Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms

Details Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms

2008-03-10

arxiv.org/abs/0803.1482v1

Nature Physics 4, 878 (2008)

Physics

Quantum Physics

9 pages, 2 figures

Scientific paper

10.1038/nphys1073

An open quantum system, whose time evolution is governed by a master equation, can be driven into a given pure quantum state by an appropriate design of the system-reservoir coupling. This points out a route towards preparing many body states and non-equilibrium quantum phases by quantum reservoir engineering. Here we discuss in detail the example of a \emph{driven dissipative Bose Einstein Condensate} of bosons and of paired fermions, where atoms in an optical lattice are coupled to a bath of Bogoliubov excitations via the atomic current representing \emph{local dissipation}. In the absence of interactions the lattice gas is driven into a pure state with long range order. Weak interactions lead to a weakly mixed state, which in 3D can be understood as a depletion of the condensate, and in 1D and 2D exhibits properties reminiscent of a Luttinger liquid or a Kosterlitz-Thouless critical phase at finite temperature, with the role of the ``finite temperature'' played by the interactions.

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