Energy and Free-Expansion Dynamics
- Free expansion of a Bose-Einstein condensate in a 1D optical lattice
- Imaging a single atom in a time-of-flight experiment
- Phases, many-body entropy measures and coherence of interacting bosons in optical lattices
- Many-body entropies, correlations, and emergence of statistical relaxation in interaction quench dynamics of ultracold bosons
- Dynamics of Hubbard Hamiltonians with the multiconfigurational time-dependent Hartree method for indistinguishable particles
- Mott transition in a cavity-boson system: A quantitative comparison between theory and experiment
- Quantum dynamics of few dipolar bosons in a double-well potential
- Dynamics of order-disorder and complexity for interacting bosons in optical lattice
- Closed and Open System Dynamics in a Fermionic Chain with a Microscopically Specified Bath: Relaxation and Thermalization
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- Lecture Notes: many-body quantum dynamics with MCTDH-X
- Strongly interacting bosons in 1D disordered lattice: phase coherence of distorted Mott phases
- Expansion of strongly interacting dipolar bosons in 1D optical lattices
- Quasi-superfluid and Quasi-Mott phases of strongly interacting bosons in shallow optical lattice
- Beyond-mean-field phases of rotating dipolar condensates
- One-Dimensional Quench Dynamics in an Optical Lattice: sine-Gordon and Bose-Hubbard Descriptions
- Third quantization with Hartree approximation for open-system bosonic transport
- Entropy production and statistical relaxation of dipolar bosons and fermions in interaction quench dynamics