Transport through a quantum critical system: A thermodynamically consistent approach

Currents through quantum systems may probe nonanalyticities in quantum-critical many-body ground states. For a large class of dissipative quantum critical systems we show that it is possible to obtain the reduced system dynamics in the vicinity of quantum critical points in a thermodynamically consi...

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Main Authors: C. W. Wächtler, G. Schaller
Format: Article
Language:English
Published: American Physical Society 2020-05-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.023178
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author C. W. Wächtler
G. Schaller
author_facet C. W. Wächtler
G. Schaller
author_sort C. W. Wächtler
collection DOAJ
description Currents through quantum systems may probe nonanalyticities in quantum-critical many-body ground states. For a large class of dissipative quantum critical systems we show that it is possible to obtain the reduced system dynamics in the vicinity of quantum critical points in a thermodynamically consistent way, while capturing non-Markovian effects. We achieve this by combining reaction coordinate mappings with polaron transforms. Exemplarily, we consider the Lipkin-Meshkov-Glick model in a transport setup, where the quantum phase transition manifests itself in the heat transfer statistics.
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spelling doaj.art-1ac2dcbd544c412aa6c6bb97e5be43d92024-04-12T16:54:05ZengAmerican Physical SocietyPhysical Review Research2643-15642020-05-012202317810.1103/PhysRevResearch.2.023178Transport through a quantum critical system: A thermodynamically consistent approachC. W. WächtlerG. SchallerCurrents through quantum systems may probe nonanalyticities in quantum-critical many-body ground states. For a large class of dissipative quantum critical systems we show that it is possible to obtain the reduced system dynamics in the vicinity of quantum critical points in a thermodynamically consistent way, while capturing non-Markovian effects. We achieve this by combining reaction coordinate mappings with polaron transforms. Exemplarily, we consider the Lipkin-Meshkov-Glick model in a transport setup, where the quantum phase transition manifests itself in the heat transfer statistics.http://doi.org/10.1103/PhysRevResearch.2.023178
spellingShingle C. W. Wächtler
G. Schaller
Transport through a quantum critical system: A thermodynamically consistent approach
Physical Review Research
title Transport through a quantum critical system: A thermodynamically consistent approach
title_full Transport through a quantum critical system: A thermodynamically consistent approach
title_fullStr Transport through a quantum critical system: A thermodynamically consistent approach
title_full_unstemmed Transport through a quantum critical system: A thermodynamically consistent approach
title_short Transport through a quantum critical system: A thermodynamically consistent approach
title_sort transport through a quantum critical system a thermodynamically consistent approach
url http://doi.org/10.1103/PhysRevResearch.2.023178
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AT gschaller transportthroughaquantumcriticalsystemathermodynamicallyconsistentapproach