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  Asymmetry in energy versus spin transport in certain interacting disordered systems

Mendoza-Arenas, J. J., Žnidarič, M., Varma, V. K., Goold, J., Clark, S. R., & Scardicchio, A. (2019). Asymmetry in energy versus spin transport in certain interacting disordered systems. Physical Review B, 99(9): 094435. doi:10.1103/PhysRevB.99.094435.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0003-5D4C-1 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-B7F7-7
Genre: Journal Article

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https://arxiv.org/abs/1803.11555 (Preprint)
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 Creators:
Mendoza-Arenas, J. J.1, 2, Author
Žnidarič, M.3, Author
Varma, V. K.4, 5, Author
Goold, J.6, Author
Clark, S. R.7, 8, Author           
Scardicchio, A.9, 10, Author
Affiliations:
1Departamento de Física, Universidad de los Andes, ou_persistent22              
2Clarendon Laboratory, University of Oxford, ou_persistent22              
3Physics Department, Faculty of Mathematics and Physics, University of Ljubljana, ou_persistent22              
4College of Staten Island and Graduate Center, CUNY, ou_persistent22              
5Department of Physics and Astronomy, University of Pittsburgh, ou_persistent22              
6School of Physics, Trinity College Dublin, ou_persistent22              
7H.H. Wills Physics Laboratory, University of Bristol, ou_persistent22              
8Quantum Condensed Matter Dynamics, Condensed Matter Dynamics Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_1938293              
9Abdus Salam ICTP, ou_persistent22              
10INFN, Sezione di Trieste, ou_persistent22              

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 Abstract: We study energy transport in disordered XXZ spin-1/2 chains driven to nonequilibrium configurations by thermal reservoirs of different temperatures at the boundaries, using large-scale matrix product simulations. In particular we discuss the transition between diffusive and subdiffusive transport in sectors of zero and finite magnetization at high temperature. At large anisotropies we find that diffusive energy transport prevails over a large range of disorder strengths, which is in contrast to spin transport that is subdiffusive in the same regime for weak disorder. However, at finite magnetization both energy and spin currents decay as a function of the system size with the same exponent. We conclude that diffusion of energy is much more pervasive than that of magnetization in these disordered spin-1/2 systems, and occurs across a significant range of the interaction-disorder parameter phase space. We support the existence of this asymmetry, reminiscent of that in the clean limit, by an analytical estimation of diffusion constants for weak disorder.

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Language(s): eng - English
 Dates: 2019-01-232018-05-092019-03-222019-03-22
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevB.99.094435
arXiv: 1803.11555
 Degree: -

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Project name : The authors would like to acknowledge the use of the University of Oxford Advanced Research Computing (ARC) facility in carrying out this work [80]. This research is partially funded by the European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013)/ERC Grant Agreement No. 319286 Q-MAC. This work was also supported by the Engineering and Physical Sciences Research Council (EPSRC) National Quantum Technology Hub in Networked Quantum Information Processing (NQIT) Grant No. EP/M013243/1. This project also received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (Grant Agreement No. 758403). J.J.M.-A. acknowledges financial support from Vicerrectoría de Investigaciones through UniAndes-2015 project Quantum control of nonequilibrium hybrid systems-Part II. S.R.C. gratefully acknowledges support from the UK's EPSRC under Grant No. EP/P025110/1. J.G. is supported by a Science Foundation of Ireland (SFI) Royal Society University Research Fellowship. A.S. is partially supported by a Google Faculty Award. We acknowledge helpful discussions with A. Dymarsky, D. A. Huse, V. Oganesyan, and P. Prelovšek.
Grant ID : 319286
Funding program : Funding Programme 7 (FP7)
Funding organization : European Commission (EC)
Project name : The authors would like to acknowledge the use of the University of Oxford Advanced Research Computing (ARC) facility in carrying out this work [80]. This research is partially funded by the European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013)/ERC Grant Agreement No. 319286 Q-MAC. This work was also supported by the Engineering and Physical Sciences Research Council (EPSRC) National Quantum Technology Hub in Networked Quantum Information Processing (NQIT) Grant No. EP/M013243/1. This project also received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (Grant Agreement No. 758403). J.J.M.-A. acknowledges financial support from Vicerrectoría de Investigaciones through UniAndes-2015 project Quantum control of nonequilibrium hybrid systems-Part II. S.R.C. gratefully acknowledges support from the UK's EPSRC under Grant No. EP/P025110/1. J.G. is supported by a Science Foundation of Ireland (SFI) Royal Society University Research Fellowship. A.S. is partially supported by a Google Faculty Award. We acknowledge helpful discussions with A. Dymarsky, D. A. Huse, V. Oganesyan, and P. Prelovšek.
Grant ID : 758403
Funding program : Horizon 2020 (H2020)
Funding organization : European Commission (EC)

Source 1

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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
 Creator(s):
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 99 (9) Sequence Number: 094435 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008