Control of a single-particle localization in open quantum systems

Abstract

We investigate the possibility to control localization properties of the asymptotic state of an open quantum system with a tunable synthetic dissipation. The control mechanism relies on the matching between properties of dissipative operators, acting on neighboring sites and specified by a single control parameter, and the spatial phase structure of eigenstates of the system Hamiltonian. As a result, the latter coincide (or near coincide) with the dark states of the operators. In a disorder-free Hamiltonian with a flat band, one can either obtain a localized asymptotic state or populate whole flat and/or dispersive bands, depending on the value of the control parameter. In a disordered Anderson system, the asymptotic state can be localized anywhere in the spectrum of the Hamiltonian. The dissipative control is robust with respect to an additional local dephasing.

6 pages, 5 figures

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• Anderson Transitions
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Universal low-temperature behavior of frustrated quantum antiferromagnets in the vicinity of the saturation field
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Cited by in corpus (1)

• Quantum jumps on Anderson attractors