Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains

Carollo, Federico and Garrahan, Juan P. and Lesanovsky, Igor and Pérez-Espigares, Carlos (2017) Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains. Physical Review E . ISSN 1550-2376 (In Press)

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Abstract

We consider a class of either fermionic or bosonic non-interacting 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, this permits us to show that 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 with 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, and by exact numerical diagonalization of the microscopic quantum generator.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Depositing User: Eprints, Support
Date Deposited: 08 Nov 2017 10:50
Last Modified: 08 Nov 2017 11:24
URI: http://eprints.nottingham.ac.uk/id/eprint/47945

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