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arXiv · 1104.2675

Loschmidt echo in one-dimensional interacting Bose gases

K. Lelas·T. Ševa·H. Buljan
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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.

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K. Lelas, T. Ševa, H. Buljan. 2011-04-19. Loschmidt echo in one-dimensional interacting Bose gases. https://doi.org/10.1103/physreva.84.063601

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