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

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

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.

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(5), Article 052118. https://doi.org/10.1103/PhysRevE.96.052118

• Journal Article Type: Article
• Acceptance Date: Oct 27, 2017
• Publication Date: Nov 13, 2017
• Deposit Date: Nov 8, 2017
• Publicly Available Date: Nov 13, 2017
• Journal: Physical Review E
• Print ISSN: 2470-0045
• Electronic ISSN: 2470-0053
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 96
• Issue: 5
• Article Number: 052118
• DOI: https://doi.org/10.1103/PhysRevE.96.052118
• Public URL: https://nottingham-repository.worktribe.com/output/894713
• Publisher URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.052118
• Additional Information: ©2017 American Physical Society
• Contract Date: Nov 8, 2017