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Symphony on Strong Field Approximation.
TLDR
The main novel part of the presented theory concerns generalizations of SFA to time-dependent treatment of two-electron atoms, allowing for studies of an interplay between Electron Impact Ionization and Resonant Excitation with Subsequent Ionization.
Thouless Time Analysis of Anderson and Many-Body Localization Transitions.
TLDR
It is argued that the two parameter scaling breaks down in the vicinity of the transition to the localized phase, signaling a slowing-down of dynamics.
At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
We address the question whether the super-Heisenberg scaling for quantum estimation is realizable. We unify the results of two approaches. In the first one, the original system is compared with its
Non-standard Hubbard models in optical lattices: a review.
TLDR
The main part of the review discusses the importance of additional terms appearing when refining the tight-binding approximation for the original physical Hamiltonian, and the effects related to higher Bloch bands also become important even for deep optical lattices.
Anderson localization of solitons.
TLDR
It is shown that in a spatially correlated disordered potential, the quantum motion of a bright soliton displays Anderson localization, which can be much larger than the soliton size and could be observed experimentally.
Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices.
TLDR
Analysis of possible routes towards Anderson-like localization of Bose-Einstein condensates in disordered potentials shows that incommensurable superlattices should allow for the observation of the crossover from the nonlinear screening regime to the Anderson localized case within realistic experimental parameters.
Level statistics across the many-body localization transition
TLDR
It is argued that the transition in the case of random disorder exhibits universal features that are identified by constructing an appropriate model of intermediate spectral statistics which is a generalization of the family of short-range plasma models.
Polynomially Filtered Exact Diagonalization Approach to Many-Body Localization.
TLDR
The disorder strength and system size scaling of Thouless time is investigated, and possible scenarios regarding the many-body localization transition obtaining estimates for the critical disorder strength are discussed.
Discrete disorder models for many-body localization
Using exact diagonalization technique, we investigate the many-body localization phenomenon in the 1D Heisenberg chain comparing several disorder models. In particular we consider a family of
Mean-field dynamics of the superfluid-insulator phase transition in a gas of ultracold atoms
A large-scale dynamical simulation of the superfluid-Mott-insulator transition in a gas of ultracold atoms placed in an optical lattice is performed using the time-dependent Gutzwiller mean-field
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