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Article overview
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Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains | | Federico Carollo
; Juan P. Garrahan
; Igor Lesanovsky
; Carlos Pérez-Espigares
; | | Date: |
1 Mar 2017 | | Abstract: | We consider a class of either fermionic or bosonic open quantum chains driven
by dissipative interactions at the boundaries and study the interplay of
coherent transport and dissipative processes, such as bulk dephasing and
diffusion. Starting from the microscopic formulation, we show that the dynamics
on large scales can be described in terms of fluctuating hydrodynamics (FH).
This is an important simplification as it allows to apply the methods of
macroscopic fluctuation theory (MFT) to compute the large deviation (LD)
statistics of time-integrated currents. In particular, fermionic open chains
display a third-order dynamical phase transition in LD functions. We show that
this transition is manifested in a singular change in the structure of
trajectories: while typical trajectories are diffusive, rare trajectories
associated to atypical currents are ballistic and hyperuniform in their spatial
structure. We confirm these results by numerically simulating ensembles of rare
trajectories, via the cloning method, including the computation of their
structure factors. | | Source: | arXiv, 1703.0355 | | Services: | Forum | Review | PDF | Favorites | |
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