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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Cited by in corpus (12)

• Dissipation induced extended-localized transition
• Anderson localization in dissipative lattices
• Quantum jumps on Anderson attractors
• Interplay of interaction and disorder in the steady state of an open quantum system
• Prominent interference peaks in the dephasing Anderson model
• Manipulating the Relaxation Time of Boundary-Dissipative Systems through Bond Dissipation
• Dissipation induced transition between delocalization and localization in the three-dimensional Anderson model
• Relaxation of imbalance in a disordered XX model with on-site dephasing
• Inducing a transition between thermal and many-body localized states and detecting many-body mobility edges through dissipation
• Aperiodic Dissipation as a Mechanism for Steady-State Localization
• Localization-delocalization effects of a delocalizing dissipation on disordered XXZ spin chains
• Dissipation induced ergodic-nonergodic transitions in finite-height mosaic Wannier-Stark lattices