Spreading of correlations and Loschmidt echo after quantum quenches of a Bose gas in the Aubry-André potential

Abstract

We study the spreading of density-density correlations and the Loschmidt echo, after different sudden quenches in an interacting one dimensional Bose gas on a lattice, also in the presence of a superimposed aperiodic potential. We use a time dependent Bogoliubov approach to calculate the evolution of the correlation functions and employ the linked cluster expansion to derive the Loschmidt echo.

10 pages, 14 figures, a section on momentum distribution function is included

References in corpus (7)

• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• Extension of Bogoliubov theory to quasi-condensates
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Dynamical density-density correlations in the one-dimensional Bose gas
• Measuring the dynamic structure factor of a quantum gas undergoing a structural phase transition
• Phase diagram and momentum distribution of an interacting Bose gas in a bichromatic lattice
• Bose-Hubbard model with occupation dependent parameters

Cited by in corpus (8)

• Dynamical signature of localization-delocalization transition in one-dimensional incommensurate lattice
• Lieb-Robinson bound and almost-linear light-cone in interacting boson systems
• Many-body dynamical phase transition in quasi-periodic potential
• Return amplitude after a quantum quench in the XY chain
• Exact spectral function of a Tonks-Girardeau gas in a lattice
• Signatures of the single particle mobility edge in the ground state properties of Tonks-Girardeau and non-interacting Fermi gases in a bichromatic potential
• Emergence of anomalous dynamics from the underlying singular continuous spectrum in interacting many-body systems
• Self-consistent Keldysh approach to quenches in weakly interacting Bose-Hubbard model