Nonlinear Phenomenology from Quantum Mechanics: Soliton in a Lattice
arXiv:0903.5019 · doi:10.1103/PhysRevLett.101.170405
Abstract
We study a soliton in an optical lattice holding bosonic atoms quantum mechanically using both an exact numerical solution and quantum Monte Carlo simulations. The computation of the state is combined with an explicit account of the measurements of the numbers of the atoms at the lattice sites. In particular, importance sampling in the quantum Monte Carlo method arguably produces faithful simulations of individual experiments. Even though the quantum state is invariant under lattice translations, an experiment may show a noisy version of the localized classical soliton.
arXiv comment4 pages, 2 figures
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- Quantum signatures of self-trapping transition in attractive lattice bosons
- Emergent classicality in continuous quantum measurements
- Dark solitons near the Mott-insulator--superfluid phase transition
- Dynamical bifurcation as a semiclassical counterpart of a quantum phase transition
- Nonlinearity from quantum mechanics: Dynamically unstable Bose-Einstein condensate in a double-well trap
- Spectral properties of attractive bosons in a ring lattice including a single-site potential
- Solving the Bose-Hubbard model in new ways