Dynamical formation of two-fold fragmented many-body state induced by an impurity in a double-well

Abstract

We unravel the correlated quantum quench dynamics of a single impurity immersed in a bosonic environment confined in an one-dimensional double-well potential. A particular emphasis is placed on the structure of the time-evolved many-body wave function by relying on a Schmidt decomposition whose coefficients directly quantify the number of configurations that are macroscopically populated. For a non-interacting bosonic bath and weak postquench impurity-bath interactions, we observe the dynamical formation of a two-fold fragmented many-body state which is related to intra-band excitation processes of the impurity and manifests as a two-body phase separation (clustering) between the two species for repulsive (attractive) interactions. Increasing the postquench impurity-bath coupling strength leads to the destruction of the two-fold fragmentation since the impurity undergoes additional inter-band excitation dynamics. By contrast, a weakly interacting bath suppresses excitations of the bath particles and consequently the system attains a weakly fragmented many-body state. Our results explicate the interplay of intra- and inter-band impurity excitations for the dynamical generation of fragmented many-body states in multi-well traps and for designing specific entangled impurity states.

10 pages, 8 figures

References in corpus (25)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Squeezing and entanglement in a Bose-Einstein condensate
• Attractive and repulsive Fermi polarons in two dimensions
• Fisher Information and entanglement of non-Gaussian spin states
• Repulsive Fermi polarons in a resonant mixture of ultracold ${}^6$Li atoms
• Quantum transport through a Tonks-Girardeau gas
• Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
• Reduced density matrices and coherence of trapped interacting bosons
• Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
• Dynamic generation of spin-squeezed states in bosonic Josephson junctions
• Ultracold Few-Boson Systems in a Double-Well Trap
• Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
• Tunneling dynamics of few bosons in a double well
• Transport of strong-coupling polarons in optical lattices
• Few-boson tunneling in a double well with spatially modulated interaction
• Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe
• Coherent single atom shuttle between two Bose-Einstein condensates
• A Quantum Top Inside a Bose Josephson Junction
• Pulse and continuously driven many-body quantum dynamics of bosonic impurities in a Bose-Einstein condensate
• Artificial atoms from cold bosons in one dimension
• An impurity immersed in a double Fermi Sea
• Polaron-Depleton Transition in the Yrast Excitations of a One-Dimensional Bose Gas with a Mobile Impurity
• Critical exponents for an impurity in a bosonic Josephson junction: Position measurement as a phase transition
• Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well