62 research outputs found
Transfer of a Polaritonic Qubit through a Coupled Cavity Array
We demonstrate a scheme for quantum communication between the ends of an
array of coupled cavities. Each cavity is doped with a single two level system
(atoms or quantum dots) and the detuning of the atomic level spacing and
photonic frequency is appropriately tuned to achieve photon blockade in the
array. We show that in such a regime, the array can simulate a dual rail
quantum state transfer protocol where the arrival of quantum information at the
receiving cavity is heralded through a fluorescence measurement. Communication
is also possible between any pair of cavities of a network of connected
cavities.Comment: Contribution to Special Issue in Journal of Modern Optics celebrating
the 60th birthday of Peter L. Knigh
Topological data analysis and machine learning
Topological data analysis refers to approaches for systematically and
reliably computing abstract ``shapes'' of complex data sets. There are various
applications of topological data analysis in life and data sciences, with
growing interest among physicists. We present a concise yet (we hope)
comprehensive review of applications of topological data analysis to physics
and machine learning problems in physics including the detection of phase
transitions. We finish with a preview of anticipated directions for future
research.Comment: Invited review, 15 pages, 7 figures, 117 reference
Photonic band structure design using persistent homology
The machine learning technique of persistent homology classifies complex
systems or datasets by computing their topological features over a range of
characteristic scales. There is growing interest in applying persistent
homology to characterize physical systems such as spin models and multiqubit
entangled states. Here we propose persistent homology as a tool for
characterizing and optimizing band structures of periodic photonic media. Using
the honeycomb photonic lattice Haldane model as an example, we show how
persistent homology is able to reliably classify a variety of band structures
falling outside the usual paradigms of topological band theory, including "moat
band" and multi-valley dispersion relations, and thereby control the properties
of quantum emitters embedded in the lattice. The method is promising for the
automated design of more complex systems such as photonic crystals and Moire
superlattices.Comment: Published version; 9 pages, 7 figure
Pinning quantum phase transition of photons in a hollow-core fiber
We show that a pinning quantum phase transition for photons could be observed
in a hollow-core one-dimensional fiber loaded with a cold atomic gas. Utilizing
the strong light confinement in the fiber, a range of different strongly
correlated polaritonic and photonic states, corresponding to both strong and
weak interactions can be created and probed. The key ingredient is the creation
of a tunable effective lattice potential acting on the interacting polaritonic
gas which is possible by slightly modulating the atomic density. We analyze the
relevant phase diagram corresponding to the realizable Bose-Hubbard (weak) and
sine-Gordon (strong) interacting regimes and conclude by describing the
measurement process. The latter consists of mapping the stationary excitations
to propagating light pulses whose correlations can be efficiently probed once
they exit the fiber using available optical technologiesComment: 4 pages, 4 figures. Comments welcome
Simulation of high-spin Heisenberg models in coupled cavities
We propose a scheme to realize the Heisenberg model of any spin in an
arbitrary array of coupled cavities. Our scheme is based on a fixed number of
atoms confined in each cavity and collectively applied constant laser fields,
and is in a regime where both atomic and cavity excitations are suppressed. It
is shown that as well as optically controlling the effective spin Hamiltonian,
it is also possible to engineer the magnitude of the spin. Our scheme would
open up an unprecedented way to simulate otherwise intractable high-spin
problems in many-body physics.Comment: 4 pages, 2 figure
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