2014
DOI: 10.1088/1367-2630/16/11/113038
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Many-body state engineering using measurements and fixed unitary dynamics

Abstract: We develop a scheme to prepare a desired state or subspace in high-dimensional Hilbert-spaces using repeated applications of a single static projection operator onto the desired target and fixed unitary dynamics. Benchmarks against other control schemes, performed on generic Hamiltonians and on Bose-Hubbard systems, establish the competitiveness of the method. As a concrete application of the control of mesoscopic atomic samples in optical lattices we demonstrate the near deterministic preparation of Schröding… Show more

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Cited by 41 publications
(48 citation statements)
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“…In the above the Markov approximation is implied in the limit when T=0 [60,61].This allows to consider the effect of measurement back-action, the role of local processes and their interplay due to light-induced non-local interactions simultaneously. This opens a new venue for exploration regarding the design of global structured dissipation channels and measurement induced projection and state design of non-trivial quantum correlated states [50][51][52], as well as, control [45,46] and the transition to classicality [64]. As it has been shown, this can greatly enhance and optimise the desired quantum properties of light by design.…”
Section: Effective Master Equationmentioning
confidence: 99%
“…In the above the Markov approximation is implied in the limit when T=0 [60,61].This allows to consider the effect of measurement back-action, the role of local processes and their interplay due to light-induced non-local interactions simultaneously. This opens a new venue for exploration regarding the design of global structured dissipation channels and measurement induced projection and state design of non-trivial quantum correlated states [50][51][52], as well as, control [45,46] and the transition to classicality [64]. As it has been shown, this can greatly enhance and optimise the desired quantum properties of light by design.…”
Section: Effective Master Equationmentioning
confidence: 99%
“…Projective measurements are essential elements of quantum technologies, for example for teleportation [24], measurement-based quantum computation [25], entangling macroscopic atomic ensembles [26], many-body state engineering [27] or entanglement generation between superconducting qubits within a meter of distance [28]. In particular, for cold atoms in optical lattices, nondemolition quantum measurements have been proposed for the creation and the detection of spin-spin correlations [29].…”
Section: Introductionmentioning
confidence: 99%
“…They also naturally appear in open quantum systems [10,11] and are connected to the study of non-equilibrium thermodynamics and non-equilibrium quantum phase transitions [12]. It has been pointed out that engineering open quantum systems can induce a phase space dynamics which drives the quantum system in a pure state by solely dissipative means [13][14][15][16]. Controlling and understanding the non-equilibrium steady-states of an open many-body quantum system therefore offers new routes for quantum state engineering and out-of-equilibrium quantum dynamics.…”
mentioning
confidence: 99%