Quenching small quantum gases: Genesis of the orthogonality catastrophe

@article{Campbell2014QuenchingSQ,
  title={Quenching small quantum gases: Genesis of the orthogonality catastrophe},
  author={Steve Campbell and Miguel 'Angel Garc'ia-March and Thom{\'a}s Fogarty and Thomas Busch},
  journal={Physical Review A},
  year={2014},
  volume={90}
}
We study the dynamics of two strongly interacting bosons with an additional impurity atom trapped in a harmonic potential. Using exact numerical diagonalization we are able to fully explore the dynamical evolution when the interaction between the two distinct species is suddenly switched on (quenched). We examine the behavior of the densities, the entanglement, the Loschmidt echo and the spectral function for a large range of inter-species interactions and find that even in such small systems… 
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References

SHOWING 1-10 OF 91 REFERENCES

Orthogonality catastrophe as a consequence of qubit embedding in an ultracold Fermi gas

We investigate the behavior of a two-level atom coupled to a one-dimensional, ultracold Fermi gas. The sudden switching on of the scattering between the two entities leads to the loss of any…

Orthogonality catastrophe and decoherence in a trapped-fermion environment.

This work demonstrates that the Fermi-edge singularity can be seen in the controllable domain of ultracold trapped gases by providing an analytic description of the out-of-equilibrium response to an atomic impurity, both at zero and at finite temperature.

Material-barrier tunnelling in one-dimensional few-boson mixtures

We study the quantum dynamics of strongly interacting few-boson mixtures in one-dimensional traps. If one species is strongly localized compared to the other (e.g., much heavier), it can serve as an…

Evolution from a Bose-Einstein condensate to a Tonks-Girardeau gas: An exact diagonalization study

We study ground state properties of spinless, quasi one-dimensional bosons which are confined in a harmonic trap and interact via repulsive delta-potentials. We use the exact diagonalization method…

Quantum breathing of an impurity in a one-dimensional bath of interacting bosons.

The TDMRG method is used to follow the real-time dynamics of a single impurity embedded in a one-dimensional bath of interacting bosons, and the impurity breathing mode is found to be well described by a single oscillation frequency and a damping rate.

Entanglement control via reservoir engineering in ultracold atomic gases

We study the entanglement of two impurity qubits immersed in a Bose-Einstein condensate (BEC) reservoir. This open quantum system model allows for interpolation between a common dephasing scenario…

Decay of Loschmidt echo enhanced by quantum criticality.

It is found that the quantum critical behavior of E strongly affects its capability of enhancing the decay of LE: near the critical value of the transverse field entailing the happening of quantum phase transition, the off-diagonal elements of the reduced density matrix describing S vanish sharply.

Time-Dependent Impurity in Ultracold Fermions: Orthogonality Catastrophe and Beyond

Recent experimental realization of strongly imbalanced mixtures of ultracold atoms opens new possibilities for studying impurity dynamics in a controlled setting. We discuss how the techniques of…

Interspecies tunneling in one-dimensional Bose mixtures

We study the ground-state properties and quantum dynamics of few-boson mixtures with strong interspecies repulsion in one-dimensional traps. If one species localizes at the center, e.g., due to a…

Few interacting fermions in a one-dimensional harmonic trap

We study spin-1/2 fermions, interacting via a two-body contact potential, in a one-dimensional harmonic trap. Applying exact diagonalization, we investigate their behavior at finite interaction…
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