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

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 sho...

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Main Authors:	Carollo, Federico, Garrahan, Juan P., Lesanovsky, Igor, Pérez-Espigares, Carlos
Format:	Article
Language:	English
Published:	American Physical Society 2017
Online Access:	http://eprints.nottingham.ac.uk/47945/ http://eprints.nottingham.ac.uk/47945/ http://eprints.nottingham.ac.uk/47945/ http://eprints.nottingham.ac.uk/47945/1/qhyperPRX_v3.pdf

id	nottingham-47945
recordtype	eprints
spelling	nottingham-479452017-12-07T13:22:24Z http://eprints.nottingham.ac.uk/47945/ Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains Carollo, Federico Garrahan, Juan P. Lesanovsky, Igor Pérez-Espigares, Carlos 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. American Physical Society 2017-11-13 Article PeerReviewed application/pdf en http://eprints.nottingham.ac.uk/47945/1/qhyperPRX_v3.pdf 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, 96 . 052118/1-052118/12. ISSN 1550-2376 https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.052118 doi:10.1103/PhysRevE.96.052118 doi:10.1103/PhysRevE.96.052118
repository_type	Digital Repository
institution_category	Local University
institution	University of Nottingham Malaysia Campus
building	Nottingham Research Data Repository
collection	Online Access
language	English
description	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.
format	Article
author	Carollo, Federico Garrahan, Juan P. Lesanovsky, Igor Pérez-Espigares, Carlos
spellingShingle	Carollo, Federico Garrahan, Juan P. Lesanovsky, Igor Pérez-Espigares, Carlos Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains
author_facet	Carollo, Federico Garrahan, Juan P. Lesanovsky, Igor Pérez-Espigares, Carlos
author_sort	Carollo, Federico
title	Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains
title_short	Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains
title_full	Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains
title_fullStr	Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains
title_full_unstemmed	Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains
title_sort	fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains
publisher	American Physical Society
publishDate	2017
url	http://eprints.nottingham.ac.uk/47945/ http://eprints.nottingham.ac.uk/47945/ http://eprints.nottingham.ac.uk/47945/ http://eprints.nottingham.ac.uk/47945/1/qhyperPRX_v3.pdf
first_indexed	2018-09-06T13:56:25Z
last_indexed	2018-09-06T13:56:25Z
_version_	1610866686516264960

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

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