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Início
Agenda |
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- 04 de maio de 2016
16h30
F-210 -
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Prof. Analabha Roy
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National Institute
for Theoretical Physics, Stellenbosch, South Africa
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Simulation
of Quantum Spin Dynamics by Phase Space Sampling of BBGKY
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Trajectories
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Recent experimental developments in quantum
simulators with lattice spins in ion traps have necessitated the
search for numerical techniques that adequately describe their
dynamics. While methods based on matrix product states have been
successful with one-dimensional systems up to intermediate
time-scales, computational methods of equivalent accuracy for
larger dimensions remain elusive. I will present a novel method
that is suitable for simulating the dynamics of quantum spin
models of any dimension. The method samples the many body Wigner
function and evaluates the evolution equations obtained from the
Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy. Higher
orders in the hierarchy allow for systematic refinements.
Quantum correlations can be treated through both, the Wigner
function sampling and the BBGKY evolution, bringing about highly
accurate estimates of correlations and entanglement witnesses.
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The method is particularly suitable for
nonintegrable systems, especially those with long-range
interactions. I will demonstrate its efficacy by comparing with
exact results, as well as other numerical methods. Finally, I
conclude with outlooks into modelling the Lindblad dynamics of
the collective scattering of classical light by cold quantum
gases, especially phenomena like superradiance, as well as
experimental corrections in lattice spin simulators due to
decoherence.
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