2 research outputs found
Detecting many-body entanglements in noninteracting ultracold atomic fermi gases
We explore the possibility of detecting many-body entanglement using
time-of-flight (TOF) momentum correlations in ultracold atomic fermi gases. In
analogy to the vacuum correlations responsible for Bekenstein-Hawking black
hole entropy, a partitioned atomic gas will exhibit particle-hole correlations
responsible for entanglement entropy. The signature of these momentum
correlations might be detected by a sensitive TOF type experiment.Comment: 5 pages, 5 figures, fixed axes labels on figs. 3 and 5, added
reference
Full counting statistics in a disordered free fermion system
The Full Counting Statistics (FCS) is studied for a one-dimensional system of
non-interacting fermions with and without disorder. For two unbiased site
lattices connected at time , the charge variance increases as the natural
logarithm of , following the universal expression . Since the static charge variance for a length
region is given by , this result
reflects the underlying relativistic or conformal invariance and dynamical
exponent of the disorder-free lattice. With disorder and strongly
localized fermions, we have compared our results to a model with a dynamical
exponent , and also a model for entanglement entropy based upon
dynamical scaling at the Infinite Disorder Fixed Point (IDFP). The latter
scaling, which predicts , appears to better
describe the charge variance of disordered 1-d fermions. When a bias voltage is
introduced, the behavior changes dramatically and the charge and variance
become proportional to and , respectively. The
exponent may be related to the critical exponent characterizing
spatial/energy fluctuations at the IDFP.Comment: 10 pages, 14 figures; fixed typos; added references; added IDFP
scaling based upon reference [1]; added finite bias section; fixed typo