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

Carollo, Federico; Garrahan, Juan P.; Lesanovsky, Igor; Pérez-Espigares, Carlos

Authors

Federico Carollo

Juan P. Garrahan juan.garrahan@nottingham.ac.uk

Igor Lesanovsky igor.lesanovsky@nottingham.ac.uk

Carlos Pérez-Espigares



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.

Journal Article Type Article
Publication Date Nov 13, 2017
Journal Physical Review E
Print ISSN 2470-0045
Electronic ISSN 1550-2376
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 96
Article Number 052118
APA6 Citation Carollo, F., Garrahan, J. P., Lesanovsky, I., & Pérez-Espigares, C. (2017). Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains. Physical Review E, 96, doi:10.1103/PhysRevE.96.052118
DOI https://doi.org/10.1103/PhysRevE.96.052118
Publisher URL https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.052118
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information ©2017 American Physical Society

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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