Critical dynamics in trapped particle systems
arXiv:1107.0815 · doi:10.1088/1742-5468/2011/08/L08001
Abstract
We discuss the effects of a trapping space-dependent potential on the critical dynamics of lattice gas models. Scaling arguments provide a dynamic trap-size scaling framework to describe how critical dynamics develops in the large trap-size limit. We present numerical results for the relaxational dynamics of a two-dimensional lattice gas (Ising) model in the presence of a harmonic trap, which support the dynamic trap-size scaling scenario.
7 pages
References in corpus (17)
- Many-Body Physics with Ultracold Gases
- Observation of scale invariance and universality in two-dimensional Bose gases
- Critical Behavior of a Trapped Interacting Bose Gas
- Critical Point of an Interacting Two-Dimensional Atomic Bose Gas
- The trapped two-dimensional Bose gas: from Bose-Einstein condensation to Berezinskii-Kosterlitz-Thouless physics
- Entanglement in spin chains with gradients
- Quantum critical behavior and trap-size scaling of trapped bosons in a one-dimensional optical lattice
- Equilibrium and off-equilibrium trap-size scaling in 1D ultracold bosonic gases
- Critical quench dynamics in confined systems
- Criticality in Trapped Atomic Systems
- Phase Transition in Space: How Far Does a Symmetry Bend Before It Breaks?
- Gradient critical phenomena in the Ising quantum chain
- Scaling of bipartite entanglement in one-dimensional lattice systems with a trapping potential
- Relaxational dynamics in 3D randomly diluted Ising models
- Gradient critical phenomena in the Ising quantum chain: surface behaviour
- Finite-size scaling behavior in trapped systems
- Quasi-long-range order in trapped systems