Localisation in space and time in disordered-lattice open quantum dynamics

Abstract

We study a two-dimensional tight-binding lattice for excitons with on-site disorder, coupled to a thermal environment at infinite temperature. The disorder acts to localise an exciton spatially, while the environment generates dynamics which enable exploration of the lattice. Although the steady state of the system is trivially uniform, we observe a rich dynamics and uncover a dynamical phase transition in the space of temporal trajectories. This transition is identified as a localisation in the dynamics generated by the bath. We explore spatial features in the dynamics and employ a generalisation of the inverse participation ratio to deduce an ergodic timescale for the lattice.

References in corpus (9)

• The large deviation approach to statistical mechanics
• Dynamic first-order phase transition in kinetically constrained models of glasses
• Absence of Thermalization in Nonintegrable Systems
• Nonequilibrium microcanonical and canonical ensembles and their equivalence
• Localization in one dimensional lattices with non-nearest-neighbor hopping: Generalized Anderson and Aubry-André models
• DMRG-study of current and activity fluctuations near non-equilibrium phase transitions
• Invariant quantities in shear flow
• Transition between localized and extended states in the hierarchical Anderson model
• Enhancement of coherent energy transfer by disorder and temperature in light harvesting processes

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• Boundary-driven Lindblad dynamics of random quantum spin chains : strong disorder approach for the relaxation, the steady state and the current
• Control of a single-particle localization in open quantum systems
• Quantum jumps on Anderson attractors
• Dissipative random quantum spin chain with boundary-driving and bulk-dephasing: magnetization and current statistics in the Non-Equilibrium-Steady-State
• Bound state and Localization of excitation in many-body open systems
• Prominent interference peaks in the dephasing Anderson model