Quantum localization and bound state formation in Bose-Einstein condensates
arXiv:1007.2416 · doi:10.1103/PhysRevA.82.063620
Abstract
We discuss the possibility of exponential quantum localization in systems of ultracold bosonic atoms with repulsive interactions in open optical lattices without disorder. We show that exponential localization occurs in the maximally excited state of the lowest energy band. We establish the conditions under which the presence of the upper energy bands can be neglected, determine the successive stages and the quantum phase boundaries at which localization occurs, and discuss schemes to detect it experimentally by visibility measurements. The discussed mechanism is a particular type of quantum localization that is intuitively understood in terms of the interplay between nonlinearity and a bounded energy spectrum.
6 pages, 5 figures
References in corpus (14)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Anderson localization of a non-interacting Bose-Einstein condensate
- Dynamical Mean Field Theory of the Bose-Hubbard Model
- High-Temperature Atomic Superfluidity in Lattice Boson-Fermion Mixtures
- Bond algebraic liquid phase in strongly correlated multiflavor cold atom systems
- Quantum signatures of breather-breather interactions
- Mixtures of strongly interacting bosons in optical lattices
- Attractive ultracold bosons in a necklace optical potential
- Bose-Hubbard model with attractive interactions
- Phase coherence, visibility, and the superfluid--Mott-insulator transition on one-dimensional optical lattices
- Thermodynamic identities and particle number fluctuations in weakly interacting Bose--Einstein condensates
- A simple iterative algorithm for generating selected eigenspaces of large matrices
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- Microcanonical entropy for classical systems
- Finite-Size Effects with Boundary Conditions on Bose-Einstein Condensation
- Spectral properties of attractive bosons in a ring lattice including a single-site potential