Loschmidt echo in one-dimensional interacting Bose gases
arXiv:1104.2675 · doi:10.1103/PhysRevA.84.063601
Abstract
We explore Loschmidt echo in two regimes of one-dimensional (1D) interacting Bose gases: the strongly interacting Tonks-Girardeau (TG) regime, and the weakly-interacting mean-field regime. We find that the Loschmidt echo of a TG gas decays as a Gaussian when small perturbations are added to the Hamiltonian (the exponent is proportional to the number of particles and the magnitude of a small perturbation squared). In the mean-field regime the Loschmidt echo decays faster for larger interparticle interactions (nonlinearity), and it shows richer behavior than the TG Loschmidt echo dynamics, with oscillations superimposed on the overall decay.
Comparison between Tonks-Girardeau and mean-field fidelities corrected; see new Figure 4 and the "Note added". New references are included
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- Fidelity of fermionic atom-number states subjected to tunneling decay
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