5,314 research outputs found
Atomic spin squeezing in an optical cavity
We consider squeezing of one component of the collective spin vector of an
atomic ensemble inside an optical cavity. The atoms interact with a cavity
mode, and the squeezing is obtained by probing the state of the light field
that is transmitted through the cavity. Starting from the stochastic master
equation, we derive the time evolution of the state of the atoms and the cavity
field, and we compute expectation values and variances of the atomic spin
components and the quadratures of the cavity mode. The performance of the setup
is compared to spin squeezing of atoms by probing of a light field transmitted
only once through the sample.Comment: 8 pages, 2 figure
Model wavefunctions for interfaces between lattice Laughlin states
We study the interfaces between lattice Laughlin states at different
fillings. We propose a class of model wavefunctions for such systems
constructed using conformal field theory. We find a nontrivial form of charge
conservation at the interface, similar to the one encountered in the field
theory works from the literature. Using Monte Carlo methods, we evaluate the
correlation function and entanglement entropy at the border. Furthermore, we
construct the wavefunction for quasihole excitations and evaluate their mutual
statistics with respect to quasiholes originating at the same or the other side
of the interface. We show that some of these excitations lose their anyonic
statistics when crossing the interface, which can be interpreted as
impermeability of the interface to these anyons. Contrary to most of the
previous works on interfaces between topological orders, our approach is
microscopic, allowing for a direct simulation of e.g. an anyon crossing the
interface. Even though we determine the properties of the wavefunction
numerically, the closed-form expressions allow us to study systems too large to
be simulated by exact diagonalization.Comment: A number of changes were made in response to referees' comments:
large parts of the text were rewritten, new results were added, some of the
old results were reinterpreted, the discussion of connection to earlier works
was expande
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