Quantum dynamics of two trapped bosons following infinite interaction quenches
arXiv:1710.01637 · doi:10.1103/PhysRevA.97.013606
Abstract
We investigate the quantum dynamics of two identical bosons in a one-dimensional harmonic trap following an interaction quench from zero to infinite interaction strength and vice versa. For both quench scenarios, closed analytical expressions for the temporal evolution of the wave function as well as the Loschmidt Echo are found and the dynamics of the momentum distribution as well as the reduced single-particle density matrix are analyzed. We observe a crossover of these quantities between bosonic, "symmetrized" fermionic and fermionic properties. Furthermore, several combined quenches are analyzed as well.
arXiv comment12 pages, 9 figures
References in corpus (32)
- Many-Body Physics with Ultracold Gases
- Feshbach Resonances in Ultracold Gases
- Nonequilibrium dynamics of closed interacting quantum systems
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Realization of an Excited, Strongly-Correlated Quantum Gas Phase
- Quantum transport through a Tonks-Girardeau gas
- Sub-Poissonian fluctuations in a 1D Bose gas: from the quantum quasi-condensate to the strongly interacting regime
- Analytic results for a quantum quench from free to hard-core one dimensional bosons
- Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
- Analytical solutions for the dynamics of two trapped interacting ultracold atoms
- Adiabatic association of ultracold molecules via magnetic field tunable interactions
- Quench-induced breathing mode of one-dimensional Bose gases
- Pathway from condensation via fragmentation to fermionization of cold bosonic systems
- Ultracold Few-Boson Systems in a Double-Well Trap
- Quenching to unitarity: Quantum dynamics in a 3D Bose gas
- Tunneling dynamics of few bosons in a double well
- Matter wave Fourier optics with a strongly interacting two-dimensional Fermi gas
- Interaction quench in a trapped one-dimensional Bose gas
- Strongly correlated Bose gases
- Bound-state signatures in quenched Bose-Einstein condensates
- A Two-Atom Picture of Coherent Atom-Molecule Quantum Beats
- Low-density, one-dimensional quantum gases in a split trap
- Revised Huang-Yang multipolar pseudopotential
- Non-Equilibrium Thermodynamics of Harmonically Trapped Bosons
- Exact dynamics and decoherence of two cold bosons in a 1D harmonic trap
- Dynamics of entanglement between two trapped atoms
- Collective many-body bounce in the breathing-mode oscillations of a Tonks-Girardeau gas
- Bose-Einstein condensation of two interacting particles
- Detection and engineering of spatial mode entanglement with ultra-cold bosons
- Expansion of harmonically trapped interacting particles and time dependence of the contact
- Ballistic quench-induced correlation waves in ultracold gases
- Quenches from gaussian bosons to Tonks-Girardeau gas: stationary states and effects of a confining potential
Cited by in corpus (18)
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Density Oscillations Induced by Individual Ultracold Two-Body Collisions
- Analytical treatment of the interaction quench dynamics of two bosons in a two-dimensional harmonic trap
- Quench Dynamics of Two One-Dimensional Harmonically Trapped Bosons Bridging Attraction and Repulsion
- Fast control of interactions in an ultracold two atom system: Managing correlations and irreversibility
- Stationary and dynamical properties of two harmonically trapped bosons in the crossover from two dimensions to one
- Two-body quench dynamics of harmonically trapped interacting particles
- Analytical solution for the spectrum of two ultracold atoms in a completely anisotropic confinement
- Magnetic properties and quench dynamics of two interacting ultracold molecules in a trap
- Complex scaling flows in the quench dynamics of interacting particles
- Quench dynamics of mass-imbalanced three-body fermionic systems in a spherical trap
- Dynamic structure function of two interacting atoms in 1D
- Sudden quench of harmonically trapped mass-imbalanced fermions
- Effects of Efimov states on quench dynamics in a three-boson trapped system
- Energetics of three interacting mass-imbalanced bodies in a three-dimensional spherical harmonic trap
- Orthogonalization speed-up from quantum coherence after a sudden quench
- Arbitrary interaction quench phenomena in harmonically trapped two-body systems
- Impact of dark states on the stationary properties of quantum particles with off-centered interactions in one dimension